Verfügbarkeit: Quantum hall effects

Quantum hall effects: field theoretical approach and related topics

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Ezawa, Zyun F. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	New Jersey [u.a.] World Scientific 2008
Ausgabe:	2. ed.
Schlagworte:	Quanten-Hall-Effekt
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	XXXIV, 706 S. graph. Darst.
ISBN:	9789812700322 9812700323

Internformat

MARC


LEADER	00000nam a2200000 c 4500
001	BV023286265
003	DE-604
005	20111115
007	t
008	080502s2008 d\|\|\| \|\|\|\| 00\|\|\| eng d
020			\|a 9789812700322 \|9 978-981-270-032-2
020			\|a 9812700323 \|9 981-270-032-3
035			\|a (OCoLC)255922048
035			\|a (DE-599)BVBBV023286265
040			\|a DE-604 \|b ger \|e rakwb
041	0		\|a eng
049			\|a DE-355 \|a DE-20 \|a DE-384 \|a DE-11 \|a DE-188
082	0		\|a 537.6226
084			\|a UP 5110 \|0 (DE-625)146414: \|2 rvk
100	1		\|a Ezawa, Zyun F. \|e Verfasser \|0 (DE-588)1034893866 \|4 aut
245	1	0	\|a Quantum hall effects \|b field theoretical approach and related topics \|c Zyun F. Ezawa
250			\|a 2. ed.
264		1	\|a New Jersey [u.a.] \|b World Scientific \|c 2008
300			\|a XXXIV, 706 S. \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b n \|2 rdamedia
338			\|b nc \|2 rdacarrier
650	0	7	\|a Quanten-Hall-Effekt \|0 (DE-588)4124013-3 \|2 gnd \|9 rswk-swf
689	0	0	\|a Quanten-Hall-Effekt \|0 (DE-588)4124013-3 \|D s
689	0		\|5 DE-604
856	4	2	\|m Digitalisierung UB Regensburg \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016470962&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
999			\|a oai:aleph.bib-bvb.de:BVB01-016470962

Datensatz im Suchindex

_version_	1804137607297236992
adam_text	Contents Preface vii Part. I Quantum Field Theory 1 1. Quantum Mechanics 3 1.1 Hubert Spaces ............................................. 3 1.2 Canonical Formalism ....................................... 4 1.3 Creation and Annihilation Operators ......................... 6 1.4 Uncertainty Principle ....................................... 10 1.5 Coherent States and von Neumann Lattice .................... 11 1.6 Squeezed Coherent State .................................... 14 1.7 Particle Number and Phase ................................. 16 1.8 Macroscopic Coherence ..................................... 18 2. Quantum Field Theory 20 2.1 One-Body Hamiltonian ..................................... 20 2.2 Many-Body Hamiltonian ................................... 21 2.3 Boson Field Operators ...................................... 23 2.4 Quantum Field Theory ..................................... 25 2.5 Fermion Field Operators .................................... 27 2.6 Electrons Interacting with Electromagnetic Field ............... 29 3. Canonical Quantization 31 3.1 Relativistic Particles and Waves .............................. 31 3.2 Schrödinger Field .......................................... 32 3.3 Real Klein-Gordon Field .................................... 37 3.4 Complex Klein-Gordon Field ................................ 42 CONTENTS 3.5 Nöther Currents........................................... 44 4. Spontaneous Symmetry Breaking 47 4.1 Ferromagnets ............................................. 47 4.2 Real Klein-Gordon Field .................................... 51 4.3 Complex Klein-Gordon Field ................................ 55 4.4 Sigma Model .............................................. 56 4.5 Schrödinger Field .......................................... 58 4.6 Superfluidity .............................................. 62 4.7 Goldstone Theorem ........................................ 64 5. Electromagnetic Field 67 5.1 Maxwell Equations ........................................ 67 5.2 Canonical Quantization .................................... 70 5.3 Interaction with Matter Field ................................ 77 5.4 Anderson-Higgs Mechanism ................................ 79 5.5 Massive Vector Field ....................................... 81 5.6 Superconductivity ......................................... 83 5.7 Aharonov-Bohm Effect ..................................... 89 6. Dirac Field 94 6.1 Dirac Equation ............................................ 94 6.2 Plane Wave Solutions ...................................... 97 6.3 Canonical Quantization .................................... 99 6.4 Interaction with Electromagnetic Field ........................ 103 6.5 Weyl Field (Massless Dirac Field) ............................ 105 6.6 Dirac Electrons in Magnetic Field ............................ 108 7. Topological Solitons 113 7.1 Topological Sectors ........................................ 113 7.2 Classical Fields ............................................ 115 7.3 Solitary Waves, Kinks and Solitons........................... 117 7.4 Sine-Gordon Solitons....................................... 119 7.5 Vortex Solitons............................................ 123 7.6 Homotopy Classes ......................................... 127 7.7 O(3) Skyrmions ............................................ 132 7.8 CP^ 1 Skyrmions .......................................... 138 8. Anyons 144 8.1 Spin and Statistics ......................................... 144 8.2 Fractional Statistics ........................................ 148 8.3 Quantum Mechanics ....................................... 150 CONTENTS 8.4 Chern-Simons Gauge Theory ................................ 153 8.5 Anyon Field Operators ..................................... 157 Part. II Monolayer Quantum Hall Systems 161 9. Overview of Monolayer QH Systems 163 10. Landau Quantization 177 10.1 Planar Electrons ........................................... 177 10.2 Cyclotron Motion .......................................... 181 10.3 Symmetric Gauge .......................................... 187 10.4 Landau Gauge ............................................ 190 10.5 von Neumann Lattice ...................................... 193 10.6 Electrons in Nth Landau Level ............................... 195 10.7 Hall Current .............................................. 199 11. Quantum Hall Effects 204 11.1 Incompressibility .......................................... 204 11.2 Integer Quantum Hall Effects ............................... 205 11.3 Fractional Quantum Hall Effects ............................. 207 11.4 Quasiparticles ............................................. 210 11.5 Hall Plateaux .............................................. 213 12. Quasiparticles and Activation Energy 215 12.1 Impurity Potentials ........................................ 215 12.2 Gap Energies .............................................. 216 12.3 Dispersion Relation ........................................ 219 12.4 Thermal Activation ........................................ 222 13. Field Theory of Composite Particles 227 13.1 Composite Particles ........................................ 227 13.2 Statistical Transmutation .................................... 230 13.3 Effective Magnetic Field .................................... 233 13.4 Dressed Composite Particles ................................ 235 13.5 Composite Particles in Lowest Landau Level .................. 239 13.6 Composite Fermions in Lowest Landau Level ................. 242 14. Composite Bosons and Semiclassical Analysis 246 14.1 Ground State and Laughlin Wave Function .................... 246 CONTENTS 14.2 Perturbative Excitations.................................... 248 14.3 Vortex Excitations .......................................... 250 14.4 Field Theory of Vortex Solitons.............................. 255 14.5 Haldane-Halperin Hierarchy ................................ 258 15. Quantum Hall Ferromagnets 261 15.1 Spin Coherence ............................................ 261 15.2 Spin Degree of Freedom .................................... 263 15.3 Composite Bosons and Spin-Charge Separation ................ 265 15.4 Spin Field, Sigma Field and CP1 Field ........................ 268 15.5 Effective Hamiitonian ...................................... 271 16. Spin Textures 274 16.1 Spin Excitations ........................................... 274 16.2 Factorizable Skyrmions ..................................... 277 16.3 Skyrmion Excitation Energy ................................. 284 16.4 Experimental Evidence ..................................... 287 17. Hierarchy of Fractional QH States 291 17.1 Jain Hierarchy ............................................. 291 17.2 Landau Levels of Composite Fermions ....................... 294 17.3 Beyond Principal Sequences ................................. 296 17.4 Spin Polarization .......................................... 298 17.5 Gap Energies .............................................. 301 18. Edge Effects 307 18.1 Edge Currents and Bulk Currents ............................ 307 18.2 Shot Noises of Fractional Charges ............................ 308 18.3 Chiral Edge Excitations ..................................... 311 18.4 Chiral Tomonaga-Luttinger Liquid ........................... 312 18.5 Electrodynamics on Edge ................................... 316 18.6 Edge Tunneling and Sine-Gordon Solitons.................... 320 19. Stripes and Bubbles in Higher Landau Levels 325 19.1 Higher Landau Levels ...................................... 325 19.2 Haldane s Pseudopotentials ................................. 327 19.3 Effective Coulomb Interactions .............................. 328 19.4 Density Matrix Renormalization Group Method ............... 331 19.5 Stripes, Bubbles and Wigner Crystal .......................... 332 20. Quantum Hall Effects in Graphene 335 20.1 Unconventional QH Effects ................................. 335 CONTENTS 20.2 Graphene and Dirac Electrons ............................... 338 20.3 Dirac Hamiltonian and Supersymmetry...................... 343 20.4 Effective Coulomb Interactions .............................. 346 20.5 Excitonic Condensation ..................................... 352 20.6 Valley Polarization ......................................... 355 20.7 Multilayer Graphene Systems............................... 360 20.8 Berry Phase and Index Theorem............................. 365 Part. III Bilayer Quantum Hall Systems 367 21. Overview of Bilayer QH Systems 369 22. SU(2) Pseudospin Structure 383 22.1 Bilayer Planar Electrons .................................... 383 22.2 Pseudospins.............................................. 385 22.3 Tunneling Interaction ...................................... 387 22.4 unbalanced Configuration .................................. 388 22.5 Capacitance Energy ........................................ 392 22.6 Compound States .......................................... 393 22.7 Charge-Transferable States .................................. 394 23. Bilayer-Locked States 400 23.1 Composite-Boson Field ..................................... 400 23.2 Wave Functions ........................................... 404 23.3 Ground State .............................................. 405 23.4 Vortex Excitations .......................................... 406 24. Interlayer Coherence 409 24.1 Pseudospin Ferromagnet ................................... 409 24.2 Effective Hamiltonian ...................................... 413 24.3 Pseudospin Waves ......................................... 415 24.4 Anomalous Bilayer QH Currents ............................ 417 24.5 Pseudospin Texture ........................................ 424 25. SU(4) Quantum Hall Ferromagnets 428 25.1 SU(4) Isospin Structure ..................................... 428 25.2 SU(4) Isospin Fields ........................................ 431 25.3 SU(4) Isospin Waves ....................................... 433 25.4 SU(4) Isospin Textures ...................................... 436 CONTENTS 25.5 Excitation Energy of SU(4) Skyrmions ........................ 440 25.6 Activation Energy Anomaly ................................. 446 26. Bilayer Quantum Hall Systems at v = 2 454 26.1 Spin Phase, Ppin Phase and Canted Phase ..................... 454 26.2 Ground-State Energy ....................................... 457 26.3 Ground-State Structure ..................................... 460 26.4 Phase Diagrams ........................................... 463 26.5 Experimental Data ......................................... 466 26.6 SU(4) Breaking and Grassmannian Fields ..................... 471 26.7 Grassmannian G^z Solitons................................. 475 26.8 Genuine Bilayer versus Two-Monolayer Systems ............... 479 26.9 Experimental Indication of Biskyrmions ...................... 482 27. Bilayer Quantum-Hall Junction 485 27.1 Josephson-Like Phenomena ................................. 485 27.2 Parallel Magnetic Field ..................................... 487 27.3 Effective Hamiltonian ...................................... 493 27.4 Commensurate-Incommensurate Phase Transition ............. 495 27.5 Soliton Lattice ............................................. 499 27.6 Anomalous Diagonal Resistivity ............................. 508 27.7 Plasmon Excitations ........................................ 514 27.8 Josephson-Like Effects ...................................... 516 Part. IV Microscopic Theory 521 28. Overview of Microscopic Theory 523 29. Noncommutative Geometry 534 29.1 Noncommutative Coordinate ............................... 534 29.2 Weyl Operator and Symbol ................................. 535 29.3 Magnetic Translation ....................................... 541 29.4 Density Operators ......................................... 543 29.5 SU(N)-Extended W„ Algebra ............................... 549 29.6 Classical Fields ............................................ 552 29.7 Topological Charge Density ................................. 557 29.8 Кас -Moody Algebra on Edges ............................... 559 30. Landau Level Projection 562 CONTENTS 30.1 Projected Coulomb Interactions .............................. 562 30.2 Monolayer QH System..................................... 565 30.3 Electron-Hole Pair Excitations ............................... 569 30.4 Electron Excitation and Hole Excitation ....................... 570 30.5 Bilayer System without Spin (v = 1).......................... 573 30.6 Bilayer System with Spin (v = 1)............................. 575 30.7 Bilayer System with Spins (v = 2)............................ 578 31. Noncommutative Solitons 584 31.1 Topological Charge and Electric Charge ...................... 584 31.2 Microscopic Skyrmion States ................................ 585 31.3 Noncommutative CP1 Skyrmion ............................. 589 31.4 Hole and Skyrmion ........................................ 592 31.5 Skyrmion Wave Functions .................................. 593 31.6 Hardcore Interaction ....................................... 595 31.7 Coulomb Interaction ....................................... 600 31.8 SU(4) Skyrmions ........................................... 605 32. Exchange Interactions and Effective Theory 607 32.1 Exchange Hamiltonian ..................................... 607 32.2 Decomposition Formula .................................... 612 32.3 Spontaneous Symmetry Breaking ............................ 615 32.4 Classical Equations of Motion ............................... 616 32.5 Four-Layer Condenser Model ............................... 618 32.6 Derivative Expansion and Effective Theory ................... 622 32.7 Noncommutative CP^ 1 Model ............................. 627 32.8 Equations of Motion and Hall Currents ....................... 631 32.9 Hall Currents in Pseudospin QH Ferromagnet ................. 634 Appendices 643 A Energy Scales ............................................. 643 В Hausdorff Formulas ....................................... 645 С Group SU(2) and Pauli Matrices ............................. 647 D Groups SU(N) and SU(2N) .................................. 647 E Cauchy-Riemann Equations ................................. 650 F Green Function ............................................ 651 G Bogoliubov Transformation ................................. 652 H Energy-Momentum Tensor .................................. 654 I Exchange Interaction ....................................... 655 J Mermin-Wagner Theorem .................................. 659 K Lorentz Transformation ..................................... 663 L One-Dimensional Soliton Solutions .......................... 666 CONTENTS M Field-Theoretical Vortex Operators ........................... 669 N Bosonization in One-Dimensional Space ...................... 672 О Coulomb Energy Formulas .................................. 677 Ρ W«, Algebra ............................................... 679 References 681 Index 699
adam_txt	Contents Preface vii Part. I Quantum Field Theory 1 1. Quantum Mechanics 3 1.1 Hubert Spaces . 3 1.2 Canonical Formalism . 4 1.3 Creation and Annihilation Operators . 6 1.4 Uncertainty Principle . 10 1.5 Coherent States and von Neumann Lattice . 11 1.6 Squeezed Coherent State . 14 1.7 Particle Number and Phase . 16 1.8 Macroscopic Coherence . 18 2. Quantum Field Theory 20 2.1 One-Body Hamiltonian . 20 2.2 Many-Body Hamiltonian . 21 2.3 Boson Field Operators . 23 2.4 Quantum Field Theory . 25 2.5 Fermion Field Operators . 27 2.6 Electrons Interacting with Electromagnetic Field . 29 3. Canonical Quantization 31 3.1 Relativistic Particles and Waves . 31 3.2 Schrödinger Field . 32 3.3 Real Klein-Gordon Field . 37 3.4 Complex Klein-Gordon Field . 42 CONTENTS 3.5 Nöther Currents. 44 4. Spontaneous Symmetry Breaking 47 4.1 Ferromagnets . 47 4.2 Real Klein-Gordon Field . 51 4.3 Complex Klein-Gordon Field . 55 4.4 Sigma Model . 56 4.5 Schrödinger Field . 58 4.6 Superfluidity . 62 4.7 Goldstone Theorem . 64 5. Electromagnetic Field 67 5.1 Maxwell Equations . 67 5.2 Canonical Quantization . 70 5.3 Interaction with Matter Field . 77 5.4 Anderson-Higgs Mechanism . 79 5.5 Massive Vector Field . 81 5.6 Superconductivity . 83 5.7 Aharonov-Bohm Effect . 89 6. Dirac Field 94 6.1 Dirac Equation . 94 6.2 Plane Wave Solutions . 97 6.3 Canonical Quantization . 99 6.4 Interaction with Electromagnetic Field . 103 6.5 Weyl Field (Massless Dirac Field) . 105 6.6 Dirac Electrons in Magnetic Field . 108 7. Topological Solitons 113 7.1 Topological Sectors . 113 7.2 Classical Fields . 115 7.3 Solitary Waves, Kinks and Solitons. 117 7.4 Sine-Gordon Solitons. 119 7.5 Vortex Solitons. 123 7.6 Homotopy Classes . 127 7.7 O(3) Skyrmions . 132 7.8 CP^"1 Skyrmions . 138 8. Anyons 144 8.1 Spin and Statistics . 144 8.2 Fractional Statistics . 148 8.3 Quantum Mechanics . 150 CONTENTS 8.4 Chern-Simons Gauge Theory . 153 8.5 Anyon Field Operators . 157 Part. II Monolayer Quantum Hall Systems 161 9. Overview of Monolayer QH Systems 163 10. Landau Quantization 177 10.1 Planar Electrons . 177 10.2 Cyclotron Motion . 181 10.3 Symmetric Gauge . 187 10.4 Landau Gauge . 190 10.5 von Neumann Lattice . 193 10.6 Electrons in Nth Landau Level . 195 10.7 Hall Current . 199 11. Quantum Hall Effects 204 11.1 Incompressibility . 204 11.2 Integer Quantum Hall Effects . 205 11.3 Fractional Quantum Hall Effects . 207 11.4 Quasiparticles . 210 11.5 Hall Plateaux . 213 12. Quasiparticles and Activation Energy 215 12.1 Impurity Potentials . 215 12.2 Gap Energies . 216 12.3 Dispersion Relation . 219 12.4 Thermal Activation . 222 13. Field Theory of Composite Particles 227 13.1 Composite Particles . 227 13.2 Statistical Transmutation . 230 13.3 Effective Magnetic Field . 233 13.4 Dressed Composite Particles . 235 13.5 Composite Particles in Lowest Landau Level . 239 13.6 Composite Fermions in Lowest Landau Level . 242 14. Composite Bosons and Semiclassical Analysis 246 14.1 Ground State and Laughlin Wave Function . 246 CONTENTS 14.2 Perturbative Excitations. 248 14.3 Vortex Excitations . 250 14.4 Field Theory of Vortex Solitons. 255 14.5 Haldane-Halperin Hierarchy . 258 15. Quantum Hall Ferromagnets 261 15.1 Spin Coherence . 261 15.2 Spin Degree of Freedom . 263 15.3 Composite Bosons and Spin-Charge Separation . 265 15.4 Spin Field, Sigma Field and CP1 Field . 268 15.5 Effective Hamiitonian . 271 16. Spin Textures 274 16.1 Spin Excitations . 274 16.2 Factorizable Skyrmions . 277 16.3 Skyrmion Excitation Energy . 284 16.4 Experimental Evidence . 287 17. Hierarchy of Fractional QH States 291 17.1 Jain Hierarchy . 291 17.2 Landau Levels of Composite Fermions . 294 17.3 Beyond Principal Sequences . 296 17.4 Spin Polarization . 298 17.5 Gap Energies . 301 18. Edge Effects 307 18.1 Edge Currents and Bulk Currents . 307 18.2 Shot Noises of Fractional Charges . 308 18.3 Chiral Edge Excitations . 311 18.4 Chiral Tomonaga-Luttinger Liquid . 312 18.5 Electrodynamics on Edge . 316 18.6 Edge Tunneling and Sine-Gordon Solitons. 320 19. Stripes and Bubbles in Higher Landau Levels 325 19.1 Higher Landau Levels . 325 19.2 Haldane's Pseudopotentials . 327 19.3 Effective Coulomb Interactions . 328 19.4 Density Matrix Renormalization Group Method . 331 19.5 Stripes, Bubbles and Wigner Crystal . 332 20. Quantum Hall Effects in Graphene 335 20.1 Unconventional QH Effects . 335 CONTENTS 20.2 Graphene and Dirac Electrons . 338 20.3 Dirac Hamiltonian and Supersymmetry. 343 20.4 Effective Coulomb Interactions . 346 20.5 Excitonic Condensation . 352 20.6 Valley Polarization . 355 20.7 Multilayer Graphene Systems. 360 20.8 Berry Phase and Index Theorem. 365 Part. III Bilayer Quantum Hall Systems 367 21. Overview of Bilayer QH Systems 369 22. SU(2) Pseudospin Structure 383 22.1 Bilayer Planar Electrons . 383 22.2 Pseudospins. 385 22.3 Tunneling Interaction . 387 22.4 unbalanced Configuration . 388 22.5 Capacitance Energy . 392 22.6 Compound States . 393 22.7 Charge-Transferable States . 394 23. Bilayer-Locked States 400 23.1 Composite-Boson Field . 400 23.2 Wave Functions . 404 23.3 Ground State . 405 23.4 Vortex Excitations . 406 24. Interlayer Coherence 409 24.1 Pseudospin Ferromagnet . 409 24.2 Effective Hamiltonian . 413 24.3 Pseudospin Waves . 415 24.4 Anomalous Bilayer QH Currents . 417 24.5 Pseudospin Texture . 424 25. SU(4) Quantum Hall Ferromagnets 428 25.1 SU(4) Isospin Structure . 428 25.2 SU(4) Isospin Fields . 431 25.3 SU(4) Isospin Waves . 433 25.4 SU(4) Isospin Textures . 436 CONTENTS 25.5 Excitation Energy of SU(4) Skyrmions . 440 25.6 Activation Energy Anomaly . 446 26. Bilayer Quantum Hall Systems at v = 2 454 26.1 Spin Phase, Ppin Phase and Canted Phase . 454 26.2 Ground-State Energy . 457 26.3 Ground-State Structure . 460 26.4 Phase Diagrams . 463 26.5 Experimental Data . 466 26.6 SU(4) Breaking and Grassmannian Fields . 471 26.7 Grassmannian G^z Solitons. 475 26.8 Genuine Bilayer versus Two-Monolayer Systems . 479 26.9 Experimental Indication of Biskyrmions . 482 27. Bilayer Quantum-Hall Junction 485 27.1 Josephson-Like Phenomena . 485 27.2 Parallel Magnetic Field . 487 27.3 Effective Hamiltonian . 493 27.4 Commensurate-Incommensurate Phase Transition . 495 27.5 Soliton Lattice . 499 27.6 Anomalous Diagonal Resistivity . 508 27.7 Plasmon Excitations . 514 27.8 Josephson-Like Effects . 516 Part. IV Microscopic Theory 521 28. Overview of Microscopic Theory 523 29. Noncommutative Geometry 534 29.1 Noncommutative Coordinate . 534 29.2 Weyl Operator and Symbol . 535 29.3 Magnetic Translation . 541 29.4 Density Operators . 543 29.5 SU(N)-Extended W„ Algebra . 549 29.6 Classical Fields . 552 29.7 Topological Charge Density . 557 29.8 Кас -Moody Algebra on Edges . 559 30. Landau Level Projection 562 CONTENTS 30.1 Projected Coulomb Interactions . 562 30.2 Monolayer QH System. 565 30.3 Electron-Hole Pair Excitations . 569 30.4 Electron Excitation and Hole Excitation . 570 30.5 Bilayer System without Spin (v = 1). 573 30.6 Bilayer System with Spin (v = 1). 575 30.7 Bilayer System with Spins (v = 2). 578 31. Noncommutative Solitons 584 31.1 Topological Charge and Electric Charge . 584 31.2 Microscopic Skyrmion States . 585 31.3 Noncommutative CP1 Skyrmion . 589 31.4 Hole and Skyrmion . 592 31.5 Skyrmion Wave Functions . 593 31.6 Hardcore Interaction . 595 31.7 Coulomb Interaction . 600 31.8 SU(4) Skyrmions . 605 32. Exchange Interactions and Effective Theory 607 32.1 Exchange Hamiltonian . 607 32.2 Decomposition Formula . 612 32.3 Spontaneous Symmetry Breaking . 615 32.4 Classical Equations of Motion . 616 32.5 Four-Layer Condenser Model . 618 32.6 Derivative Expansion and Effective Theory . 622 32.7 Noncommutative CP^"1 Model . 627 32.8 Equations of Motion and Hall Currents . 631 32.9 Hall Currents in Pseudospin QH Ferromagnet . 634 Appendices 643 A Energy Scales . 643 В Hausdorff Formulas . 645 С Group SU(2) and Pauli Matrices . 647 D Groups SU(N) and SU(2N) . 647 E Cauchy-Riemann Equations . 650 F Green Function . 651 G Bogoliubov Transformation . 652 H Energy-Momentum Tensor . 654 I Exchange Interaction . 655 J Mermin-Wagner Theorem . 659 K Lorentz Transformation . 663 L One-Dimensional Soliton Solutions . 666 CONTENTS M Field-Theoretical Vortex Operators . 669 N Bosonization in One-Dimensional Space . 672 О Coulomb Energy Formulas . 677 Ρ W«, Algebra . 679 References 681 Index 699
any_adam_object	1
any_adam_object_boolean	1
author	Ezawa, Zyun F.
author_GND	(DE-588)1034893866
author_facet	Ezawa, Zyun F.
author_role	aut
author_sort	Ezawa, Zyun F.
author_variant	z f e zf zfe
building	Verbundindex
bvnumber	BV023286265
classification_rvk	UP 5110
ctrlnum	(OCoLC)255922048 (DE-599)BVBBV023286265
dewey-full	537.6226
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	537 - Electricity and electronics
dewey-raw	537.6226
dewey-search	537.6226
dewey-sort	3537.6226
dewey-tens	530 - Physics
discipline	Physik
discipline_str_mv	Physik
edition	2. ed.
format	Book
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01350nam a2200349 c 4500</leader><controlfield tag="001">BV023286265</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20111115 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">080502s2008 d\|\|\| \|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812700322</subfield><subfield code="9">978-981-270-032-2</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812700323</subfield><subfield code="9">981-270-032-3</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)255922048</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV023286265</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">537.6226</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UP 5110</subfield><subfield code="0">(DE-625)146414:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ezawa, Zyun F.</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1034893866</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Quantum hall effects</subfield><subfield code="b">field theoretical approach and related topics</subfield><subfield code="c">Zyun F. Ezawa</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">2. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">New Jersey [u.a.]</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2008</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XXXIV, 706 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Quanten-Hall-Effekt</subfield><subfield code="0">(DE-588)4124013-3</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Quanten-Hall-Effekt</subfield><subfield code="0">(DE-588)4124013-3</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016470962&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016470962</subfield></datafield></record></collection>
id	DE-604.BV023286265
illustrated	Illustrated
index_date	2024-07-02T20:41:39Z
indexdate	2024-07-09T21:14:59Z
institution	BVB
isbn	9789812700322 9812700323
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-016470962
oclc_num	255922048
open_access_boolean
owner	DE-355 DE-BY-UBR DE-20 DE-384 DE-11 DE-188
owner_facet	DE-355 DE-BY-UBR DE-20 DE-384 DE-11 DE-188
physical	XXXIV, 706 S. graph. Darst.
publishDate	2008
publishDateSearch	2008
publishDateSort	2008
publisher	World Scientific
record_format	marc
spelling	Ezawa, Zyun F. Verfasser (DE-588)1034893866 aut Quantum hall effects field theoretical approach and related topics Zyun F. Ezawa 2. ed. New Jersey [u.a.] World Scientific 2008 XXXIV, 706 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quanten-Hall-Effekt (DE-588)4124013-3 gnd rswk-swf Quanten-Hall-Effekt (DE-588)4124013-3 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016470962&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Ezawa, Zyun F. Quantum hall effects field theoretical approach and related topics Quanten-Hall-Effekt (DE-588)4124013-3 gnd
subject_GND	(DE-588)4124013-3
title	Quantum hall effects field theoretical approach and related topics
title_auth	Quantum hall effects field theoretical approach and related topics
title_exact_search	Quantum hall effects field theoretical approach and related topics
title_exact_search_txtP	Quantum hall effects field theoretical approach and related topics
title_full	Quantum hall effects field theoretical approach and related topics Zyun F. Ezawa
title_fullStr	Quantum hall effects field theoretical approach and related topics Zyun F. Ezawa
title_full_unstemmed	Quantum hall effects field theoretical approach and related topics Zyun F. Ezawa
title_short	Quantum hall effects
title_sort	quantum hall effects field theoretical approach and related topics
title_sub	field theoretical approach and related topics
topic	Quanten-Hall-Effekt (DE-588)4124013-3 gnd
topic_facet	Quanten-Hall-Effekt
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016470962&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
work_keys_str_mv	AT ezawazyunf quantumhalleffectsfieldtheoreticalapproachandrelatedtopics

Verfügbarkeit

Es ist kein Print-Exemplar vorhanden.

Fernleihe Bestellen Achtung: Nicht im THWS-Bestand! Inhaltsverzeichnis

MARC

Datensatz im Suchindex

Es ist kein Print-Exemplar vorhanden.

Ähnliche Einträge