Quantum phases of matter:
"This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description,...
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| Format: | Buch |
| Sprache: | English |
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Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore
Cambridge University Press
[2023]
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| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | "This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts"-- |
| Beschreibung: | xvii, 510 Seiten Illustrationen, Diagramme |
| ISBN: | 9781009212694 |
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| 245 | 1 | 0 | |a Quantum phases of matter |c Subir Sachdev, Harvard University, Massachusetts |
| 264 | 1 | |a Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore |b Cambridge University Press |c [2023] | |
| 300 | |a xvii, 510 Seiten |b Illustrationen, Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
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| 520 | 3 | |a "This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts"-- | |
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Datensatz im Suchindex
| _version_ | 1809946744096555008 |
|---|---|
| adam_text |
Contents page xiii Preface Survey of Experiments 1.1 Metals and Band Insulators 1.2 Mott Insulators 1.3 Ultracold Atoms 1.4 The Heavy-Fermion Intermetallic Compounds 1.5 The Cuprates 1 1 1 4 8 13 14 Parti Background 2 Fermi Liquid Theory 2.1 Free-Electron Gas 2.2 Interacting-Electron Gas 2.3 Specific Heat 2.4 Compressibility 2.5 Dynamic Response Functions 2.6 Green’s Functions and Quasiparticle Lifetime Problem 21 21 22 25 26 27 28 32 3 Dilute Bose Gas 3.1 Bogoliubov Theory 3.2 Off-Diagonal Long-Range Order 3.3 Path Integral Theory Problem 33 33 37 38 40 4 Bardeen—Cooper—Sehrieffer Theory of Superconductivity 4.1 The BCS Wavefunction 4.2 Off-Diagonal Long-Range Order 4.3 Bogoliubov Theory 4.4 The Energy Gap Problems 43 43 45 47 49 52 5 vi Broken Symmetry and Superfluidity 5.1 Ising Model and Surface Tension 5.2 XY Model and Helicity Modulus 53 54 55
Contents vii 5.3 Superconductors and Gauge Invariance 5.4 The London Equation Problems 56 57 58 6 Landau-Ginzburg Theory 6.1 Hubbard-Stratonovich Transformation 6.2 Expansion near Tc 6.3 Effective Classical Theory 6.4 Classical Dynamics 6.5 Magnetic Field Problems 59 59 61 63 64 64 65 7 Vortices in Superfluids and Superconductors 7.1 Neutral Superfluids 7.2 Charged Superfluids 7.3 Flux Quantization 7.4 Vortex Lattices Problems 66 66 69 71 72 73 8 Boson Hubbard Model 8.1 Lattice Hamiltonian 8.2 Mean-Field Theory 8.3 Continuum Quantum Field Theories 8.4 Insulators at Non-Integer Filling Problems 74 75 76 79 83 84 9 Electron Hubbard Model 9.1 The Superexchange Interaction 9.2 Insulating Antiferromagnets and Hard-Core Bosons 9.3 The tJ Model and d-Wave Pairing 9.4 Paramagnon Theory of Antiferromagnetic Metals Problems 87 89 91 96 100 110 10 Relativistic Scalar Field: Diagrams 10.1 Gaussian Integrals 10.2 Expansion for Susceptibility Problems 114 115 118 121 11 Relativistic Scalar Field: Correlation Functions 11.1 Spectral Representation 11.2 Correlations across the Quantum Critical Point Problem 122 122 127 132 12 Fermions and Bosons in One Spatial Dimension 12.1 Non-interacting Fermions 133 134
Contents viii 12.2 Interacting Fermions 12.3 Bosons in One Dimension Problems 143 146 149 Part II Fractionalization and emergent gauge fields 1 13 Introduction to Gapped Spin Liquids 13.1 The RVB State 13.2 Topological Properties 13.3 Emergent Gauge Fields 13.4 Excitations of the 2շ Spin Liquid 153 155 155 156 159 14 Fractionalization in the XT Model in 2+1 Dimensions 14.1 The Conventional XY Model 14.2 The Extended XY Model Problems 163 164 165 175 15 Theory of Gapped Z2 Spin Liquids 15.1 Parton Formulation 15.2 Mean-Field Theory 15.3 Excitation Spectrum 15.4 Dynamics of Excitations Problem 176 177 180 183 188 194 16 Z2 Gauge Theory 16.1 From the Large-V Path Integral to a Z2 Gauge Theory 16.2 Hamiltonian of the Z2 Gauge Theory 16.3 Topological Order at Small g 16.4 Large-g Limit 16.5 Visons and Anyon Condensation 16.6 Models of Rydberg Atoms Problems 196 196 199 203 206 209 214 219 17 Chern—Simons Gauge Theories 17.1 Chern֊Simons Theory on a Torus 17.2 Quasiparticles and Their Statistics 17.3 Coupling to an External Gauge Field 17.4 Physics at the Edge Problems 221 222 225 226 227 231 Partili Band topology 18 Berry Phases and Chern Numbers 18.1 Berry Phases 18.2 Berry Phase of a Spin 235 235 237
Contents ix 18.3 Berry Curvature of Bloch Bands 18.4 Chern Insulators Problem 239 243 244 19 Integer Quantum Hall States 19.1 Non-relativistic Particles 19.2 Relativistic Particles (Graphene) 19.3 Edge states 19.4 Anomaly Inflow Arguments Problem 246 246 249 250 254 255 20 Topological Insulators and Superconductors 20.1 Su-Schrieffer-Heeger Model 20.2 Kane-Mele Insulators 20.3 Odd-Parity Superconductors 256 257 261 262 Part IV Fractionalization and emergent gauge fields II 21 Parton Theories 21.1 Spin Fractionalization into Bosonic Partons 21.2 Spin Fractionalization into Fermionic Partons 21.3 Quantum Hall States 21.4 Correlated Metals 269 269 270 272 272 22 The Chiral Spin Liquid 22.1 Mean-Field theory 22.2 Gauge Fluctuations 22.3 Edge States 22.4 SU(2) Gauge Theory 274 275 276 277 278 23 Non-Abelian Ising Anyons 23.1 Visons and Majorana Zero Modes 23.2 Non-Abelian Statistics 23.3 Connections to Odd-Parity Superconductors 280 281 284 286 24 Fractional Quantum Hall States 24.1 Partons 24.2 Edge Theory of the Fractional Quantum Hall States 24.3 Bulk Gauge Theory of the Fractional Quantum Hall States 24.4 Moore-Read State 287 287 290 292 294 25 Dualities of XY Models and U ( 1 ) Gauge Theories 25.1 XT model in D = 1 25.2 Vortices in the XY Model in D = 2 25.3 U( 1) Gauge Theory with Monopoles in D = 3 295 295 297 304
Contents x 25.4 Particle-Vortex Duality of the XY model in D = 3 Problems 306 311 26 Applications of Dualities to Spin Liquids 26.1 17(1) Spin Liquids 26.2 Gapped Ջշ Spin Liquids 312 312 319 27 Boson-Fermion and Fermion-Fermion Dualities 27.1 Fermion-Boson Duality I 27.2 Fermion-Boson Duality II 27.3 Fermion-Fermion Duality 27.4 Fractional Quantum Hall Effect: Dirac Composite Fermions 328 328 333 334 337 28 Gapless Spin Liquids 28.1 6/(1) Spin Liquids on the Square Lattice: Bosonic Spinons 28.2 i/(l) Spin Liquids on the Square Lattice: Fermionic Spinons 28.3 Gapless 517(2) Spin Liquids 28.4 Gapless Z2 Spin Liquid on the Square Lattice 340 341 344 344 346 PartV Correlated Metals 29 Kondo Impurity Model 29.1 Resonant-Level Model 29.2 Adding Interactions 29.3 Renormalization Theory 29.4 Large-M Theory 29.5 Bose Kondo Model Problems 351 351 354 355 359 362 366 30 The Heavy Fermi Liquid 30.1 The Kondo Lattice Heavy Fermi Liquid 30.2 The Luttinger Relation 368 369 373 31 The Fractionalized Fermi Liquid 31.1 The FL* State in the Kondo Lattice 31.2 Emergent Gauge Fields and Generalized Luttinger Relations 31.3 Torus Flux Insertion and Generalized Luttinger Relations 31.4 The FL* State in the Single-Band Hubbard Model 381 383 386 388 395 32 Sachdev--Ye-Kitaev Models 32.1 Random Matrix Model: Free Fermions 32.2 Large-V Theory of the SYK Model 32.3 G-Σ Effective Action Problem 406 407 412 425 431
Contents XI 33 Random Quantum Spin Liquids and Spin Glasses 33.1 Classical Ising Spin Glass 33.2 Quantum Rotor Spin Glass 33.3 Random Heisenberg Magnet 432 433 435 441 34 Fermi Surfaces without Quasiparticles 34.1 Onset of Ising Ferromagnetism 34.2 Luttinger Relation 34.3 Fermi Surface Coupled to a Gauge Field 34.4 Pairing Correlations 34.5 Transport 451 452 461 462 463 466 Appendix A Coherent-State Path Integral 469 Appendix В Grassman Path Integral 476 Appendix C From Spin Berry Phases to Background Gauge Charges 481 Appendix D Emergent Z2 Gauge Theories 485 References Index 488 507 |
| adam_txt |
Contents page xiii Preface Survey of Experiments 1.1 Metals and Band Insulators 1.2 Mott Insulators 1.3 Ultracold Atoms 1.4 The Heavy-Fermion Intermetallic Compounds 1.5 The Cuprates 1 1 1 4 8 13 14 Parti Background 2 Fermi Liquid Theory 2.1 Free-Electron Gas 2.2 Interacting-Electron Gas 2.3 Specific Heat 2.4 Compressibility 2.5 Dynamic Response Functions 2.6 Green’s Functions and Quasiparticle Lifetime Problem 21 21 22 25 26 27 28 32 3 Dilute Bose Gas 3.1 Bogoliubov Theory 3.2 Off-Diagonal Long-Range Order 3.3 Path Integral Theory Problem 33 33 37 38 40 4 Bardeen—Cooper—Sehrieffer Theory of Superconductivity 4.1 The BCS Wavefunction 4.2 Off-Diagonal Long-Range Order 4.3 Bogoliubov Theory 4.4 The Energy Gap Problems 43 43 45 47 49 52 5 vi Broken Symmetry and Superfluidity 5.1 Ising Model and Surface Tension 5.2 XY Model and Helicity Modulus 53 54 55
Contents vii 5.3 Superconductors and Gauge Invariance 5.4 The London Equation Problems 56 57 58 6 Landau-Ginzburg Theory 6.1 Hubbard-Stratonovich Transformation 6.2 Expansion near Tc 6.3 Effective Classical Theory 6.4 Classical Dynamics 6.5 Magnetic Field Problems 59 59 61 63 64 64 65 7 Vortices in Superfluids and Superconductors 7.1 Neutral Superfluids 7.2 Charged Superfluids 7.3 Flux Quantization 7.4 Vortex Lattices Problems 66 66 69 71 72 73 8 Boson Hubbard Model 8.1 Lattice Hamiltonian 8.2 Mean-Field Theory 8.3 Continuum Quantum Field Theories 8.4 Insulators at Non-Integer Filling Problems 74 75 76 79 83 84 9 Electron Hubbard Model 9.1 The Superexchange Interaction 9.2 Insulating Antiferromagnets and Hard-Core Bosons 9.3 The tJ Model and d-Wave Pairing 9.4 Paramagnon Theory of Antiferromagnetic Metals Problems 87 89 91 96 100 110 10 Relativistic Scalar Field: Diagrams 10.1 Gaussian Integrals 10.2 Expansion for Susceptibility Problems 114 115 118 121 11 Relativistic Scalar Field: Correlation Functions 11.1 Spectral Representation 11.2 Correlations across the Quantum Critical Point Problem 122 122 127 132 12 Fermions and Bosons in One Spatial Dimension 12.1 Non-interacting Fermions 133 134
Contents viii 12.2 Interacting Fermions 12.3 Bosons in One Dimension Problems 143 146 149 Part II Fractionalization and emergent gauge fields 1 13 Introduction to Gapped Spin Liquids 13.1 The RVB State 13.2 Topological Properties 13.3 Emergent Gauge Fields 13.4 Excitations of the 2շ Spin Liquid 153 155 155 156 159 14 Fractionalization in the XT Model in 2+1 Dimensions 14.1 The Conventional XY Model 14.2 The Extended XY Model Problems 163 164 165 175 15 Theory of Gapped Z2 Spin Liquids 15.1 Parton Formulation 15.2 Mean-Field Theory 15.3 Excitation Spectrum 15.4 Dynamics of Excitations Problem 176 177 180 183 188 194 16 Z2 Gauge Theory 16.1 From the Large-V Path Integral to a Z2 Gauge Theory 16.2 Hamiltonian of the Z2 Gauge Theory 16.3 Topological Order at Small g 16.4 Large-g Limit 16.5 Visons and Anyon Condensation 16.6 Models of Rydberg Atoms Problems 196 196 199 203 206 209 214 219 17 Chern—Simons Gauge Theories 17.1 Chern֊Simons Theory on a Torus 17.2 Quasiparticles and Their Statistics 17.3 Coupling to an External Gauge Field 17.4 Physics at the Edge Problems 221 222 225 226 227 231 Partili Band topology 18 Berry Phases and Chern Numbers 18.1 Berry Phases 18.2 Berry Phase of a Spin 235 235 237
Contents ix 18.3 Berry Curvature of Bloch Bands 18.4 Chern Insulators Problem 239 243 244 19 Integer Quantum Hall States 19.1 Non-relativistic Particles 19.2 Relativistic Particles (Graphene) 19.3 Edge states 19.4 Anomaly Inflow Arguments Problem 246 246 249 250 254 255 20 Topological Insulators and Superconductors 20.1 Su-Schrieffer-Heeger Model 20.2 Kane-Mele Insulators 20.3 Odd-Parity Superconductors 256 257 261 262 Part IV Fractionalization and emergent gauge fields II 21 Parton Theories 21.1 Spin Fractionalization into Bosonic Partons 21.2 Spin Fractionalization into Fermionic Partons 21.3 Quantum Hall States 21.4 Correlated Metals 269 269 270 272 272 22 The Chiral Spin Liquid 22.1 Mean-Field theory 22.2 Gauge Fluctuations 22.3 Edge States 22.4 SU(2) Gauge Theory 274 275 276 277 278 23 Non-Abelian Ising Anyons 23.1 Visons and Majorana Zero Modes 23.2 Non-Abelian Statistics 23.3 Connections to Odd-Parity Superconductors 280 281 284 286 24 Fractional Quantum Hall States 24.1 Partons 24.2 Edge Theory of the Fractional Quantum Hall States 24.3 Bulk Gauge Theory of the Fractional Quantum Hall States 24.4 Moore-Read State 287 287 290 292 294 25 Dualities of XY Models and U ( 1 ) Gauge Theories 25.1 XT model in D = 1 25.2 Vortices in the XY Model in D = 2 25.3 U( 1) Gauge Theory with Monopoles in D = 3 295 295 297 304
Contents x 25.4 Particle-Vortex Duality of the XY model in D = 3 Problems 306 311 26 Applications of Dualities to Spin Liquids 26.1 17(1) Spin Liquids 26.2 Gapped Ջշ Spin Liquids 312 312 319 27 Boson-Fermion and Fermion-Fermion Dualities 27.1 Fermion-Boson Duality I 27.2 Fermion-Boson Duality II 27.3 Fermion-Fermion Duality 27.4 Fractional Quantum Hall Effect: Dirac Composite Fermions 328 328 333 334 337 28 Gapless Spin Liquids 28.1 6/(1) Spin Liquids on the Square Lattice: Bosonic Spinons 28.2 i/(l) Spin Liquids on the Square Lattice: Fermionic Spinons 28.3 Gapless 517(2) Spin Liquids 28.4 Gapless Z2 Spin Liquid on the Square Lattice 340 341 344 344 346 PartV Correlated Metals 29 Kondo Impurity Model 29.1 Resonant-Level Model 29.2 Adding Interactions 29.3 Renormalization Theory 29.4 Large-M Theory 29.5 Bose Kondo Model Problems 351 351 354 355 359 362 366 30 The Heavy Fermi Liquid 30.1 The Kondo Lattice Heavy Fermi Liquid 30.2 The Luttinger Relation 368 369 373 31 The Fractionalized Fermi Liquid 31.1 The FL* State in the Kondo Lattice 31.2 Emergent Gauge Fields and Generalized Luttinger Relations 31.3 Torus Flux Insertion and Generalized Luttinger Relations 31.4 The FL* State in the Single-Band Hubbard Model 381 383 386 388 395 32 Sachdev--Ye-Kitaev Models 32.1 Random Matrix Model: Free Fermions 32.2 Large-V Theory of the SYK Model 32.3 G-Σ Effective Action Problem 406 407 412 425 431
Contents XI 33 Random Quantum Spin Liquids and Spin Glasses 33.1 Classical Ising Spin Glass 33.2 Quantum Rotor Spin Glass 33.3 Random Heisenberg Magnet 432 433 435 441 34 Fermi Surfaces without Quasiparticles 34.1 Onset of Ising Ferromagnetism 34.2 Luttinger Relation 34.3 Fermi Surface Coupled to a Gauge Field 34.4 Pairing Correlations 34.5 Transport 451 452 461 462 463 466 Appendix A Coherent-State Path Integral 469 Appendix В Grassman Path Integral 476 Appendix C From Spin Berry Phases to Background Gauge Charges 481 Appendix D Emergent Z2 Gauge Theories 485 References Index 488 507 |
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| dewey-ones | 530 - Physics |
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| dewey-search | 530.4/1 |
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| dewey-tens | 530 - Physics |
| discipline | Physik |
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| id | DE-604.BV048900025 |
| illustrated | Illustrated |
| index_date | 2024-07-03T21:50:43Z |
| indexdate | 2024-09-12T00:08:43Z |
| institution | BVB |
| isbn | 9781009212694 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-034164451 |
| oclc_num | 1379403028 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-83 DE-20 DE-703 DE-91G DE-BY-TUM DE-188 |
| owner_facet | DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-83 DE-20 DE-703 DE-91G DE-BY-TUM DE-188 |
| physical | xvii, 510 Seiten Illustrationen, Diagramme |
| publishDate | 2023 |
| publishDateSearch | 2023 |
| publishDateSort | 2023 |
| publisher | Cambridge University Press |
| record_format | marc |
| spelling | Sachdev, Subir 1961- Verfasser (DE-588)131508865 aut Quantum phases of matter Subir Sachdev, Harvard University, Massachusetts Cambridge, United Kingdom ; New York, NY, USA ; Port Melbourne, Australia ; New Delhi, India ; Singapore Cambridge University Press [2023] xvii, 510 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier "This modern text describes the remarkable developments in quantum condensed matter physics following the experimental discoveries of quantum Hall effects and high temperature superconductivity in the 1980s. After a review of the phases of matter amenable to an independent particle description, entangled phases of matter are described in an accessible and unified manner. The concepts of fractionalization and emergent gauge fields are introduced using the simplest resonating valence bond insulator with an energy gap, the Z2 spin liquid. Concepts in band topology and the parton method are then combined to obtain a large variety of experimentally relevant gapped states. Correlated metallic states are described, beginning with a discussion of the Kondo effect on magnetic impurities in metals. Metals without quasiparticle excitations are introduced using the Sachdev-Ye-Kitaev model, followed by a discussion of critical Fermi surfaces and strange metals. Numerous end-of-chapter problems expand readers' comprehension and reinforce key concepts"-- Quantenmaterial (DE-588)1199148083 gnd rswk-swf Topologische Phase (DE-588)113303408X gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Kondensierte Materie (DE-588)4132810-3 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantenmaterie (DE-588)119524066X gnd rswk-swf Quantenphasenübergang (DE-588)4793582-0 gnd rswk-swf Topologische Methode (DE-588)4312758-7 gnd rswk-swf Condensed matter / Textbooks Quantenmaterie (DE-588)119524066X s Topologische Methode (DE-588)4312758-7 s Quantentheorie (DE-588)4047992-4 s DE-604 Kondensierte Materie (DE-588)4132810-3 s Quantenmechanik (DE-588)4047989-4 s Quantenmaterial (DE-588)1199148083 s Quantenphasenübergang (DE-588)4793582-0 s Topologische Phase (DE-588)113303408X s Erscheint auch als Online-Ausgabe Sachdev, Subir, - 1961- Quantum phases of matter Cambridge, United Kingdom : Cambridge University Press, 2023 978-1-009-21271-7 Erscheint auch als Online-Ausgabe Sachdev, Subir, - 1961- Quantum phases of matter Cambridge, United Kingdom : Cambridge University Press, 2023 978-1-009-21268-7 Digitalisierung UB Regensburg - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034164451&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Sachdev, Subir 1961- Quantum phases of matter Quantenmaterial (DE-588)1199148083 gnd Topologische Phase (DE-588)113303408X gnd Quantenmechanik (DE-588)4047989-4 gnd Kondensierte Materie (DE-588)4132810-3 gnd Quantentheorie (DE-588)4047992-4 gnd Quantenmaterie (DE-588)119524066X gnd Quantenphasenübergang (DE-588)4793582-0 gnd Topologische Methode (DE-588)4312758-7 gnd |
| subject_GND | (DE-588)1199148083 (DE-588)113303408X (DE-588)4047989-4 (DE-588)4132810-3 (DE-588)4047992-4 (DE-588)119524066X (DE-588)4793582-0 (DE-588)4312758-7 |
| title | Quantum phases of matter |
| title_auth | Quantum phases of matter |
| title_exact_search | Quantum phases of matter |
| title_exact_search_txtP | Quantum phases of matter |
| title_full | Quantum phases of matter Subir Sachdev, Harvard University, Massachusetts |
| title_fullStr | Quantum phases of matter Subir Sachdev, Harvard University, Massachusetts |
| title_full_unstemmed | Quantum phases of matter Subir Sachdev, Harvard University, Massachusetts |
| title_short | Quantum phases of matter |
| title_sort | quantum phases of matter |
| topic | Quantenmaterial (DE-588)1199148083 gnd Topologische Phase (DE-588)113303408X gnd Quantenmechanik (DE-588)4047989-4 gnd Kondensierte Materie (DE-588)4132810-3 gnd Quantentheorie (DE-588)4047992-4 gnd Quantenmaterie (DE-588)119524066X gnd Quantenphasenübergang (DE-588)4793582-0 gnd Topologische Methode (DE-588)4312758-7 gnd |
| topic_facet | Quantenmaterial Topologische Phase Quantenmechanik Kondensierte Materie Quantentheorie Quantenmaterie Quantenphasenübergang Topologische Methode |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034164451&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT sachdevsubir quantumphasesofmatter |