Holdings: Theory of electron transport in semiconductors

Theory of electron transport in semiconductors: a pathway from elementary physics to nonequilibrium green functions

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Bibliographic Details
Main Author:	Jacoboni, Carlo (Author)
Format:	Book
Language:	English
Published:	Berlin [u.a.] Springer 2010
Series:	Springer series in solid-state sciences 165
Subjects:	Halbleiter Elektronentransport
Online Access:	Inhaltstext Inhaltsverzeichnis
Item Description:	Literaturangaben
Physical Description:	XXVI, 588 S. Ill., graph. Darst. 24 cm
ISBN:	9783642105852

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Record in the Search Index

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adam_text	CONTENTS PART I BASIC CONCEPTS IN SEMICONDUCTOR PHYSICS 1 SURVEY OF CLASSICAL PHYSICS 3 1.1 NEWTON DYNAMICS 3 1.2 WORK AND ENERGY 4 1.3 HAMILTONIAN FORMULATION OF DYNAMICS 6 1.4 CANONICAL TRANSFORMATIONS 7 1.5 SMALL OSCILLATIONS 8 1.6 MAXWELL EQUATIONS 10 1.7 ELECTROMAGNETIC POTENTIALS AND GAUGE TRANSFORMATIONS 11 1.8 HAMILTONIAN OF A CHARGED PARTICLE IN AN ELECTROMAGNETIC FIELD 13 2 FUNDAMENTALS OF QUANTUM MECHANICS 15 2.1 THE FIRST POSTULATES 16 2.2 EQUATIONS OF MOTION 18 2.2.1 PICTURES AND REPRESENTATIONS 18 2.2.2 EVOLUTION OPERATOR AND ITS EQUATION OF MOTION 19 2.2.3 EQUATION OF MOTION IN SCHROEDINGER AND HEISENBERG PICTURES 20 2.2.4 INTERACTION PICTURE 20 2.3 HEISENBERG UNCERTAINTY RELATIONS 21 2.4 HOW TO DEAL WITH A GENERAL QUANTUM-MECHANICAL PROBLEM IN A SYSTEM WITH A CONSTANT HAMILTONIAN 22 2.5 THE {Q} REPRESENTATION: WAVE MECHANICS 23 2.6 IDENTICAL PARTICLES AND PAULI EXCLUSION PRINCIPLE 25 3 FUNDAMENTALS OF STATISTICAL PHYSICS 27 3.1 INTRODUCTION 27 3.2 LIOUVILLE THEOREM 28 3.3 THE FUNDAMENTAL HYPOTHESES OF STATISTICAL MECHANICS 30 3.4 MAIN DEFINITIONS AND RESULTS OF STATISTICAL MECHANICS 31 BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1000032175 DIGITALISIERT DURCH X CONTENTS 3.5 THERMAL BATH 34 3.6 THE THREE FUNDAMENTAL STATISTICAL ENSEMBLES 34 3.6.1 MICROCANONICAL ENSEMBLE 35 3.6.2 CANONICAL ENSEMBLE 35 3.6.3 GRAND CANONICAL ENSEMBLE 36 3.7 EQUILIBRIUM PARTICLE DISTRIBUTIONS IN IDEAL GASES 37 3.7.1 CLASSICAL GAS: MAXWELL-BOLTZMANN DISTRIBUTION 38 3.7.2 BOSE DISTRIBUTIONS 38 3.7.3 FERMI DISTRIBUTION 39 3.7.4 CLASSICAL LIMIT 39 4 CRYSTAL STRUCTURES 41 4.1 CRYSTALS 41 4.2 LATTICES 42 4.3 CRYSTAL BONDING 46 4.4 RECIPROCAL LATTICE 47 5 PHONONS 49 5.1 THE VIBRATING STRING 50 5.2 THE SIMPLEST LINEAR CHAIN 52 5.3 MONATOMIC LINEAR CHAIN WITH MULTIPLE COUPLING 55 5.4 DIATOMIC LINEAR CHAIN 56 5.5 THREE-DIMENSIONAL LATTICE VIBRATIONS 59 5.6 NORMAL COORDINATES AND QUANTIZATION - PHONONS 63 5.7 PHONON MOMENTUM AND CRYSTAL MOMENTUM 66 5.8 EXPERIMENTAL DETERMINATION OF PHONON DISPERSIONS 66 6 BLOCH STATES AND BAND THEORY 69 6.1 BLOCH THEOREM 69 6.2 DENSITY OF STATES 72 6.3 TIGHT-BINDING APPROACH 73 6.4 BAND-STRUCTURE CALCULATIONS 74 6.4.1 LCAO METHOD 75 6.4.2 FC P METHOD 76 6.4.3 PSEUDOPOTENTIAL METHOD 76 6.5 BAND STRUCTURES OF MOST IMPORTANT SEMICONDUCTORS 80 6.6 EFFECTIVE-MASS APPROXIMATION 80 6.7 BLOCH WAVEPACKETS 81 6.7. CONTENTS XI 7.3.2 ACCELERATED QUANTUM ELECTRONS IN FREE SPACE 89 7.3.3 ACCELERATED BLOCH STATES 90 7.4 ENVELOPE FUNCTION FOR STEADY STATES 91 7.5 EFFECTIVE-MASS THEOREM FOR A WAVEPACKET IN SLOW-VARYING ELECTRIC AND MAGNETIC FIELDS 95 7.6 TIME-DEPENDENT ENVELOPE FUNCTION 98 7.7 SEMICLASSICAL DYNAMICS 99 SEMICONDUCTORS 103 8.1 FREE DYNAMICS OF BLOCH ELECTRONS 103 8.2 A FULLY OCCUPIED BAND CANNOT CARRY CURRENT 104 8.3 HOLES 105 8.4 INSULATORS, CONDUCTORS, SEMICONDUCTORS 106 8.5 INTRINSIC AND DOPED SEMICONDUCTORS 108 8.5.1 DONORS AND ACCEPTORS 108 8.5.2 N-DOPED AND P-DOPED SEMICONDUCTORS 110 8.6 CHARGE-CARRIER STATISTICS 110 8.6.1 METALS ILL 8.6.2 SEMICONDUCTORS 114 8.7 GENERAL MODELS OF BANDS FOR CUBIC SEMICONDUCTORS 117 8.7.1 DIFFERENT TYPES OF EFFECTIVE MASSES 120 8.7.2 HERRING-VOGT TRANSFORMATION 122 8.7.3 NONPARABOLICITY 123 PART II SEMICLASSICAL TRANSPORT IN BULK SEMICONDUCTORS 9 ELECTRONIC INTERACTIONS 127 9.1 CLASSIFICATION 127 9.2 FUNDAMENTALS OF SCATTERING - CRYSTAL-MOMENTUM CONSERVATION 129 9.3 ELECTRON-PHONON SCATTERING RATES - DEFORMATION POTENTIAL . 132 9.3.1 ELECTRON INTRAVALLEY SCATTERING BY ACOUSTIC PHONONS . 133 9.3.2 ELECTRON INTRAVALLEY SCATTERING BY OPTICAL PHONONS . 140 9.3.3 ELECTRON INTERVALLEY SCATTERING 142 9.3.4 HOLE INTRABAND SCATTERING BY ACOUSTIC PHONONS 143 9.3. XII CONTENTS 9.7 ALLOY SCATTERING 158 9.8 CARRIER-CARRIER INTERACTION 159 9.9 RELATIVE IMPORTANCE OF THE DIFFERENT SCATTERING MECHANISMS . 160 10 BOLTZMANN EQUATION 163 10.1 THE DISTRIBUTION FUNCTION 163 10.1.1 MEAN QUANTITIES 164 10.2 ELEMENTARY DERIVATION OF THE BOLTZMANN EQUATION 165 10.3 THE COLLISION INTEGRAL - DETAILED BALANCE 167 10.4 MOMENT METHOD 168 10.4.1 ZERO-ORDER MOMENT: CONTINUITY EQUATION 169 10.4.2 FIRST-ORDER MOMENT 171 10.4.3 DRIFT-DIFFUSION EQUATION 173 10.4.4 HIGHER-ORDER MOMENTS: HYDRODYNAMIC EQUATIONS 176 10.5 CHAMBERS' INTEGRAL EQUATION 177 10.5.1 PATH VARIABLES 177 10.5.2 CHAMBERS' INTEGRAL EQUATION 179 11 LINEAR TRANSPORT 181 11.1 LINEARIZATION OF BOLTZMANN EQUATION 181 11.2 RELAXATION-TIME APPROXIMATION 183 11.3 LINEAR TRANSPORT PROPERTIES IN A "SIMPLE SEMICONDUCTOR" . 184 11.3.1 OHMIC MOBILITY 184 11.3.2 MATTHIESSEN RULE 187 11.3.3 MAGNETOTRANSPORT 188 11.3.4 HALL EFFECT 192 11.4 HIGH-MAGNETIC-FIELD EFFECTS 197 11.5 EVALUATION OF THE MOMENTUM RELAXATION TIMES 198 11.5.1 RELAXATION TIME FOR VELOCITY-RANDOMIZING COLLISIONS . 198 11.5.2 RELAXATION TIME FOR ELASTIC COLLISIONS 199 11.6 MOBILITIES 201 11.6.1 ACOUSTIC-PHONON SCATTERING, DEFORMATION POTENTIAL, ELASTIC 201 11.6.2 OPTICAL-PHONON SCATTERING, DEFORMATION POTENTIAL . 202 11.6. CONTENTS XIII 13 NONLINEAR TRANSPORT 219 13.1 HOT ELECTRONS 220 13.1.1 THE WARM ELECTRON REGION 224 13.2 ELECTRON-ELECTRON COLLISIONS AND THE HEATED AND DRIFTED MAXWELL DISTRIBUTION 225 13.3 ANISOTROPY OF TRANSPORT COEFFICIENTS 225 13.4 NEGATIVE DIFFERENTIAL MOBILITY AND GUNN EFFECT 227 13.5 HIGH-FIELD DIFFUSIVITY 229 13.5.1 INTERVALLEY DIFFUSION 230 13.6 TRANSIENT TRANSPORT 233 13.7 HOT PHONONS 235 13.8 ULTRAFAST SPECTROSCOPY 235 14 MONTE CARLO SIMULATION OF BULK ELECTRON TRANSPORT 237 14.1 THE MONTE CARLO METHOD 237 14.2 DIRECT MONTE CARLO SIMULATION 239 14.2.1 A TYPICAL MONTE CARLO PROGRAM FOR HOMOGENEOUS, STATIONARY TRANSPORT 240 14.2.2 TIME- AND SPACE-DEPENDENT PHENOMENA - ENSEMBLE MC 245 14.2.3 DIFFUSION 247 14.2.4 OHMIC MOBILITY 248 14.2.5 ELECTRON-ELECTRON INTERACTION AND DEGENERATE STATISTICS 249 14.2.6 IMPACT IONIZATION 251 14.2.7 VARIANCE-REDUCING TECHNIQUES 251 14.2.8 FULL-BAND MONTE CARLO 252 14.3 FORMAL MONTE CARLO SOLUTION OF THE BE - WEIGHTED MONTE CARLO 254 14.3.1 MONTE CARLO EVALUATION OF SUMS AND INTEGRALS 254 14.3.2 THE INTEGRAL BOLTZMANN EQUATION WITH APPROXIMATE TOTAL SCATTERING RATE 257 14.3.3 THE NEUMANN EXPANSION 258 14.3.4 SAMPLING 260 15 BULK TRANSPORT PROPERTIES OF MAIN SEMICONDUCTORS 26 XIV CONTENTS PART III QUANTUM TRANSPORT IN BULK SEMICONDUCTORS 16 QUANTUM TRANSPORT IN HOMOGENEOUS SYSTEMS 285 16.1 INTRODUCTION TO QUANTUM TRANSPORT 285 16.1.1 SEMICLASSICAL TRANSPORT AND QUANTUM PHYSICS 285 16.1.2 FROM REVERSIBLE DYNAMICS TO IRREVERSIBLE BOLTZMANN EQUATION 286 16.1.3 COHERENCE, DEPHASING, AND ENTANGLEMENT 289 16.1.4 WHEN IS QUANTUM TRANSPORT NECESSARY? 290 16.2 THE DENSITY MATRIX 293 16.3 REDUCED DENSITY MATRIX 296 16.4 KUBO FORMULA 297 16.5 THE PATH-INTEGRAL APPROACH 301 17 THE WIGNER-FUNCTION APPROACH TO QUANTUM TRANSPORT . 305 17.1 INTRODUCTION 305 17.2 DEFINITION AND MAIN PROPERTIES 306 17.2.1 WEYL-WIGNER TRANSFORMATION 306 17.2.2 TRANSFORMATION BETWEEN THE MATRIX ELEMENTS OF AN OPERATOR AND ITS WEYL-WIGNER TRANSFORM 307 17.2.3 DEFINITION OF THE WIGNER FUNCTION 308 17.2.4 MAIN PROPERTIES 309 17.3 COHERENT EVOLUTION OF THE WIGNER FUNCTION 311 17.4 DYNAMICAL EQUATIONS OF THE WIGNER FUNCTION 312 17.4.1 MOYAL EXPANSION 315 17.5 ELECTRON-PHONON INTERACTION 316 17.6 WIGNER PATHS AND MC SIMULATION 320 17.6.1 INTEGRAL EQUATION 320 17.6.2 NEUMANN EXPANSION AND WIGNER PATHS 322 17.6.3 MONTE CARLO SIMULATION 324 17.7 TWO-TIME WIGNER FUNCTION 327 17.8 MANY-PARTICLE WIGNER FUNCTION 328 PART IV TRANSPORT IN SEMICONDUCTOR STRUCTURES 18 INHOMOGENEOUS AND OPEN SYSTEMS: ELECTRONIC DEVICES . CONTENTS XV 18.3.3 SOLAR CELLS 344 18.3.4 LIGHT-EMITTING DIODES 345 18.4 THE BIPOLAR JUNCTION TRANSISTOR 347 18.5 METAL-SEMICONDUCTOR JUNCTIONS, SCHOTTKY BARRIER DIODE 349 18.6 FIELD-EFFECT TRANSISTORS 351 18.7 DEVICE SIMULATION 355 18.7.1 DRIFT-DIFFUSION MODELS 356 18.7.2 HYDRODYNAMIC MODELS 359 18.7.3 MONTE CARLO SIMULATIONS 360 19 LOW-DIMENSIONAL STRUCTURES 363 19.1 EPITAXIAL HETEROSTRUCTURES 363 19.2 QUANTUM WELLS 366 19.2.1 ELECTRON STATES 366 19.2.2 TRANSPORT 370 19.2.3 MULTIPLE QUANTUM WELLS 376 19.3 QUANTUM WIRES 376 19.4 QUANTUM DOTS 379 19.4.1 TRANSPORT: COULOMB BLOCKADE 380 19.5 SUPERLATTICES 382 19.5.1 MINIBANDS 382 19.5.2 TRANSPORT: BLOCH OSCILLATIONS 384 19.5.3 WANNIER-STARK LADDER 385 19.5.4 NEGATIVE DIFFERENTIAL CONDUCTIVITY 386 19.6 APPLICATIONS 386 20 CARBON NANOTUBES 389 20.1 INTRODUCTION 389 20.2 STRUCTURE 389 20.3 ELECTRON STATES: BANDS 393 20.4 ELECTRON TRANSPORT 396 21 COHERENT TRANSPORT IN MESOSCOPIC STRUCTURES 401 21.1 LANDAUER-BUETTIKER THEORY OF TRANSPORT 401 21.2 POINT CONTACTS 408 21.3 QUANTUM HALL EFFECT 409 21.4 AHARONOV-BOHM OSCILLATIONS 417 21.5 LOCALIZATION 420 21.6 WEAK LOCALIZATION - QUANTUM CORRECTIONS 423 21.7 UNIVERSAL CONDUCTION FLUCTUATIONS 424 21. XVI CONTENTS PART V QUANTUM TRANSPORT WITH NONEQUILIBRIUM GREEN FUNCTIONS 23 SECOND-QUANTIZATION FORMALISM 441 23.1 MANY-PARTICLE WAVEFUNCTIONS 441 23.1.1 EXPANSION IN SYMMETRIC WAVEFUNCTIONS 443 23.2 VECTOR SPACE OF MANY-PARTICLE STATES 444 23.2.1 CREATION AND ANNIHILATION OPERATORS 445 23.2.2 FIELD OPERATORS 446 23.3 FROM FIRST TO SECOND QUANTIZATION 448 23.4 DYNAMICS 449 23.5 COMMUTATIONS AT DIFFERENT TIMES FOR NON-INTERACTING PARTICLES 450 23.6 FIELD OPERATORS IN MOMENTUM AND ENERGY SPACE 451 24 INTRODUCTION TO GREEN FUNCTIONS 453 24.1 GFS FROM DIFFERENTIAL EQUATIONS TO MANY-BODY THEORY 453 24.1.1 GF OF SCHROEDINGER EQUATION 453 24.1.2 THE EVOLUTION OPERATOR AS GREENIAN 455 24.1.3 GREEN FUNCTIONS FOR A ONE-PARTICLE SYSTEM 456 24.1.4 SINGLE-PARTICLE GREEN FUNCTIONS IN MANY-PARTICLE SYSTEMS 458 24.2 GREEN FUNCTIONS IN MOMENTUM AND ENERGY SPACE 460 24.3 EQUILIBRIUM GFS FOR NONLNTERACTING PARTICLES 461 24.4 GREEN FUNCTIONS AND MEAN QUANTITIES 465 24.5 SPECTRAL DENSITY 466 24.5.1 RELATION BETWEEN G AND G AND THE SPECTRAL DENSITY AT EQUILIBRIUM 466 25 WICK*MATSUBARA THEOREMS 469 25.1 TIME-ORDERED PRODUCTS, NORMAL PRODUCTS, AND CONTRACTIONS. 469 25.2 WICK THEOREM 471 25.2.1 LEMMA : 471 25.2. CONTENTS XVII 26.4 PARTICLE-PARTICLE INTERACTION 485 26.5 ELECTRON-PHONON INTERACTION 486 26.6 SELF-ENERGY AND DYSON EQUATION 488 26.6.1 MATRIX FORMULATION OF G AND OF DYSON EQUATION 489 26.6.2 DYSON EQUATIONS FOR SEPARATE GFS 491 26.6.3 (FE, UJ) REPRESENTATION 493 26.7 ELECTRON-PHONON SELF-ENERGY 496 27 NONEQUILIBRIUM GREEN FUNCTIONS APPLIED TO TRANSPORT: QUANTUM BOLTZMANN EQUATION 497 27.1 THE EQUATIONS FOR G (R, T,R', T') AND G R (R, T,R',T') 498 27.2 THE EQUATIONS FOR G (R,T,K,U}) AND G T (R,T,K,UI) 500 27.3 GRADIENT-EXPANSION APPROXIMATION 502 27.4 EQUATIONS FOR LINEAR RESPONSE IN HOMOGENEOUS SYSTEMS IN STEADY STATE 508 28 NONEQUILIBRIUM GREEN FUNCTIONS APPLIED TO TRANSPORT: MESOSCOPIC SYSTEMS 513 28.1 GFS FOR THE TIME-INDEPENDENT SCHROEDINGER EQUATION 514 28.2 GF FOR A PERFECT, INFINITE, TWO-DIMENSIONAL WIRE 516 28.3 FROM GREEN FUNCTION TO S MATRIX 517 28.4 FINITE-DIFFERENCE SCHEME FOR THE CONDUCTOR GF 519 28.5 THE EFFECT OF THE LEADS 521 28.6 CONDUCTANCE 525 PART VI APPENDICES A
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series	Springer series in solid-state sciences
series2	Springer series in solid-state sciences
spelling	Jacoboni, Carlo Verfasser aut Theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions Carlo Jacoboni Berlin [u.a.] Springer 2010 XXVI, 588 S. Ill., graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Springer series in solid-state sciences 165 Literaturangaben Halbleiter (DE-588)4022993-2 gnd rswk-swf Elektronentransport (DE-588)4014344-2 gnd rswk-swf Halbleiter (DE-588)4022993-2 s Elektronentransport (DE-588)4014344-2 s DE-604 Springer series in solid-state sciences 165 (DE-604)BV000016582 165 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=3423612&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020662819&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Jacoboni, Carlo Theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions Springer series in solid-state sciences Halbleiter (DE-588)4022993-2 gnd Elektronentransport (DE-588)4014344-2 gnd
subject_GND	(DE-588)4022993-2 (DE-588)4014344-2
title	Theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions
title_auth	Theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions
title_exact_search	Theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions
title_full	Theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions Carlo Jacoboni
title_fullStr	Theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions Carlo Jacoboni
title_full_unstemmed	Theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions Carlo Jacoboni
title_short	Theory of electron transport in semiconductors
title_sort	theory of electron transport in semiconductors a pathway from elementary physics to nonequilibrium green functions
title_sub	a pathway from elementary physics to nonequilibrium green functions
topic	Halbleiter (DE-588)4022993-2 gnd Elektronentransport (DE-588)4014344-2 gnd
topic_facet	Halbleiter Elektronentransport
url	http://deposit.dnb.de/cgi-bin/dokserv?id=3423612&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020662819&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000016582
work_keys_str_mv	AT jacobonicarlo theoryofelectrontransportinsemiconductorsapathwayfromelementaryphysicstononequilibriumgreenfunctions

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