Electrical conduction mechanisms in solids
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Dt. Verl. d. Wiss.
1988
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| Schriftenreihe: | Physikalische Monographien
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| 100 | 1 | |a Hamann, Claus |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Electrical conduction mechanisms in solids |c by Claus Hamann ; Hubert Burghardt ; Thomas Frauenheim |
| 264 | 1 | |a Berlin |b Dt. Verl. d. Wiss. |c 1988 | |
| 300 | |a 290 S. |b 47 graph. Darst. | ||
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| 700 | 1 | |a Burghardt, Hubert |e Verfasser |4 aut | |
| 700 | 1 | |a Frauenheim, Thomas |e Verfasser |4 aut | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-019120979 | |
Datensatz im Suchindex
| _version_ | 1819741490684887040 |
|---|---|
| adam_text | CONTENTS
1. CHARGE CARRIERS 11
1.1. THE PROPERTIES OF THE ELECTRON 11
1.2. THE PROPERTIES OF IONS 12
2. ELECTRONS IN SOLIDS** 13
2.1. TRANSLATIONAL INVARIANEE 14
2.2. FREE-ELECTRON APPROXIMATION 18
2.3. NEARLY-FREE ELECTRON APPROXIMATION 21
2.4. TIGHT BINDING APPROXIMATION 24
2.5. ELECTRONIC STATES INFLUENCED BY A MAGNETIC FIELD 26
2.6. LOCALIZED ELECTRON STATES INDUCED BY DISORDER 29
3. ELECTRON TRANSPORT THEORY** 32
3.1. CRYSTAL ELECTRONS, GROUP VELOCITY, EFFECTIVE MASS 32
3.2. BOLTZMANN EQUATION 34
3.3. RELAXATION TIME APPROXIMATION 36
3.4. TRANSPORT EQUATIONS (B = 0) 38
3.5. TRANSPORT EQUATIONS (B =J= 0) 40
3.6. SCATTERING MECHANISMS 44
3.6.1. DEFORMATION POTENTIAL SCATTERING 45
3.6.2. PIEZOELECTRIC POTENTIAL SCATTERING 46
3.6.3. OPTICAL PHONON SCATTERING 46
3.6.4. INTERVALLEY PHONON SCATTERING 48
3.6.5. NEUTRAL IMPURITY SCATTERING 48
3.6.6. IONIZED IMPURITY SCATTERING 49
3.6.7. SPACE CHARGE SCATTERING 49
3.6.8. ELECTRON-ELECTRON SCATTERING 50
3.7. KUBO FORMALISM OF ELECTRONIC TRANSPORT 50
4.
QUASIPARTICLES
54
4.1. QUASIPARTICLE-CONCEPTION 54
4.2. PHONONS - 54
4.3. POLARONS 56
4.4. PLASMONS 58
*
HTTP://D-NB.INFO/890602239
I
8 CONTENTS
4.5. EXCITONS 59
4.6. POLARITONS 61
4.7. SOLITONS 62
5. CHARGE TRANSPORT IN CONDUCTORS 66
5.1. OHM S LAW 66
5.1.1. CONDUCTIVITY OF METALS 66
5.1.2. HALL EFFECT 69
5.1.3. MAGNETORESISTANCE 70
5.1.4. THERMOELECTRIC POWER 71
5.1.5. BLOCH-GRIINEISEN LAW 71
5.1.6. RESIDUAL RESISTIVITY 77
5.2. CHARACTERISTICS OF TRANSITION METALS 78
5.3. METAL-INSULATOR TRANSITION 80
5.4. SUPERCONDUCTIVITY 82
5.4.1. COOPER PAIRS 82
5.4.2. GROUND STATE OF THE BCS-SUPERCONDUCTOR 83
5.4.3. THE LOWEST EXCITED STATE OF A BCS-SUPERCONDUCTOR 84
5.4.4. THE DENSITY OF STATES OF THE BCS-SUPERCONDUCTOR 85
5.4.5. THE GROUND STATE ENERGY OF THE BCS-SUPERCONDUCTOR AT T 0 K 85
5.4.6. THE ENERGY GAP OF A BCS-SUPERCONDUCTOR AT T 0 K 87
5.4.7. THE TRANSITION TEMPERATURE OF A BCS-SUPERCONDUCTOR 87
5.4.8. CURRENT FLOW THROUGH A SUPERCONDUCTOR 88
5.4.9. SUPERCONDUCTORS OF SECOND TYPE 89
5.4.10. OTHER MECHANISMS OF SUPERCONDUCTIVITY 90
6.
CHARGE TRANSPORT IN LOW-DIMENSIONAL CONDUCTORS
91
6.1. THE TWO-DIMENSIONAL ELECTRON GAS 91
6.1.1. THE SUBBANDS OF THE TWO-DIMENSIONAL ELECTRON GAS 92
6.1.2. THE CONDUCTIVITY OF THE TWO-DIMENSIONAL ELECTRON GAS 94
6.1.3. TWO-DIMENSIONAL HOPPING CONDUCTIVITY 95
6.1.4. THE TWO-DIMENSIONAL ELECTRON GAS IN A MAGNETIC FIELD 96
6.1.5. TRANSVERSE CONDUCTIVITY AND HALL CONDUCTIVITY OF THE
TWO-DIMENSIONAL
ELECTRON GAS 97
6.1.6. QUANTUM HALL EFFECT 98
6.2. QUASI ONE-DIMENSIONAL CONDUCTORS 101
6.2.1. PEIERLS-FROHLICH MODEL - 101
6.2.2. PEIERLS-FROHLICH TRANSITION 104
6.2.2.1. ELECTRON TRANSPORT ABOVE AND BELOW THE PEIERLS TRANSITION 104
6.2.2.2. LANDAU THEORY OF THE PEIERLS-FROHLICH TRANSITION 106
6.2.2.3. DYNAMICS OF THE PEIERLS-FROHLICH SYSTEM 107
6.2.3. CHARGE DENSITY WAVE - FROHLICH CONDUCTIVITY ILL
6.2.4. CHARGE TRANSPORT BY SOLITONS 116
7. CHARGE TRANSPORT IN SEMICONDUCTORS 120
7.1. BAND MODEL 121
7.1.1. BAND STRUCTURE OF INTRINSIC SEMICONDUCTORS 121
7.1.2. BAND STRUCTURE OF EXTRINSIC SEMICONDUCTORS 124
7.2. CHARGE CARRIER CONCENTRATION IN THERMODYNAMIC EQUILIBRIUM 125
7.2.1. ELECTRON AND HOLE CONCENTRATION IN INTRINSIC SEMICONDUCTORS 125
7.2.2. THE ELECTRON CONCENTRATION IN IMPURITY STATES (WITH SINGLE CHARGE
EXOHANGE) 127
CONTENTS 9
7.2.3. SEMICONDUCTOR WITH SINGLY RECHARGABLE DONORS AND ACCEPTORS - THE
COM
PENSATED SEMICONDUCTOR 132
7.3. BASIS EQUATIONS FOR CHARGE TRANSPORT IN SEMICONDUCTORS 134
7.4. STEADY STATE CHARGE TRANSPORT IN HOMOGENEOUS SEMICONDUCTORS 137
7.4.1. BASIC EQUATIONS 137
7.4.2. SPATIALLY INDEPENDENT CHARGE CARRIER DENSITIES - OHMIC CONDUCTION
.... 139
7.4.3. CHARGE CARRIER MOBILITY IN SEMICONDUCTORS 140
7.4.4. THE INFLUENCE OF AN ELECTRIC FIELD ON THE MOBILITY 147
7.4.4.1. ACOUSTICAL PHONON SCATTERING 148
7.4.4.2. NONPOLAR OPTICAL INTERVALLEY PHONON SCATTERING 151
7.4.4.3. POLAR OPTICAL PHONON SCATTERING 152
7.5. PN-JUNCTION 160
7.5.1. PN-JUNCTION IN THERMODYNAMIC EQUILIBRIUM 160
7.5.2. CURRENT FLOW THROUGH A PN-JUNCTION 163
7.6. ELECTRONIC PROPERTIES OF
METAL-INSULATOR-SEMICONDUCTOR(MIS)-STRUCTURES . . 167
7.6.1. STRUCTURE AND OPERATING MODE 167
7.6.2. THE I-U-CHARACTERISTIC OF AN N-CHANNEL ENHANCEMENT TRANSISTOR 169
7.6.3. THE INFLUENCE OF A FIELD DEPENDENT MOBILITY 171
8. CHARGE TRANSPORT IN INSULATORS 173
8.1. IONIC CONDUCTION 173
8.2. INJECTION LIMITED ELECTRONIC CONDUCTION 174
8.2.1* FOWLER-NORDHEIM TUNNELING 174
8.2.2. SCHOTTKY EMISSION 177
8.2.3. FIELD EMISSION AT T 0 K 178
8.2.4. THERMIONIC FIELD EMISSION 180
8.2.5. INTERNAL PHOTOEMISSION 181
8.3. TRANSPORT LIMITED ELECTRONIC CONDUCTIVITY 184
8.3.1. TUNNELING THROUGH THIN FILMS 184
8.3.2. SPACE CHARGE LIMITED CURRENTS 190
8.3.2.1. SPACE CHARGE LIMITED CURRENT IN A VACUUM DIODE 190
8.3.2.2. THE CONCEPTION OF OHMIC CONTACT 191
8.3.2.3. TYPES OF TRAPPING CENTRES 192
8.3.2.4. CHILD S LAW 192
8.3.2.5. INSULATOR WITH OWN CHARGE CARRIERS 193
8.3.2.6. INSULATOR WITH DISCRETE TRAPS 194
8.3.2.7. INSULATOR WITH UNIFORM TRAP DISTRIBUTION 196
8.3.2.8. INSULATOR WITH EXPONENTIAL TRAP DISTRIBUTION 197
8.3.2.9. SPACE CHARGE LIMITATION BY GAUSSIANLY DISTRIBUTED TRAPS 199
8.3.2.10. THE INFLUENCE OF SPATIALLY DISTRIBUTED TRAPS AND MORE THAN ONE
GAUSSIAN TRAP
DISTRIBUTION 201
8.3.2.11. SIMULTANEOUS INJECTION OF ELECTRONS AND HOLES 201
8.3.3. POOLE-FRENKEL EFFECT 206
8.3.4. HOPPING CONDUCTION 209
8.3.4.1. THE ANDERSON LOCALIZATION . . 209
8.3.4.2. THE KUBO-GREENWOOD FORMULA 210
8.3.4.3. EVALUATION OF (T
0
212
8.3.4.4. NEAREST-NEIGHBOUR HOPPING 213
8.3.4.5. VARIABLE RANGE HOPPING 214
8.3.4.6. PHOTON ACTIVATED HOPPING 215
8.4. BREAK DOWN 215
8.4.1. THERMAL BREAK DOWN 216
8.4.2. ELECTRIC BREAK DOWN 217
10 CONTENTS
9.
SELECTED PROBLEMS
219
9.1. CHARGE TRANSPORT IN SUPERIONIC CONDUCTORS 219
9.1.1. SUPERIONIC CONDUCTION - WHAT CONDITIONS ARE NECESSARY? 219
9.1.2. THE SUPERIONIC CONDUCTIVITY 219
9.2. CONDUCTIVITY OF DISCONTINUOUS METAL FILMS 220
9.3. INELASTIC TUNNELING 222
9.4. JOSEPHSON-TUNNELING 226
9.5. CONDUCTION IN COMPOSITE MATERIALS-PERCOLATION 229
9.6. SIZE EFFECTS 232
9.6.1. FUCHS ANALYSIS FOR THIN FILMS 232
9.6.2. SIZE EFFECTS IN SEMICONDUCTORS 234
9.7. BALLISTIC TRANSPORT IN SEMICONDUCTORS 234
10. PHOTOCONDUCTIVITY 236
10.1. THE PHOTOCONDUCTOR CONCEPT 236
10.2. PHOTOCONDUCTOR AT HOMOGENEOUS GENERATION 236
10.3. PHOTOCONDUCTION AT NON-LINEAR RECOMBINATION 238
10.4. PHOTOCONDUCTIVITY AT GENERATION FROM IMPURITIES 240
10.5. PHOTOCONDUCTIVITY UNDER INFLUENCES OF RECOMBINATION CENTRES 242
10.6. PHOTOCONDUCTIVITY UNDER INFLUENCE OF TRAPS 244
10.7. PHOTOCONDUCTIVITY AT INHOMOGENEOUS GENERATION 245
10.8. - DEMBER EFFECT 246
10.9. PN-SOLAR CELL 247
11. AC- AND TRANSIENT MEASUREMENTS 250
11.1. SMALL SIGNAL BEHAVIOUR 250
11.2. FREQUENCY BEHAVIOUR FOR SPACE CHARGE LIMITED CURRENT FLOW 252
11.2.1. BASIC EQUATIONS FOR AC-ANALYSIS 252
11.2.2. THE ADMITTANCE OF A SAMPLE WITH DISCRETE ACCEPTOR TRAPS UNDER
NEGLECTION OF
DIFFUSION CURRENTS 255
11.3. TRANSIENT MEASUREMENTS 264
11.3.1. STARTING EQUATIONS FOR TRANSIENT ANALYSIS 264
11.3.2. EXPERIMENTAL STUDY OF /(^-CHARACTERISTICS 267
11.4. EMISSION CURRENTS FROM TRAPS AT SURFACES 270
11.5. CURRENT-TIME CHARACTERISTICS BY ELECTRON TUNNELING INTO A SINGLE
TRAPPING
LEVEL IN A DIELECTRIC 272
11.6. DISPERSIVE CHARGE TRANSPORT 273
11.6.1. SCHER-MONTROLL MODEL - STOCHASTIC HOPPING 273
11.6.2. DISPERSIVE CHARGE TRANSPORT CONTROLLED BY TRAPS 276
REFERENCES 279
INDEX 284
|
| any_adam_object | 1 |
| author | Hamann, Claus Burghardt, Hubert Frauenheim, Thomas |
| author_facet | Hamann, Claus Burghardt, Hubert Frauenheim, Thomas |
| author_role | aut aut aut |
| author_sort | Hamann, Claus |
| author_variant | c h ch h b hb t f tf |
| building | Verbundindex |
| bvnumber | BV025873771 |
| classification_rvk | UP 5000 |
| ctrlnum | (OCoLC)246886552 (DE-599)BVBBV025873771 |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.416 |
| dewey-search | 530.416 |
| dewey-sort | 3530.416 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV025873771 |
| illustrated | Illustrated |
| indexdate | 2024-12-23T23:22:45Z |
| institution | BVB |
| isbn | 3326003803 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-019120979 |
| oclc_num | 246886552 |
| open_access_boolean | |
| owner | DE-11 |
| owner_facet | DE-11 |
| physical | 290 S. 47 graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| publisher | Dt. Verl. d. Wiss. |
| record_format | marc |
| series2 | Physikalische Monographien |
| spellingShingle | Hamann, Claus Burghardt, Hubert Frauenheim, Thomas Electrical conduction mechanisms in solids Elektrische Leitfähigkeit (DE-588)4014200-0 gnd Festkörper (DE-588)4016918-2 gnd |
| subject_GND | (DE-588)4014200-0 (DE-588)4016918-2 |
| title | Electrical conduction mechanisms in solids |
| title_auth | Electrical conduction mechanisms in solids |
| title_exact_search | Electrical conduction mechanisms in solids |
| title_full | Electrical conduction mechanisms in solids by Claus Hamann ; Hubert Burghardt ; Thomas Frauenheim |
| title_fullStr | Electrical conduction mechanisms in solids by Claus Hamann ; Hubert Burghardt ; Thomas Frauenheim |
| title_full_unstemmed | Electrical conduction mechanisms in solids by Claus Hamann ; Hubert Burghardt ; Thomas Frauenheim |
| title_short | Electrical conduction mechanisms in solids |
| title_sort | electrical conduction mechanisms in solids |
| topic | Elektrische Leitfähigkeit (DE-588)4014200-0 gnd Festkörper (DE-588)4016918-2 gnd |
| topic_facet | Elektrische Leitfähigkeit Festkörper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019120979&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hamannclaus electricalconductionmechanismsinsolids AT burghardthubert electricalconductionmechanismsinsolids AT frauenheimthomas electricalconductionmechanismsinsolids |