Magnetism in the solid state: an introduction ; with 7 tables
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2006
|
Ausgabe: | Corr. 2. printing |
Schriftenreihe: | Springer series in solid state sciences
134 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XI, 229 S. Ill., graph. Darst. |
ISBN: | 3540293841 9783540293842 |
Internformat
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264 | 1 | |a Berlin [u.a.] |b Springer |c 2006 | |
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Datensatz im Suchindex
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adam_text | PETER MOHN MAGNETISM IN THE SOLID STATE AN INTRODUCTION CORRECTED SECOND
PRINTING WITH 72 FIGURES AND 7 TABLES 4Y SPRINGER CONTENTS 1. A
HISTORICAL INTRODUCTION 1 2. CONSEQUENCES OF FERMI STATISTICS 13 2.1
QUANTUM STATISTICS OF FERMIONS 13 2.2 FREE ENERGY OF THE FERMI GAS 16 3.
PARAMAGNETISM 25 4. ENERGY BANDS IN THE CRYSTAL 31 5. EXPERIMENTAL BASIS
OF FERROMAGNETISM 37 5.1 NICKEL ALLOYS 42 5.2 IRON ALLOYS 43 5.3
PALLADIUM ALLOYS 44 5.4 IRON-NICKEL ALLOYS 44 5.5 EFFECTS OF STRONG
MAGNETIC FIELDS 44 5.6 EFFECTS OF HIGH PRESSURE 46 5.7 EFFECTS OF FINITE
TEMPERATURE 47 5.8 SUSCEPTIBILITY ABOVE T C 47 5.8.1 SUSCEPTIBILITY OF
CLASSICAL SPINS 48 5.9 CRITICAL EXPONENTS 50 5.10 NEUTRON DIFFRACTION
51 5.11 FURTHER EXPERIMENTAL METHODS 52 6. WEISS MOLECULAR FIELD MODEL
53 6.1 RHODES-WOHLFARTH PLOT 59 7. HEISENBERG MODEL 63 7.1 MAGNON
OPERATORS 63 7.2 HEISENBERG HAMILTONIAN IN MAGNON VARIABLES 66 7.3
MAGNON DISPERSION RELATION 67 7.3.1 SPECIFIC HEAT OF MAGNONS 69 7.3.2
ORDERING TEMPERATURE 70 7.4 APPROXIMATIONS FOR THE HEISENBERG MODEL 71
7.4.1 ISING MODEL 71 X CONTENTS 7.4.2 XY MODEL 72 7.4.3 MEAN FIELD
SOLUTIONS OF THE HEISENBERG MODEL 73 8. ITINERANT ELECTRONS AT 0 K 75
8.1 PAULI SUSCEPTIBILITY OF THE ITINERANT ELECTRONS 80 8.2
SUSCEPTIBILITY OF THE INTERACTING ITINERANT ELECTRONS 80 8.3 NON-LINEAR
EFFECTS 83 8.4 EFFECTS OF HIGH FIELDS AT 0 K 83 8.4.1 NON-MAGNETIC LIMIT
84 8.4.2 STRONG FERROMAGNETS 85 8.4.3 WEAK FERROMAGNETS 85 8.4.4 BCC
IRON AND HEP COBALT 85 8.4.5 EXTREMELY HIGH FIELDS 87 8.4.6
METAMAGNETISM 87 8.5 SUSCEPTIBILITY OF PARAMAGNETIC ALLOYS 89 9. BAND
GAP THEORY OF STRONG FERROMAGNETISM 93 9.1 MAGNETISM OF ALLOYS 97 10.
MAGNETISM AND THE CRYSTAL STRUCTURE * COVALENT MAGNETISM 101 10.1
CRYSTAL STRUCTURE OF MN, FE, CO, AND NI 103 10.2 COVALENT MAGNETISM 105
10.3 COVALENT POLARIZATION ILL 11. MAGNETIC IMPURITIES IN AN ELECTRON
GAS 117 11.1 IMPURITY POTENTIAL IN THE JELLIUM 117 11.2 STRONG
PERTURBATIONS IN THE JELLIUM 119 11.3 LAYER AND LINE DEFECTS 119 11.4
MAGNETIC IMPURITIES AND OSCILLATIONS OF THE MAGNETIZATION . . . 120 12.
ITINERANT ELECTRONS AT T 0: A HISTORICAL SURVEY 123 12.1 EXCITATIONS
AT LOW TEMPERATURES 127 12.1.1 STRONGLY FERROMAGNETIC SYSTEMS 127 12.1.2
WEAKLY FERROMAGNETIC SYSTEMS 129 12.2 STONER THEORY FOR A RECTANGULAR
BAND 130 12.3 WEAK EXCITATIONS WITH C 1 132 13. HUBBARD MODEL 135
13.1 BEYOND HARTREE-FOCK 137 14. LANDAU THEORY FOR THE STONER MODEL 139
14.1 GENERAL CONSIDERATIONS 139 14.2 APPLICATION TO THE STONER MODEL 141
15. COUPLING BETWEEN ITINERANT AND LOCALIZED MOMENTS 147 CONTENTS XI 16.
ORIGIN OF THE MOLECULAR FIELD 151 16.1 HEITLER-LONDON THEORY FOR THE
EXCHANGE FIELD 151 16.1.1 MAGNETISM OF A SPIN CLUSTER 156 16.1.2
SPINWAVES FOR LOCALIZED ELECTRONS 158 17. EXCHANGE AND CORRELATION IN
METALS 161 17.1 FREE ELECTRON GAS 161 17.2 TIGHTLY BOUND ELECTRONS 163
18. SPIN FLUCTUATIONS 169 18.1 FLUCTUATIONS OF A THERMODYNAMICAL
VARIABLE 170 18.2 FLUCTUATIONS OF THE MAGNETIC MOMENT 171 18.3 SPECIFIC
HEAT OF THE SPIN FLUCTUATIONS 177 18.4 MAGNETO-VOLUME COUPLING 177 18.5
APPLICATIONS OF THE SPIN FLUCTUATION MODEL 179 18.6 COMPARING THE
SPIN-FLUCTUATION AND THE STONER-MODEL 182 19. SINGLE PARTICLE
EXCITATIONS VERSUS SPIN WAVES 185 20. LANDAU-GINZBURG MODEL FOR SPIN
FLUCTUATIONS 19 1 21. CONCLUSION AND LOOKOUT 199 A. APPENDICES 203 A.
CONVEXITY PROPERTY OF THE FREE ENERGY 203 B. DERIVATION OF THE
COEFFICIENT A IN (3.17) 203 C. QUENCHING OF THE ORBITAL MOMENTUM 206 D.
PROPERTIES OF CLASSICAL SPINS 208 E. DERIVATION OF THE CONSTANT C IN
(8.24) 210 F. ORNSTEIN-ZERNICKE EXTENSION 211 G.
BOGOLIUBOV-PEIERLS-FEYNMAN INEQUALITY 213 H. THE FACTOR 2 IN EQUATION
(7.27) 214 I. HUND S RULES 216 J. POLYNOMIAL COEFFICIENTS IN (18.12) 218
K. CONVERSION BETWEEN MAGNETIC UNITS 219 REFERENCES 221 INDEX 227
|
adam_txt |
PETER MOHN MAGNETISM IN THE SOLID STATE AN INTRODUCTION CORRECTED SECOND
PRINTING WITH 72 FIGURES AND 7 TABLES 4Y SPRINGER CONTENTS 1. A
HISTORICAL INTRODUCTION 1 2. CONSEQUENCES OF FERMI STATISTICS 13 2.1
QUANTUM STATISTICS OF FERMIONS 13 2.2 FREE ENERGY OF THE FERMI GAS 16 3.
PARAMAGNETISM 25 4. ENERGY BANDS IN THE CRYSTAL 31 5. EXPERIMENTAL BASIS
OF FERROMAGNETISM 37 5.1 NICKEL ALLOYS 42 5.2 IRON ALLOYS 43 5.3
PALLADIUM ALLOYS 44 5.4 IRON-NICKEL ALLOYS 44 5.5 EFFECTS OF STRONG
MAGNETIC FIELDS 44 5.6 EFFECTS OF HIGH PRESSURE 46 5.7 EFFECTS OF FINITE
TEMPERATURE 47 5.8 SUSCEPTIBILITY ABOVE T C 47 5.8.1 SUSCEPTIBILITY OF
"CLASSICAL SPINS" 48 5.9 CRITICAL EXPONENTS 50 5.10 NEUTRON DIFFRACTION
51 5.11 FURTHER EXPERIMENTAL METHODS 52 6. WEISS MOLECULAR FIELD MODEL
53 6.1 RHODES-WOHLFARTH PLOT 59 7. HEISENBERG MODEL 63 7.1 MAGNON
OPERATORS 63 7.2 HEISENBERG HAMILTONIAN IN MAGNON VARIABLES 66 7.3
MAGNON DISPERSION RELATION 67 7.3.1 SPECIFIC HEAT OF MAGNONS 69 7.3.2
ORDERING TEMPERATURE 70 7.4 APPROXIMATIONS FOR THE HEISENBERG MODEL 71
7.4.1 ISING MODEL 71 X CONTENTS 7.4.2 XY MODEL 72 7.4.3 MEAN FIELD
SOLUTIONS OF THE HEISENBERG MODEL 73 8. ITINERANT ELECTRONS AT 0 K 75
8.1 PAULI SUSCEPTIBILITY OF THE ITINERANT ELECTRONS 80 8.2
SUSCEPTIBILITY OF THE INTERACTING ITINERANT ELECTRONS 80 8.3 NON-LINEAR
EFFECTS 83 8.4 EFFECTS OF HIGH FIELDS AT 0 K 83 8.4.1 NON-MAGNETIC LIMIT
84 8.4.2 STRONG FERROMAGNETS 85 8.4.3 WEAK FERROMAGNETS 85 8.4.4 BCC
IRON AND HEP COBALT 85 8.4.5 EXTREMELY HIGH FIELDS 87 8.4.6
METAMAGNETISM 87 8.5 SUSCEPTIBILITY OF PARAMAGNETIC ALLOYS 89 9. BAND
GAP THEORY OF STRONG FERROMAGNETISM 93 9.1 MAGNETISM OF ALLOYS 97 10.
MAGNETISM AND THE CRYSTAL STRUCTURE * COVALENT MAGNETISM 101 10.1
CRYSTAL STRUCTURE OF MN, FE, CO, AND NI 103 10.2 COVALENT MAGNETISM 105
10.3 COVALENT POLARIZATION ILL 11. MAGNETIC IMPURITIES IN AN ELECTRON
GAS 117 11.1 IMPURITY POTENTIAL IN THE JELLIUM 117 11.2 STRONG
PERTURBATIONS IN THE JELLIUM 119 11.3 LAYER AND LINE DEFECTS 119 11.4
MAGNETIC IMPURITIES AND OSCILLATIONS OF THE MAGNETIZATION . . . 120 12.
ITINERANT ELECTRONS AT T 0: A HISTORICAL SURVEY 123 12.1 EXCITATIONS
AT LOW TEMPERATURES 127 12.1.1 STRONGLY FERROMAGNETIC SYSTEMS 127 12.1.2
WEAKLY FERROMAGNETIC SYSTEMS 129 12.2 STONER THEORY FOR A RECTANGULAR
BAND 130 12.3 WEAK EXCITATIONS WITH C 1 132 13. HUBBARD MODEL 135
13.1 BEYOND HARTREE-FOCK 137 14. LANDAU THEORY FOR THE STONER MODEL 139
14.1 GENERAL CONSIDERATIONS 139 14.2 APPLICATION TO THE STONER MODEL 141
15. COUPLING BETWEEN ITINERANT AND LOCALIZED MOMENTS 147 CONTENTS XI 16.
ORIGIN OF THE MOLECULAR FIELD 151 16.1 HEITLER-LONDON THEORY FOR THE
EXCHANGE FIELD 151 16.1.1 MAGNETISM OF A SPIN CLUSTER 156 16.1.2
SPINWAVES FOR LOCALIZED ELECTRONS 158 17. EXCHANGE AND CORRELATION IN
METALS 161 17.1 FREE ELECTRON GAS 161 17.2 TIGHTLY BOUND ELECTRONS 163
18. SPIN FLUCTUATIONS 169 18.1 FLUCTUATIONS OF A THERMODYNAMICAL
VARIABLE 170 18.2 FLUCTUATIONS OF THE MAGNETIC MOMENT 171 18.3 SPECIFIC
HEAT OF THE SPIN FLUCTUATIONS 177 18.4 MAGNETO-VOLUME COUPLING 177 18.5
APPLICATIONS OF THE SPIN FLUCTUATION MODEL 179 18.6 COMPARING THE
SPIN-FLUCTUATION AND THE STONER-MODEL 182 19. SINGLE PARTICLE
EXCITATIONS VERSUS SPIN WAVES 185 20. LANDAU-GINZBURG MODEL FOR SPIN
FLUCTUATIONS 19 1 21. CONCLUSION AND LOOKOUT 199 A. APPENDICES 203 A.
CONVEXITY PROPERTY OF THE FREE ENERGY 203 B. DERIVATION OF THE
COEFFICIENT A IN (3.17) 203 C. QUENCHING OF THE ORBITAL MOMENTUM 206 D.
PROPERTIES OF "CLASSICAL" SPINS 208 E. DERIVATION OF THE CONSTANT C IN
(8.24) 210 F. ORNSTEIN-ZERNICKE EXTENSION 211 G.
BOGOLIUBOV-PEIERLS-FEYNMAN INEQUALITY 213 H. THE FACTOR 2 IN EQUATION
(7.27) 214 I. HUND'S RULES 216 J. POLYNOMIAL COEFFICIENTS IN (18.12) 218
K. CONVERSION BETWEEN MAGNETIC UNITS 219 REFERENCES 221 INDEX 227 |
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illustrated | Illustrated |
index_date | 2024-07-02T13:29:45Z |
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institution | BVB |
isbn | 3540293841 9783540293842 |
language | English |
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physical | XI, 229 S. Ill., graph. Darst. |
publishDate | 2006 |
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series | Springer series in solid state sciences |
series2 | Springer series in solid state sciences |
spelling | Mohn, Peter Verfasser aut Magnetism in the solid state an introduction ; with 7 tables Peter Mohn Corr. 2. printing Berlin [u.a.] Springer 2006 XI, 229 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Springer series in solid state sciences 134 Festkörper (DE-588)4016918-2 gnd rswk-swf Magnetismus (DE-588)4037021-5 gnd rswk-swf Festkörper (DE-588)4016918-2 s Magnetismus (DE-588)4037021-5 s DE-604 Springer series in solid state sciences 134 (DE-604)BV000016582 134 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014278814&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Mohn, Peter Magnetism in the solid state an introduction ; with 7 tables Springer series in solid state sciences Festkörper (DE-588)4016918-2 gnd Magnetismus (DE-588)4037021-5 gnd |
subject_GND | (DE-588)4016918-2 (DE-588)4037021-5 |
title | Magnetism in the solid state an introduction ; with 7 tables |
title_auth | Magnetism in the solid state an introduction ; with 7 tables |
title_exact_search | Magnetism in the solid state an introduction ; with 7 tables |
title_exact_search_txtP | Magnetism in the solid state an introduction ; with 7 tables |
title_full | Magnetism in the solid state an introduction ; with 7 tables Peter Mohn |
title_fullStr | Magnetism in the solid state an introduction ; with 7 tables Peter Mohn |
title_full_unstemmed | Magnetism in the solid state an introduction ; with 7 tables Peter Mohn |
title_short | Magnetism in the solid state |
title_sort | magnetism in the solid state an introduction with 7 tables |
title_sub | an introduction ; with 7 tables |
topic | Festkörper (DE-588)4016918-2 gnd Magnetismus (DE-588)4037021-5 gnd |
topic_facet | Festkörper Magnetismus |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014278814&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000016582 |
work_keys_str_mv | AT mohnpeter magnetisminthesolidstateanintroductionwith7tables |