Spin fluctuation theory of itinerant electron magnetism:
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2013
|
| Series: | Springer Tracts in Modern Physics
253 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | XI, 181 S. graph. Darst. 235 mm x 155 mm |
| ISBN: | 9783642366659 3642366651 |
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| 245 | 1 | 0 | |a Spin fluctuation theory of itinerant electron magnetism |c Yoshinori Takahashi |
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| 300 | |a XI, 181 S. |b graph. Darst. |c 235 mm x 155 mm | ||
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Record in the Search Index
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| adam_text |
IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 HISTORICAL OVERVIEW 1
1.2 LOCALIZED HEISENBERG MAGNETS 3
1.2.1 MEAN FIELD APPROXIMATION 3
1.2.2 PHASE TRANSITIONS OF HEISENBERG MAGNETS AND SPIN AMPLITUDE
CONSERVATION 6
1.3 BAND THEORETICAL APPROACH 11
1.3.1 HARTREE-FOCK APPROXIMATION 12
1.3.2 FREE ENERGY OF STONER-WOHLFARTH THEORY 13
1.4 MAGNETIC PROPERTIES DERIVED FROM THE SW THEORY 15
1.5 SUMMARY 17
REFERENCES 19
2 FLUCTUATIONS AND MAGNETISM 21
2.1 FLUCTUATIONS 21
2.2 FLUCTUATIONS AND RESPONSES 23
2.2.1 KRAMERS-KRONIG RELATION 26
2.3 SCR SPIN FLUCTUATION THEORY 26
2.3.1 FREE ENERGY OF THE SCR THEORY 27
2.3.2 CURIE-WEISS LAW OF MAGNETIC SUSCEPTIBILITY 31
2.4 DISCONTINUOUS CHANGE OF MAGNETIZATION 33
2.4.1 TEMPERATURE DEPENDENCE OF MAGNETIZATION 33
2.4.2 ORIGIN OF THE DISCONTINUITY 35
2.5 THERMAL AND ZERO-POINT SPIN FLUCTUATION AMPLITUDES 36
2.5.1 SPECTRAL PROPERTIES OF SPIN FLUCTUATION AMPLITUDES 38
2.5.2 THERMAL SPIN FLUCTUATION AMPLITUDE 39
2.5.3 ZERO-POINT SPIN FLUCTUATION AMPLITUDE 41
2.6 SPIN AMPLITUDE CONSERVATION 42
2.6.1 NEUTRON SCATTERING EXPERIMENT ON MNSI 43
2.6.2 THEORETICAL EXPLANATION FOR EXPERIMENTS ON MNSI 46
2.6.3 GIANT MAGNETIC FLUCTUATIONS OBSERVED IN (Y,SC)MN 2 . 47 2.7
SUMMARY 48
REFERENCES 48
VII
HTTP://D-NB.INFO/1030170878
IMAGE 2
VIII CONTENTS
3 EFFECTS OF SPIN FLUCTUATIONS ON MAGNETIC PROPERTIES 49
3.1 BASIC IDEA OF THE SPIN FLUCTUATION THEORY 49
3.2 MAGNETIC ISOTHERM IN THE GROUND STATE 50
3.2.1 MAGNETIC ISOTHERM FOR FERROMAGNETS 51
3.2.2 MAGNETIC ISOTHERM FOR EXCHANGE ENHANCED PARAMAGNETS 54
3.3 MAGNETIC PROPERTIES IN THE PARAMAGNETIC PHASE 55
3.3.1 TEMPERATURE DEPENDENCE OF MAGNETIC SUSCEPTIBILITY. . 55 3.3.2
MAGNETIC SUSCEPTIBILITY IN THE LOW TEMPERATURE LIMIT 56
3.3.3 MAGNETIC SUSCEPTIBILITY AROUND THE CRITICAL POINT 57
3.3.4 CURIE-WEISS LAW OF MAGNETIC SUSCEPTIBILITY 58
3.3.5 MAGNETIC ISOTHERM IN THE PARAMAGNETIC PHASE 61
3.4 CRITICAL MAGNETIC BEHAVIORS 64
3.4.1 CRITICAL MAGNETIC ISOTHERM 64
3.4.2 SCALING LAW RELATIONS AMONG CRITICAL INDEXES 68
3.5 CROSSOVER BEHAVIOR AROUND THE QUANTUM CRITICAL POINT 69
3.5.1 SCALING FUNCTION 69
3.5.2 TEMPERATURE INDUCED CROSSOVER BETWEEN CLASSICAL AND QUANTUM
CRITICAL PHENOMENA 71
3.5.3 TEMPERATURE DEPENDENCE OF MAGNETIC SUSCEPTIBILITY OF PARAMAGNETS
NEAR THE QC POINT 71
3.5.4 MAGNETIC SUSCEPTIBILITY OF PARAMAGNETS AROUND THE QUANTUM CRITICAL
POINT 75
3.6 SUMMARY 76
REFERENCES 77
4 MAGNETIC PROPERTIES IN THE ORDERED PHASE 79
4.1 INITIAL VALUE PROBLEM 79
4.1.1 ANALYTIC PROPERTY OF THERMAL AMPLITUDE 80
4.1.2 EFFECT OF THE PRESENCE OF SPIN WAVES 81
4.2 TEMPERATURE DEPENDENCE OF SPONTANEOUS MOMENT 85
4.2.1 MAGNETIC PROPERTIES AT LOW TEMPERATURES 85
4.2.2 COMPARISON WITH EXPERIMENTS AT LOW TEMPERATURES. . 87 4.2.3
MAGNETIC PROPERTIES AROUND THE CRITICAL TEMPERATURE . 92 4.2.4
NUMERICAL RESULTS OF TEMPERATURE DEPENDENCE 93
4.2.5 MAGNETIZATION CURVE 93
4.3 SUMMARY 96
REFERENCES 97
5 THERMAL PROPERTIES OF ITINERANT MAGNETS 99
5.1 DIFFICULTIES INVOLVED IN THE SPIN FLUCTUATION THEORY OF SPECIFIC
HEAT 99
IMAGE 3
CONTENTS IX
5.2 FREE ENERGY OF SPIN FLUCTUATIONS 100
5.2.1 FREE ENERGY IN THE PRESENCE OF MAGNETIC MOMENT 100
5.2.2 STABILITY CONDITIONS OF THE FREE ENERGY 101
5.2.3 FREE ENERGY CORRECTIONS 102
5.3 TEMPERATURE DEPENDENCE OF ENTROPY AND SPECIFIC HEAT 104
5.3.1 TEMPERATURE DEPENDENCE OF PARAMAGNETIC ENTROPY 105 5.3.2
TEMPERATURE DEPENDENCE OF THE SPECIFIC HEAT 106
5.3.3 TEMPERATURE DEPENDENCE OF THE ENTROPY AND THE SPECIFIC HEAT IN THE
ORDERED PHASE 109
5.4 SPECIFIC HEAT UNDER THE EXTERNAL MAGNETIC FIELD 114
5.4.1 MAXWELL RELATION 114
5.4.2 TEMPERATURE DERIVATIVES IN THE STATIC EXTERNAL MAGNETIC FIELD 117
5.4.3 ENTROPY AND SPECIFIC HEAT IN THE PARAMAGNETIC PHASE. . . 118 5.4.4
EXTERNAL FIELD EFFECT IN THE ORDERED PHASE 122
5.4.5 NUMERICAL ESTIMATE 125
5.4.6 EXTERNAL FIELD EFFECT ON PARAMAGNETS NEAR THE QCP. . 128 5.5
SUMMARY 129
REFERENCES 130
6 MAGNETO VOLUME EFFECT 131
6.1 INTRODUCTION 131
6.1.1 THERMAL EXPANSION DUE TO LATTICE VIBRATIONS 132
6.2 STONER-EDWARDS-WOHLFARTH THEORY AND ITS CORRECTION 133
6.2.1 SEW THEORY OF MAGNETO-VOLUME EFFECT 133
6.2.2 CORRECTION OF THE FREE ENERGY OF SPIN FLUCTUATIONS 135
6.3 VOLUME DEPENDENCE OF THE FREE ENERGY 138
6.3.1 MAGNETIC GRIINEISEN PARAMETERS 141
6.3.2 FORCED MAGNETO-STRICTION AND MAXWELL RELATION 143
6.4 VOLUME MAGNETO-STRICTION FOR FERROMAGNETS 144
6.4.1 MAGNETO-VOLUME EFFECT IN THE GROUND STATE 144
6.4.2 FERROMAGNETS AT FINITE TEMPERATURES 145
6.5 MAGNETO-VOLUME EFFECT IN SOME TEMPERATURE RANGES 151
6.5.1 MAGNETO-VOLUME EFFECT AT LOW TEMPERATURE AND GRIINEISEN RELATION
152
6.5.2 AROUND THE CRITICAL POINT 154
6.5.3 IN THE PARAMAGNETIC PHASE 158
6.5.4 NUMERICAL RESULTS ON VOLUME-STRICTIONS 161
6.6 MAGNETO-VOLUME EFFECT FOR PARAMAGNETS 162
6.6.1 SPONTANEOUS MAGNETO-STRICTION FOR PARAMAGNETS 164
6.6.2 FORCED MAGNETO-STRICTION FOR PARAMAGNETS 166
6.7 PRESSURE EFFECTS ON SPONTANEOUS MAGNETIC MOMENT AND THE CRITICAL
TEMPERATURE 167
6.7.1 EFFECT OF PRESSURE ON THE CRITICAL TEMPERATURE 167
IMAGE 4
X CONTENTS
6.7.2 PRESSURE EFFECT MEASUREMENTS OF SPONTANEOUS MAGNETIC
MOMENT AND CRITICAL TEMPERATURE 170
6.8 SUMMARY OF MAGNETO-VOLUME EFFECTS 174
REFERENCES 176
INDEX 179 |
| any_adam_object | 1 |
| author | Takahashi, Yoshinori |
| author_GND | (DE-588)1034672797 |
| author_facet | Takahashi, Yoshinori |
| author_role | aut |
| author_sort | Takahashi, Yoshinori |
| author_variant | y t yt |
| building | Verbundindex |
| bvnumber | BV040993783 |
| classification_rvk | UD 9310 UP 6700 |
| classification_tum | PHY 721f |
| ctrlnum | (OCoLC)842199273 (DE-599)DNB1030170878 |
| dewey-full | 538.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 538 - Magnetism |
| dewey-raw | 538.4 |
| dewey-search | 538.4 |
| dewey-sort | 3538.4 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| isbn | 9783642366659 3642366651 |
| language | English |
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| physical | XI, 181 S. graph. Darst. 235 mm x 155 mm |
| publishDate | 2013 |
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| spelling | Takahashi, Yoshinori Verfasser (DE-588)1034672797 aut Spin fluctuation theory of itinerant electron magnetism Yoshinori Takahashi Berlin [u.a.] Springer 2013 XI, 181 S. graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Springer Tracts in Modern Physics 253 Spinfluktuation (DE-588)4494330-1 gnd rswk-swf Itineranter Magnetismus (DE-588)4133961-7 gnd rswk-swf Itineranter Magnetismus (DE-588)4133961-7 s Spinfluktuation (DE-588)4494330-1 s DE-604 Springer Tracts in Modern Physics 253 (DE-604)BV000000153 253 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4242646&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=025971529&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Takahashi, Yoshinori Spin fluctuation theory of itinerant electron magnetism Springer Tracts in Modern Physics Spinfluktuation (DE-588)4494330-1 gnd Itineranter Magnetismus (DE-588)4133961-7 gnd |
| subject_GND | (DE-588)4494330-1 (DE-588)4133961-7 |
| title | Spin fluctuation theory of itinerant electron magnetism |
| title_auth | Spin fluctuation theory of itinerant electron magnetism |
| title_exact_search | Spin fluctuation theory of itinerant electron magnetism |
| title_full | Spin fluctuation theory of itinerant electron magnetism Yoshinori Takahashi |
| title_fullStr | Spin fluctuation theory of itinerant electron magnetism Yoshinori Takahashi |
| title_full_unstemmed | Spin fluctuation theory of itinerant electron magnetism Yoshinori Takahashi |
| title_short | Spin fluctuation theory of itinerant electron magnetism |
| title_sort | spin fluctuation theory of itinerant electron magnetism |
| topic | Spinfluktuation (DE-588)4494330-1 gnd Itineranter Magnetismus (DE-588)4133961-7 gnd |
| topic_facet | Spinfluktuation Itineranter Magnetismus |
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