Statistical mechanics of periodic frustrated ising systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Tokyo
Springer
1986
|
| Schriftenreihe: | Lecture notes in physics
251 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 133 - 141 |
| Beschreibung: | VII, 141 S. graph. Darst. |
| ISBN: | 3540164731 0387164731 |
Internformat
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Datensatz im Suchindex
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| adam_text |
STATISTICAL MECHANICS OF PERIODIC
FRUSTRATED
ISING SYSTEMS
RAINER LIEBMANN
MAX-PLANCK-INSTITUT FUR FESTKORPERFORSCHUNG
HEISENBERGSTR. 1, D-7000 STUTTGART 80
CONTENTS
1. INTRODUCTION AND SURVEY 1
1.1 CRITICAL PHENOMENA AT SECOND ORDER PHASE TRANSITIONS 4
1.2 SCOPE OF THIS BOOK 6
2. ONE-DIMENSIONAL FRUSTRATED ISING SYSTEMS 7
2.1 PERIODIC ANNNI-CHAIN 7
2.1.1 GROUNDSTATE DEGENERACY OF THE ANNNI-CHAIN 9
2.1.2 PERIODIC ANNNI-CHAIN FOR T # 0 11
2.2 DECORATED CHAINS 15
2.3 PARTIALLY FRUSTRATED CHAINS 20
2.3.1 PERIODIC FRUSTRATED CHAINS 21
2.3.2 RANDOM FRUSTRATED CHAIN 22
3. TWO-DIMENSIONAL FRUSTRATED ISING SYSTEMS 26
3.1 TRANSFORMATIONS OF ISING SYSTEMS 26
3.1.1 DUALITY TRANSFORMATION 29
3.1.2 DECIMATION TRANSFORMATION 34
A) DECORATION-ITERATION TRANSFORMATION 34
B) STAR-TRIANGLE TRANSFORMATION 35
3.1.3 CONNECTION BETWEEN DIFFERENT LATTICES 37
*)
PRESENT ADDRESS: AEG AKTIENGESELLSCHAFT, SEDANSTR. 10, D-79QO ULM/FRG
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/860437639
VI
3.2 TRIANGULAR LATTICE 38
3.2.1 ESTIMATION OF THE GROUNDSTATE DEGENERACY 39
A) SIMPLE LOWER BOUND 41
B) PAULING METHOD 42
C) SYSTEMATIC CLUSTER APPROXIMATION 42
3.2.2 PARTITION FUNCTION AND EXACT GS ENTROPY OF THE
ISOTROPIC SYSTEM 46
3.2.3 SPECIFIC HEAT NEAR THE FRUSTRATION POINTS
(J-, = J2) 48
3.2.4 PAIR CORRELATION FUNCTION, DISORDER LINES
(J! = J2) 51
3.2. S' MAPPING TO THE QUANTUM XY-CHAIN AND TO THE
KINETIC NN ISING CHAIN 54
3.3 FURTHER FRUSTRATED SYSTEMS WITH NONCROSSING INTERACTIONS 61
3.3.1 UNION-JACK LATTICE 61
3.3.2 VILLAIN'S ODD MODEL AND ITS GENERALIZATIONS 68
A) GROUNDSTATES AND PHASE DIAGRAMS 68
B) CORRELATION FUNCTIONS 70
C) PERIODICAL LAYERED MODELS 71
D) CHESSBOARD MODEL 74
3.3.3 HEXAGON LATTICE 75
3.3.4 PENTAGON LATTICE 76
3.3.5 KAGOME LATTICE 77
3.3.6 CONNECTION BETWEEN GROUNDSTATE DEGENERACY AND
EXISTENCE OF A PHASE TRANSITION AT TC = 0 81
3.4 FRUSTRATED ISING SYSTEMS WITH CROSSING INTERACTIONS 82
3.4.1 2D ANNNI-MODE1 82
3.4.2 BRICK MODEL 87
3.4.3 FRUSTRATED TRIANGULAR LATTICE WITH NNN-INTERAC-
TIONS AND MAGNETIC FIELD 88
A) ADDITIONAL NNN-INTERACTIONS J
2 89
B) ADDITIONAL MAGNETIC FIELD H 93
C) CORRESPONDING LATTICE GAS MODEL 97
3.4.4 SQUARE LATTICE WITH COMPETING NN- AND NNN-INTER-
ACTIONS: RELATION TO VERTEX MODELS 99
A) SYSTEM WITHOUT MAGNETIC FIELD 99
B) SYSTEMS WITH MAGNETIC FIELD 101
C) CONNECTION TO VERTEX MODELS 105
4. THREE-DIMENSIONAL FRUSTRATED ISING SYSTEMS 109
4.1 FEE ANTIFERROMAGNET 109
4.2 FULLY AND PARTIALLY FRUSTRATED SIMPLE CUBIC LATTICE 112
VII
4.3 AF PYROCHLORE MODEL 117
4.4 ANNNI-MODE1 122
4.5 FEE FOUR-SPIN (QUARTET) MODEL 127
5. CONCLUSION 131
REFERENCES 133 |
| any_adam_object | 1 |
| author | Liebmann, Rainer |
| author_facet | Liebmann, Rainer |
| author_role | aut |
| author_sort | Liebmann, Rainer |
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| building | Verbundindex |
| bvnumber | BV025874142 |
| classification_rvk | UD 8220 UG 3100 |
| ctrlnum | (OCoLC)263098870 (DE-599)BVBBV025874142 |
| discipline | Physik |
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| id | DE-604.BV025874142 |
| illustrated | Illustrated |
| indexdate | 2024-10-09T18:18:40Z |
| institution | BVB |
| isbn | 3540164731 0387164731 |
| language | German |
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| oclc_num | 263098870 |
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| owner_facet | DE-11 |
| physical | VII, 141 S. graph. Darst. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in physics |
| series2 | Lecture notes in physics |
| spelling | Liebmann, Rainer Verfasser aut Statistical mechanics of periodic frustrated ising systems R. Liebmann Berlin ; Heidelberg ; New York ; Tokyo Springer 1986 VII, 141 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in physics 251 Literaturverz. S. 133 - 141 Statistische Mechanik (DE-588)4056999-8 gnd rswk-swf Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Ising-Modell (DE-588)4127615-2 gnd rswk-swf Ising-Modell (DE-588)4127615-2 s Phasenumwandlung (DE-588)4132140-6 s DE-604 Statistische Mechanik (DE-588)4056999-8 s Lecture notes in physics 251 (DE-604)BV000003166 251 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019121350&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Liebmann, Rainer Statistical mechanics of periodic frustrated ising systems Lecture notes in physics Statistische Mechanik (DE-588)4056999-8 gnd Phasenumwandlung (DE-588)4132140-6 gnd Ising-Modell (DE-588)4127615-2 gnd |
| subject_GND | (DE-588)4056999-8 (DE-588)4132140-6 (DE-588)4127615-2 |
| title | Statistical mechanics of periodic frustrated ising systems |
| title_auth | Statistical mechanics of periodic frustrated ising systems |
| title_exact_search | Statistical mechanics of periodic frustrated ising systems |
| title_full | Statistical mechanics of periodic frustrated ising systems R. Liebmann |
| title_fullStr | Statistical mechanics of periodic frustrated ising systems R. Liebmann |
| title_full_unstemmed | Statistical mechanics of periodic frustrated ising systems R. Liebmann |
| title_short | Statistical mechanics of periodic frustrated ising systems |
| title_sort | statistical mechanics of periodic frustrated ising systems |
| topic | Statistische Mechanik (DE-588)4056999-8 gnd Phasenumwandlung (DE-588)4132140-6 gnd Ising-Modell (DE-588)4127615-2 gnd |
| topic_facet | Statistische Mechanik Phasenumwandlung Ising-Modell |
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