Quantum Ising phases and transitions in transverse Ising models:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1996
|
| Series: | [Lecture notes in physics / M]
41 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | 2. ed. u.d.T.: Suzuki, Sei: Quantum Ising phases and transitions in transverse Ising models. |
| Physical Description: | X, 203 S. graph. Darst. |
| ISBN: | 3540610332 |
Staff View
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| 245 | 1 | 0 | |a Quantum Ising phases and transitions in transverse Ising models |c Bikas K. Chakrabarti ; Amit Dutta ; Parongama Sen |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1996 | |
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| 490 | 1 | |a [Lecture notes in physics / M] |v 41 | |
| 500 | |a 2. ed. u.d.T.: Suzuki, Sei: Quantum Ising phases and transitions in transverse Ising models. | ||
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Record in the Search Index
| _version_ | 1807683898035929088 |
|---|---|
| adam_text |
CONTENTS
1.
INTRODUCTION
1.1
THE
TRANSVERSE
ISING
MODELS
1
1.2
A
SIMPLE
VERSION
OF
THE
MODEL
AND
MEAN
FIELD
PHASE
DIAGRAM
2
1.3
PROPERTIES
OF
ISING
MODELS
IN
A
TRANSVERSE
FIELD:
A
SUMMARY
6
REFERENCES
12
2.
TRANSVERSE
ISING
CHAIN
(PURE
SYSTEM)
2.1
SYMMETRIES
AND
THE
CRITICAL
POINT
17
2.1A
DUALITY
SYMMETRY
OF
THE
TRANSVERSE
ISING
MODEL
17
2.1B
PERTURBATIVE
APPROACH
19
2.2
EIGENVALUE.
SPECTRUM:
FERMIONIC
REPRESENTATION
21
2.3
DIAGONALISATION
TECHNIQUES
FOR
FINITE
TRANSVERSE
ISING
CHAIN
30
2.3A
FINITE-SIZE
SCALING
30
2.3B
THE
DIAGONALISATION
TECHNIQUES
31
2.4
REAL-SPACE
RENORMALISATION
35
2.5
FINITE
TEMPERATURE
BEHAVIOUR
OF
THE
TRANSVERSE
ISING
CHAIN
40
APPENDIX
41
A2.1
JORDAN-WIGNER
FERMIONS
41
A2.2
TO
DIAGONALISE
A
GENERAL
HAMILTONIAN
QUADRATIC
IN
FERMIONS
42
A2.3
CALCULATION
OF
CORRELATION
FUNCTIONS
46
REFERENCES
49
3.
TRANSVERSE
ISING
SYSTEM
IN
HIGHER
DIMENSIONS
(PURE
SYSTEMS)
3.1
MAPPING
TO
THE
EFFECTIVE
CLASSICAL
HAMILTONIAN:
SUZUKI-TROTTER
FORMALISM
50
3.2
THE
QUANTUM
MONTE
CARLO
METHOD
52
3.3
DISCRETISED
PATH
INTEGRAL
TECHNIQUES
FOR
A
TRANSVERSE
ISING
SYSTEM
55
VIII
3.4
SCALING
PROPERTIES
CLOSE
TO
THE
CRITICAL
POINT
57
3.5
REAL-SPACE
AND
FIELD-THEORETIC
RENORMALISATION
GROUP
60
3.5A
REAL-SPACE
RENORMALISATION
GROUP
60
3.5B
FIELD-THEORETIC
RENORMALISATION
GROUP
61
APPENDIX
63
A3.1
EFFECTIVE
CLASSICAL
HAMILTONIAN
OF
THE
TRANSVERSE
ISING
MODEL
63
A3.2
DERIVATION
OF
THE
EQUIVALENT
QUANTUM
HAMILTONIAN
OF
A
CLASSICAL
SPIN
SYSTEM
65
REFERENCES
67
4.
ANNNI
MODEL
IN
A
TRANSVERSE
FIELD
4.1
INTRODUCTION
68
4.2
CLASSICAL
ANNNI
MODEL
69
4.3
ANNNI
CHAIN
IN
A
TRANSVERSE
FIELD
71
4.3A
SOME
RESULTS
IN
THE
HAMILTONIAN
LIMIT:
THE
PESCHEL-EMERY
LINE
72
4.3B
INTERACTING
FERMION
PICTURE
75
4.3C
REAL-SPACE
RENORMALISATION
GROUP
CALCULATIONS
77
4.3D
FIELD-THEORETIC
RENORMALISATION
GROUP
80
4.3E
NUMERICAL
METHODS
81
4.3F
MONTE
CARLO
STUDY
84
4.4
LARGE
S
ANALYSIS
85
4.5
RESULTS
IN
HIGHER
DIMENSIONS
87
4.6
NEAREST
NEIGHBOUR
CORRELATIONS
IN
THE
GROUND
STATE
92
APPENDIX
93
A4.1
HARTREE-FOCK
METHOD:
MATHEMATICAL
DETAILS
93
A4.2
LARGE
S
ANALYSIS:
DIAGONALISATION
OF
THE
HAMILTONIAN
IN
SPIN-WAVE
ANALYSIS
95
REFERENCES
96
5.
DILUTE
AND
RANDOM
TRANSVERSE
ISING
SYSTEMS
5.1
INTRODUCTION
99
5.2
DILUTE
ISING
SYSTEM
IN
A
TRANSVERSE
FIELD
99
5.2A
MAPPING
TO
THE
EFFECTIVE
CLASSICAL
HAMILTONIAN:
HARRIS
CRITERION
101
5.2B
DISCONTINUOUS
JUMP
IN
F
C
(P,
T
=
0)
AT
THE
PERCOLATION
THRESHOLD
103
5.2C
REAL-SPACE
RENORMALISATION
GROUP
STUDIES
AND
SCALING
104
5.3
CRITICAL
BEHAVIOUR
OF
A
RANDOM
TRANSVERSE
FIELD
ISING
MODEL
109
5.3A
ANALYTICAL
RESULTS
110
5.3B
MAPPING
TO
FREE
FERMIONS
112
REFERENCES
116
IX
6.
TRANSVERSE
ISING
SPIN
GLASS
AND
RANDOM
FIELD
SYSTEMS
6.1
CLASSICAL
ISING
SPIN
GLASSES:
A
SUMMARY
118
6.2
QUANTUM
SPIN
GLASSES
120
6.3
MATTIS
MODEL
IN
A
TRANSVERSE
FIELD
123
6.4
SHERRINGTON-KIRKPATRICK
MODEL
IN
A
TRANSVERSE
FIELD
125
6.5
EDWARDS-ANDERSON
MODEL
IN
A
TRANSVERSE
FIELD
136
6.6 A
GENERAL
DISCUSSION
ON
TRANSVERSE
ISING
SPIN
GLASSES
141
6.7
CLASSICAL
RANDOM
FIELD
ISING
MODELS
(RFIM)
144
6.8
RANDOM
FIELD
TRANSVERSE
ISING
MODELS
146
6.8A
MEAN
FIELD
STUDIES
146
6.8B
MAPPING
OF
RANDOM
ISING
ANTIFERROMAGNET
IN
UNIFORM
LONGITUDINAL
AND
TRANSVERSE
FIELDS
TO
RFTIM
150
6.8C
CONCLUDING
REMARKS
ON
THE
RANDOM
FIELD
TRANSVERSE
ISING
MODEL
152
APPENDIX
153
A6.1
THE
VECTOR
SPIN
GLASS
MODEL
153
A6.2
THE
EFFECTIVE
CLASSICAL
HAMILTONIAN
OF
A
TRANSVERSE
ISING
SPIN
GLASS
154
A6.3
EFFECTIVE
SINGLE-SITE
HAMILTONIAN
FOR
LONG-RANGE
155
INTERACTING
RFTIM
A6.4
MAPPING
OF
RANDOM
ISING
ANTIFERROMAGNET
IN
UNIFORM
LONGITUDINAL
AND
TRANSVERSE
FIELDS
TO
RFTIM
157
REFERENCES
159
7.
DYNAMICS
OF
QUANTUM
ISING
SYSTEMS
7.1
TUNNELLING
DYNAMICS
FOR
HAMILTONIANS
WITHOUT
EXPLICIT
TIME
DEPENDENCE
162
7.1A
DYNAMICS
IN
ISING
SYSTEMS:
RANDOM
PHASE
APPROXIMATION
162
7.1B
DYNAMICS
IN
DILUTE
ISING
SPIN
SYSTEMS
164
7.1C
DYNAMICS
IN
QUANTUM
ISING
GLASSES
166
7.2
TUNNELLING
DYNAMICS
IN
PRESENCE
OF
TIME-DEPENDENT
PERTURBATIONS
169
7.2A
OSCILLATING
FIELDS:
QUANTUM
HYSTERESIS
169
7.2B
RESPONSE
DUE
TO
A
PULSED
TRANSVERSE
FIELD
IN
ABSENCE
OF
A
LONGITUDINAL
FIELD
180
APPENDIX
182
A7.1A
SOME
ANALYTIC
SOLUTIONS
IN
THE
LINEARISED
LIMIT
182
A7.1B
APPROXIMATE
ANALYTIC
FORM
OF
DYNAMIC
PHASE
BOUNDARY
183
A7.2
MICROSCOPIC
EQUATION
OF
MOTION
FOR
OSCILLATORY
TRANSVERSE
FIELD
184
REFERENCES
187
X
8.
RELATED
MODELS
8.1
XY
MODEL
IN
A
TRANSVERSE
FIELD
188
8.1A
MEAN
FIELD
THEORY
AND
BCS
EQUATIONS
188
8.1B
EXACT
SOLUTION
OF
TRANSVERSE
XY
CHAIN
191
8.1C
TRANSVERSE
XY
CHAIN
AND
HARPER
MODEL
193
8.
ID
INFINITE
RANGE
XY
SPIN
GLASS
IN
A
TRANSVERSE
FIELD
195
8.2
ISING
SPIN
GLASS
WITH
P-SPIN
INTERACTIONS
IN
A
TRANSVERSE
FIELD
197
8.3
HOPFIELD
MODEL
IN
A
TRANSVERSE
FIELD
199
REFERENCES
202
INDEX
204 |
| any_adam_object | 1 |
| author | Chakrabarti, Bikas K. 1952- Dutta, Amit 1968- Sen, Parongama 1963- |
| author_GND | (DE-588)11423244X (DE-588)114232458 (DE-588)114232466 |
| author_facet | Chakrabarti, Bikas K. 1952- Dutta, Amit 1968- Sen, Parongama 1963- |
| author_role | aut aut aut |
| author_sort | Chakrabarti, Bikas K. 1952- |
| author_variant | b k c bk bkc a d ad p s ps |
| building | Verbundindex |
| bvnumber | BV010665390 |
| classification_rvk | UD 8221 UG 3100 |
| classification_tum | PHY 602f |
| ctrlnum | (OCoLC)246855620 (DE-599)BVBBV010665390 |
| dewey-full | 530.4/16 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.4/16 |
| dewey-search | 530.4/16 |
| dewey-sort | 3530.4 216 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| format | Book |
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| id | DE-604.BV010665390 |
| illustrated | Illustrated |
| indexdate | 2024-08-18T00:41:44Z |
| institution | BVB |
| isbn | 3540610332 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007119502 |
| oclc_num | 246855620 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-83 DE-11 DE-188 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-83 DE-11 DE-188 |
| physical | X, 203 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Springer |
| record_format | marc |
| series2 | [Lecture notes in physics / M] |
| spelling | Chakrabarti, Bikas K. 1952- Verfasser (DE-588)11423244X aut Quantum Ising phases and transitions in transverse Ising models Bikas K. Chakrabarti ; Amit Dutta ; Parongama Sen Berlin [u.a.] Springer 1996 X, 203 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier [Lecture notes in physics / M] 41 2. ed. u.d.T.: Suzuki, Sei: Quantum Ising phases and transitions in transverse Ising models. Quantenphasenübergang (DE-588)4793582-0 gnd rswk-swf Querfeld (DE-588)4338647-7 gnd rswk-swf Ising-Modell (DE-588)4127615-2 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf Ising-Modell (DE-588)4127615-2 s Querfeld (DE-588)4338647-7 s DE-604 Quantenmechanisches System (DE-588)4300046-0 s Quantenphasenübergang (DE-588)4793582-0 s 1\p DE-604 Dutta, Amit 1968- Verfasser (DE-588)114232458 aut Sen, Parongama 1963- Verfasser (DE-588)114232466 aut M] [Lecture notes in physics 41 (DE-604)BV021852221 41 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007119502&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Chakrabarti, Bikas K. 1952- Dutta, Amit 1968- Sen, Parongama 1963- Quantum Ising phases and transitions in transverse Ising models Quantenphasenübergang (DE-588)4793582-0 gnd Querfeld (DE-588)4338647-7 gnd Ising-Modell (DE-588)4127615-2 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| subject_GND | (DE-588)4793582-0 (DE-588)4338647-7 (DE-588)4127615-2 (DE-588)4300046-0 |
| title | Quantum Ising phases and transitions in transverse Ising models |
| title_auth | Quantum Ising phases and transitions in transverse Ising models |
| title_exact_search | Quantum Ising phases and transitions in transverse Ising models |
| title_full | Quantum Ising phases and transitions in transverse Ising models Bikas K. Chakrabarti ; Amit Dutta ; Parongama Sen |
| title_fullStr | Quantum Ising phases and transitions in transverse Ising models Bikas K. Chakrabarti ; Amit Dutta ; Parongama Sen |
| title_full_unstemmed | Quantum Ising phases and transitions in transverse Ising models Bikas K. Chakrabarti ; Amit Dutta ; Parongama Sen |
| title_short | Quantum Ising phases and transitions in transverse Ising models |
| title_sort | quantum ising phases and transitions in transverse ising models |
| topic | Quantenphasenübergang (DE-588)4793582-0 gnd Querfeld (DE-588)4338647-7 gnd Ising-Modell (DE-588)4127615-2 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| topic_facet | Quantenphasenübergang Querfeld Ising-Modell Quantenmechanisches System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007119502&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021852221 |
| work_keys_str_mv | AT chakrabartibikask quantumisingphasesandtransitionsintransverseisingmodels AT duttaamit quantumisingphasesandtransitionsintransverseisingmodels AT senparongama quantumisingphasesandtransitionsintransverseisingmodels |