Finite size effects in correlated electron models: exact results
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London
Imperial College Press
2005
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 367 S. |
| ISBN: | 1860945031 |
Internformat
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV021284805 | ||
| 003 | DE-604 | ||
| 005 | 20071113 | ||
| 007 | t | ||
| 008 | 060109s2005 |||| 00||| eng d | ||
| 020 | |a 1860945031 |9 1-86094-503-1 | ||
| 035 | |a (OCoLC)61512934 | ||
| 035 | |a (DE-599)BVBBV021284805 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-703 |a DE-355 | ||
| 050 | 0 | |a QC20.7.B47 | |
| 082 | 0 | |a 620.5 |2 22 | |
| 082 | 0 | |a 530.411 |2 22 | |
| 084 | |a UP 3600 |0 (DE-625)146385: |2 rvk | ||
| 100 | 1 | |a Zvyagin, Andrei A. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Finite size effects in correlated electron models |b exact results |c Andrei A. Zvyagin |
| 264 | 1 | |a London |b Imperial College Press |c 2005 | |
| 300 | |a XII, 367 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Bethe, Ansatz de | |
| 650 | 7 | |a Elektronen |2 gtt | |
| 650 | 7 | |a Kernspin |2 gtt | |
| 650 | 7 | |a Kwantumveldentheorie |2 gtt | |
| 650 | 4 | |a Spin | |
| 650 | 4 | |a Théorie quantique | |
| 650 | 4 | |a Électrons | |
| 650 | 4 | |a Quantentheorie | |
| 650 | 4 | |a Bethe-ansatz technique | |
| 650 | 4 | |a Electrons | |
| 650 | 4 | |a Nuclear spin | |
| 650 | 4 | |a Quantum theory | |
| 650 | 0 | 7 | |a Festkörper |0 (DE-588)4016918-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Size-Effekt |0 (DE-588)4181611-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Elektronenkorrelation |0 (DE-588)4210527-4 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Festkörper |0 (DE-588)4016918-2 |D s |
| 689 | 0 | 1 | |a Elektronenkorrelation |0 (DE-588)4210527-4 |D s |
| 689 | 0 | 2 | |a Size-Effekt |0 (DE-588)4181611-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014605754&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014605754 | ||
Datensatz im Suchindex
| _version_ | 1804135073316864000 |
|---|---|
| adam_text | Contents
Preface
vii
1.
Introduction
1
1.1
Why is the Topic of the Book Worthwhile Studying?
.... 1
1.2
Thermodynamics
........................ 5
1.3
Statistical Mechanics: Simple Models
............ 7
1.4
Mermin-Hohenberg Theorem
................. 17
2.
Quantum Spin-^ Chain with the Nearest-Neighbour Couplings
25
2.1
One-Dimensional Spin Hamiltonian
............. 26
2.2
Ising Chain
........................... 27
2.3 Isotropie XY
Ring
....................... 30
2.4
Ising Chain in a Transverse Magnetic Field
......... 35
2.5
Dimerized XY Chain
..................... 38
3.
Co-ordinate Bethe
Ansatz
for a Heisenberg-Ising Ring
49
3.1
Bethe
Ansatz.......................... 49
3.2
Simple Solutions of the Bethe
Ansatz
Equations: Strings
. 55
3.3
Thermodynamic Bethe
Ansatz................ 57
3.4
The Ground State Behaviour
................. 62
3.5
Magnetic Field Behaviour in the Ground State:
Wiener-
Hopf
Method
.......................... 66
4.
Correlated Electron Chains: Co-ordinate Bethe
Ansatz 73
4.1
Hubbard Chain
........................ 74
4.2
r-JChain
............................ 97
xii
Finite Size Effects in Correlated Electron Models: Exact Results
5.
Algebraic Bethe
Ansatz 115
5.1
The Algebraic Bethe
Ansatz
for a Spin-^ Chain
...... 115
5.2
SU(2)-Symmetric Spin-5 Chain
............... 124
5.3
The Algebraic Bethe
Ansatz
for Correlated Electron Models
137
6.
Correlated Quantum Chains with Open Boundary Conditions
149
6.1
Open Boundaries. XY and Ising Chains
........... 149
6.2
Open Boundaries: Co-ordinate Bethe
Ansatz
for the
Heisenberg-Ising Chain
.................... 153
6.3
Open Boundaries. The Algebraic Bethe
Ansatz....... 164
6.4
Open Hubbard Chain
..................... 171
6.5
Open Supersymmetric t-J Chain
............... 181
7.
Correlated Quantum Chains with Isolated Impurities
189
7.1
Impurities in XY Chains
................... 189
7.2
Impurities in Spin Chains: Bethe
Ansatz.......... 200
7.3
Impurity in Correlated Electron Chains
........... 219
8.
Correlated Quantum Chains with a Finite Concentration
of Impurities
243
8.1
Impurities Bands
....................... 243
8.2
Disodered Ensembles of Impurities in Correlated Chains.
Quantum Transfer Matrix Approach
........... 262
9.
Finite Size Corrections in Quantum Correlated Chains
285
9.1
Finite Size Corrections for Quantum Spin Chains
..... 285
9.2
Finite Size Corrections for Correlated Electron Chains
. . . 294
9.3
Elements of
Conformai
Field Theory
............. 304
9.4
Asymptotics of Correlation Functions
............ 316
9.5
Persistent Currents in Correlated Electron Rings
...... 323
10.
Beyond the Integrability: Approximate Methods
335
10.1
Scaling Analysis
....................... 335
10.2
Bosonization
......................... 339
Bibliography
355
Index
365
|
| adam_txt |
Contents
Preface
vii
1.
Introduction
1
1.1
Why is the Topic of the Book Worthwhile Studying?
. 1
1.2
Thermodynamics
. 5
1.3
Statistical Mechanics: Simple Models
. 7
1.4
Mermin-Hohenberg Theorem
. 17
2.
Quantum Spin-^ Chain with the Nearest-Neighbour Couplings
25
2.1
One-Dimensional Spin Hamiltonian
. 26
2.2
Ising Chain
. 27
2.3 Isotropie XY
Ring
. 30
2.4
Ising Chain in a Transverse Magnetic Field
. 35
2.5
Dimerized XY Chain
. 38
3.
Co-ordinate Bethe
Ansatz
for a Heisenberg-Ising Ring
49
3.1
Bethe
Ansatz. 49
3.2
Simple Solutions of the Bethe
Ansatz
Equations: Strings
. 55
3.3
Thermodynamic Bethe
Ansatz. 57
3.4
The Ground State Behaviour
. 62
3.5
Magnetic Field Behaviour in the Ground State:
Wiener-
Hopf
Method
. 66
4.
Correlated Electron Chains: Co-ordinate Bethe
Ansatz 73
4.1
Hubbard Chain
. 74
4.2
r-JChain
. 97
xii
Finite Size Effects in Correlated Electron Models: Exact Results
5.
Algebraic Bethe
Ansatz 115
5.1
The Algebraic Bethe
Ansatz
for a Spin-^ Chain
. 115
5.2
SU(2)-Symmetric Spin-5 Chain
. 124
5.3
The Algebraic Bethe
Ansatz
for Correlated Electron Models
137
6.
Correlated Quantum Chains with Open Boundary Conditions
149
6.1
Open Boundaries. XY and Ising Chains
. 149
6.2
Open Boundaries: Co-ordinate Bethe
Ansatz
for the
Heisenberg-Ising Chain
. 153
6.3
Open Boundaries. The Algebraic Bethe
Ansatz. 164
6.4
Open Hubbard Chain
. 171
6.5
Open Supersymmetric t-J Chain
. 181
7.
Correlated Quantum Chains with Isolated Impurities
189
7.1
Impurities in XY Chains
. 189
7.2
Impurities in Spin Chains: Bethe
Ansatz. 200
7.3
Impurity in Correlated Electron Chains
. 219
8.
Correlated Quantum Chains with a Finite Concentration
of Impurities
243
8.1
Impurities' Bands
. 243
8.2
Disodered Ensembles of Impurities in Correlated Chains.
"Quantum Transfer Matrix" Approach
. 262
9.
Finite Size Corrections in Quantum Correlated Chains
285
9.1
Finite Size Corrections for Quantum Spin Chains
. 285
9.2
Finite Size Corrections for Correlated Electron Chains
. . . 294
9.3
Elements of
Conformai
Field Theory
. 304
9.4
Asymptotics of Correlation Functions
. 316
9.5
Persistent Currents in Correlated Electron Rings
. 323
10.
Beyond the Integrability: Approximate Methods
335
10.1
Scaling Analysis
. 335
10.2
Bosonization
. 339
Bibliography
355
Index
365 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Zvyagin, Andrei A. |
| author_facet | Zvyagin, Andrei A. |
| author_role | aut |
| author_sort | Zvyagin, Andrei A. |
| author_variant | a a z aa aaz |
| building | Verbundindex |
| bvnumber | BV021284805 |
| callnumber-first | Q - Science |
| callnumber-label | QC20 |
| callnumber-raw | QC20.7.B47 |
| callnumber-search | QC20.7.B47 |
| callnumber-sort | QC 220.7 B47 |
| callnumber-subject | QC - Physics |
| classification_rvk | UP 3600 |
| ctrlnum | (OCoLC)61512934 (DE-599)BVBBV021284805 |
| dewey-full | 620.5 530.411 |
| dewey-hundreds | 600 - Technology (Applied sciences) 500 - Natural sciences and mathematics |
| dewey-ones | 620 - Engineering and allied operations 530 - Physics |
| dewey-raw | 620.5 530.411 |
| dewey-search | 620.5 530.411 |
| dewey-sort | 3620.5 |
| dewey-tens | 620 - Engineering and allied operations 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01878nam a2200541 c 4500</leader><controlfield tag="001">BV021284805</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20071113 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">060109s2005 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">1860945031</subfield><subfield code="9">1-86094-503-1</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)61512934</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021284805</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-703</subfield><subfield code="a">DE-355</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QC20.7.B47</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">620.5</subfield><subfield code="2">22</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">530.411</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">UP 3600</subfield><subfield code="0">(DE-625)146385:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Zvyagin, Andrei A.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Finite size effects in correlated electron models</subfield><subfield code="b">exact results</subfield><subfield code="c">Andrei A. Zvyagin</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">London</subfield><subfield code="b">Imperial College Press</subfield><subfield code="c">2005</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">XII, 367 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bethe, Ansatz de</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Elektronen</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Kernspin</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Kwantumveldentheorie</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Spin</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Théorie quantique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Électrons</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantentheorie</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Bethe-ansatz technique</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Electrons</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nuclear spin</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Quantum theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Festkörper</subfield><subfield code="0">(DE-588)4016918-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Size-Effekt</subfield><subfield code="0">(DE-588)4181611-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Elektronenkorrelation</subfield><subfield code="0">(DE-588)4210527-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Festkörper</subfield><subfield code="0">(DE-588)4016918-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Elektronenkorrelation</subfield><subfield code="0">(DE-588)4210527-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Size-Effekt</subfield><subfield code="0">(DE-588)4181611-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014605754&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-014605754</subfield></datafield></record></collection> |
| id | DE-604.BV021284805 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T13:48:10Z |
| indexdate | 2024-07-09T20:34:42Z |
| institution | BVB |
| isbn | 1860945031 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014605754 |
| oclc_num | 61512934 |
| open_access_boolean | |
| owner | DE-703 DE-355 DE-BY-UBR |
| owner_facet | DE-703 DE-355 DE-BY-UBR |
| physical | XII, 367 S. |
| publishDate | 2005 |
| publishDateSearch | 2005 |
| publishDateSort | 2005 |
| publisher | Imperial College Press |
| record_format | marc |
| spelling | Zvyagin, Andrei A. Verfasser aut Finite size effects in correlated electron models exact results Andrei A. Zvyagin London Imperial College Press 2005 XII, 367 S. txt rdacontent n rdamedia nc rdacarrier Bethe, Ansatz de Elektronen gtt Kernspin gtt Kwantumveldentheorie gtt Spin Théorie quantique Électrons Quantentheorie Bethe-ansatz technique Electrons Nuclear spin Quantum theory Festkörper (DE-588)4016918-2 gnd rswk-swf Size-Effekt (DE-588)4181611-0 gnd rswk-swf Elektronenkorrelation (DE-588)4210527-4 gnd rswk-swf Festkörper (DE-588)4016918-2 s Elektronenkorrelation (DE-588)4210527-4 s Size-Effekt (DE-588)4181611-0 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014605754&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Zvyagin, Andrei A. Finite size effects in correlated electron models exact results Bethe, Ansatz de Elektronen gtt Kernspin gtt Kwantumveldentheorie gtt Spin Théorie quantique Électrons Quantentheorie Bethe-ansatz technique Electrons Nuclear spin Quantum theory Festkörper (DE-588)4016918-2 gnd Size-Effekt (DE-588)4181611-0 gnd Elektronenkorrelation (DE-588)4210527-4 gnd |
| subject_GND | (DE-588)4016918-2 (DE-588)4181611-0 (DE-588)4210527-4 |
| title | Finite size effects in correlated electron models exact results |
| title_auth | Finite size effects in correlated electron models exact results |
| title_exact_search | Finite size effects in correlated electron models exact results |
| title_exact_search_txtP | Finite size effects in correlated electron models exact results |
| title_full | Finite size effects in correlated electron models exact results Andrei A. Zvyagin |
| title_fullStr | Finite size effects in correlated electron models exact results Andrei A. Zvyagin |
| title_full_unstemmed | Finite size effects in correlated electron models exact results Andrei A. Zvyagin |
| title_short | Finite size effects in correlated electron models |
| title_sort | finite size effects in correlated electron models exact results |
| title_sub | exact results |
| topic | Bethe, Ansatz de Elektronen gtt Kernspin gtt Kwantumveldentheorie gtt Spin Théorie quantique Électrons Quantentheorie Bethe-ansatz technique Electrons Nuclear spin Quantum theory Festkörper (DE-588)4016918-2 gnd Size-Effekt (DE-588)4181611-0 gnd Elektronenkorrelation (DE-588)4210527-4 gnd |
| topic_facet | Bethe, Ansatz de Elektronen Kernspin Kwantumveldentheorie Spin Théorie quantique Électrons Quantentheorie Bethe-ansatz technique Electrons Nuclear spin Quantum theory Festkörper Size-Effekt Elektronenkorrelation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014605754&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT zvyaginandreia finitesizeeffectsincorrelatedelectronmodelsexactresults |