Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters
We perform exact numeric calculations for the two-orbital Hubbard model on the four-site cluster. In the limit of large on-site coupling the model becomes equivalent to the spin S “ 1 Heisenberg model. By comparing energy spectra of these two models, we quantified the range of interaction paramete...
Gespeichert in:
| Datum: | 2018 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2018
|
| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/157113 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters / R. Lemański, J. Matysiak // Condensed Matter Physics. — 2018. — Т. 21, № 3. — С. 33301: 1–8. — Бібліогр.: 15 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-157113 |
|---|---|
| record_format |
dspace |
| fulltext |
|
| spelling |
irk-123456789-1571132019-06-20T01:28:10Z Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters Lemański, R. Matysiak, J. We perform exact numeric calculations for the two-orbital Hubbard model on the four-site cluster. In the limit of large on-site coupling the model becomes equivalent to the spin S “ 1 Heisenberg model. By comparing energy spectra of these two models, we quantified the range of interaction parameters for which the Heisenberg model satisfactorily reproduces the two-orbital Hubbard model. Then we examined how the spectrum evolves when we are outside of this region, focusing especially on checking of how it is modified when various ways of interatomic hoppings of electrons between different orbitals are taken into account. We finally show how these modifications affect the dependence of specific heat on temperature. Нами проведено точнi числовi розрахунки для двоорбiтальної моделi Хаббарда на чотиривузловому кластерi. В границi великої одновузлової взаємодiї ця модель стає еквiвалентною спiн S “ 1 моделi Гайзенберга. З порiвняння енергетичних спектрiв цих двох моделей нами визначено кiлькiсно дiапазон значень параметрiв взаємодiї, для якого модель Гайзенберга задовiльно вiдтворює двоорбiтальну модель Хаббарда. Потiм ми розглянули змiни спектру, коли ми знаходимося за межами цього дiапазону, зосереджуючись, зокрема, на перевiрцi того, як вiн модифiкується, коли враховуються рiзнi способи мiжатомних перескокiв електронiв мiж рiзними орбiталями. Насамкiнець, нами показано як цi змiни впливають на температурну залежнiсть питомої теплоємностi. 2018 Article Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters / R. Lemański, J. Matysiak // Condensed Matter Physics. — 2018. — Т. 21, № 3. — С. 33301: 1–8. — Бібліогр.: 15 назв. — англ. 1607-324X PACS: 31.15.vq, 75.10.Jm, 75.10.Pq DOI:10.5488/CMP.21.33301 arXiv:1809.09483 http://dspace.nbuv.gov.ua/handle/123456789/157113 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We perform exact numeric calculations for the two-orbital Hubbard model on the four-site cluster. In the limit
of large on-site coupling the model becomes equivalent to the spin S “ 1 Heisenberg model. By comparing
energy spectra of these two models, we quantified the range of interaction parameters for which the Heisenberg
model satisfactorily reproduces the two-orbital Hubbard model. Then we examined how the spectrum evolves
when we are outside of this region, focusing especially on checking of how it is modified when various ways of
interatomic hoppings of electrons between different orbitals are taken into account. We finally show how these
modifications affect the dependence of specific heat on temperature. |
| format |
Article |
| author |
Lemański, R. Matysiak, J. |
| spellingShingle |
Lemański, R. Matysiak, J. Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters Condensed Matter Physics |
| author_facet |
Lemański, R. Matysiak, J. |
| author_sort |
Lemański, R. |
| title |
Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters |
| title_short |
Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters |
| title_full |
Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters |
| title_fullStr |
Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters |
| title_full_unstemmed |
Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters |
| title_sort |
two-orbital hubbard model vs spin s=1 heisenberg model: studies on clusters |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157113 |
| citation_txt |
Two-orbital Hubbard model vs spin S=1 Heisenberg model: studies on clusters / R. Lemański, J. Matysiak // Condensed Matter Physics. — 2018. — Т. 21, № 3. — С. 33301: 1–8. — Бібліогр.: 15 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT lemanskir twoorbitalhubbardmodelvsspins1heisenbergmodelstudiesonclusters AT matysiakj twoorbitalhubbardmodelvsspins1heisenbergmodelstudiesonclusters |
| first_indexed |
2025-07-14T09:26:08Z |
| last_indexed |
2025-07-14T09:26:08Z |
| _version_ |
1837613888409960448 |