DMRG study of exciton condensation in the extended Falicov-Kimball model
The formation and condensation of excitonic bound states of conduction-band electrons and valence-band holes surely belongs to one of the most exciting ideas of contemporary solid state physics. In this short review we present the latest progress in this field reached by the density-matrix-renormali...
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2021-01-01
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| Series: | Condensed Matter Physics |
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| Online Access: | https://doi.org/10.5488/CMP.23.43709 |
| _version_ | 1831647388309127168 |
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| author | P. Farkašovský |
| author_facet | P. Farkašovský |
| author_sort | P. Farkašovský |
| collection | DOAJ |
| description | The formation and condensation of excitonic bound states of conduction-band electrons and valence-band holes surely belongs to one of the most exciting ideas of contemporary solid state physics. In this short review we present the latest progress in this field reached by the density-matrix-renormalization-group (DMRG) calculations within various extensions of the Falicov-Kimball model. Particular attention is paid to a description of crucial mechanisms (interactions) that affect the stability of the excitonic phase, and namely: (i) the interband d-f Coulomb interaction, (ii) the f-electron hopping, (iii) the nonlocal hybridization with odd and even parity, (iv) combined effects of the local and nonlocal hybridization, (v) the nearest-neighbor Coulomb interaction between d and f electrons and (vi) the correlated hopping. The relevance of numerical results obtained within different extensions of the Falicov-Kimball model for a description of the real d-f materials is widely discussed. |
| first_indexed | 2024-12-19T14:12:36Z |
| format | Article |
| id | doaj.art-ed163a541db2436e98ee3c51c6c5e0d5 |
| institution | Directory Open Access Journal |
| issn | 1607-324X 2224-9079 |
| language | English |
| last_indexed | 2024-12-19T14:12:36Z |
| publishDate | 2021-01-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-ed163a541db2436e98ee3c51c6c5e0d52022-12-21T20:18:04ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2224-90792021-01-012344370910.5488/CMP.23.43709DMRG study of exciton condensation in the extended Falicov-Kimball modelP. FarkašovskýThe formation and condensation of excitonic bound states of conduction-band electrons and valence-band holes surely belongs to one of the most exciting ideas of contemporary solid state physics. In this short review we present the latest progress in this field reached by the density-matrix-renormalization-group (DMRG) calculations within various extensions of the Falicov-Kimball model. Particular attention is paid to a description of crucial mechanisms (interactions) that affect the stability of the excitonic phase, and namely: (i) the interband d-f Coulomb interaction, (ii) the f-electron hopping, (iii) the nonlocal hybridization with odd and even parity, (iv) combined effects of the local and nonlocal hybridization, (v) the nearest-neighbor Coulomb interaction between d and f electrons and (vi) the correlated hopping. The relevance of numerical results obtained within different extensions of the Falicov-Kimball model for a description of the real d-f materials is widely discussed.https://doi.org/10.5488/CMP.23.43709falicov-kimball modelquantum condensatesone-dimensional systems |
| spellingShingle | P. Farkašovský DMRG study of exciton condensation in the extended Falicov-Kimball model Condensed Matter Physics falicov-kimball model quantum condensates one-dimensional systems |
| title | DMRG study of exciton condensation in the extended Falicov-Kimball model |
| title_full | DMRG study of exciton condensation in the extended Falicov-Kimball model |
| title_fullStr | DMRG study of exciton condensation in the extended Falicov-Kimball model |
| title_full_unstemmed | DMRG study of exciton condensation in the extended Falicov-Kimball model |
| title_short | DMRG study of exciton condensation in the extended Falicov-Kimball model |
| title_sort | dmrg study of exciton condensation in the extended falicov kimball model |
| topic | falicov-kimball model quantum condensates one-dimensional systems |
| url | https://doi.org/10.5488/CMP.23.43709 |
| work_keys_str_mv | AT pfarkasovsky dmrgstudyofexcitoncondensationintheextendedfalicovkimballmodel |