Construction of interacting flat-band models by molecular-orbital representation: Correlation functions, energy gap, and entanglement
Abstract We calculate correlation functions of exactly solvable one-dimensional flat-band models by utilizing the “molecular-orbital” representation. The models considered in this paper have a gapped ground state with the flat band being fully occupied, even in the presence of the interaction. In th...
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| Published in | Progress of theoretical and experimental physics Vol. 2022; no. 2 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
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Oxford University Press
01.02.2022
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| ISSN | 2050-3911 2050-3911 |
| DOI | 10.1093/ptep/ptac015 |
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| Abstract | Abstract
We calculate correlation functions of exactly solvable one-dimensional flat-band models by utilizing the “molecular-orbital” representation. The models considered in this paper have a gapped ground state with the flat band being fully occupied, even in the presence of the interaction. In this class of models, the space spanned by the molecular-orbitals is the co-space of that spanned by the flat bands. Thanks to this property, the correlation functions are calculated by using the information of the molecular-orbitals rather than the explicit forms of the flat-band wave functions, which simplifies the calculations. As a demonstration, several one-dimensional models and their correlation functions are presented. We also calculate the entanglement entropy by using the correlation function. |
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| AbstractList | We calculate correlation functions of exactly solvable one-dimensional flat-band models by utilizing the “molecular-orbital” representation. The models considered in this paper have a gapped ground state with the flat band being fully occupied, even in the presence of the interaction. In this class of models, the space spanned by the molecular-orbitals is the co-space of that spanned by the flat bands. Thanks to this property, the correlation functions are calculated by using the information of the molecular-orbitals rather than the explicit forms of the flat-band wave functions, which simplifies the calculations. As a demonstration, several one-dimensional models and their correlation functions are presented. We also calculate the entanglement entropy by using the correlation function. Abstract We calculate correlation functions of exactly solvable one-dimensional flat-band models by utilizing the “molecular-orbital” representation. The models considered in this paper have a gapped ground state with the flat band being fully occupied, even in the presence of the interaction. In this class of models, the space spanned by the molecular-orbitals is the co-space of that spanned by the flat bands. Thanks to this property, the correlation functions are calculated by using the information of the molecular-orbitals rather than the explicit forms of the flat-band wave functions, which simplifies the calculations. As a demonstration, several one-dimensional models and their correlation functions are presented. We also calculate the entanglement entropy by using the correlation function. |
| Author | Mizoguchi, Tomonari Kuno, Yoshihito Hatsugai, Yasuhiro |
| Author_xml | – sequence: 1 givenname: Tomonari surname: Mizoguchi fullname: Mizoguchi, Tomonari email: mizoguchi@rhodia.ph.tsukuba.ac.jp – sequence: 2 givenname: Yoshihito surname: Kuno fullname: Kuno, Yoshihito – sequence: 3 givenname: Yasuhiro surname: Hatsugai fullname: Hatsugai, Yasuhiro |
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| CitedBy_id | crossref_primary_10_1103_PhysRevB_107_094201 crossref_primary_10_1126_sciadv_adg0028 crossref_primary_10_1103_PhysRevB_107_L121301 crossref_primary_10_1038_s41467_024_45395_9 crossref_primary_10_1103_PhysRevB_111_085150 |
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We calculate correlation functions of exactly solvable one-dimensional flat-band models by utilizing the “molecular-orbital” representation. The... We calculate correlation functions of exactly solvable one-dimensional flat-band models by utilizing the “molecular-orbital” representation. The models... |
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| Title | Construction of interacting flat-band models by molecular-orbital representation: Correlation functions, energy gap, and entanglement |
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