Deformation of localized states and state transitions in systems of randomly hopping interacting fermions
| Autor: | Takahiro Orito, Yoshihito Kuno, Ikuo Ichinose |
|---|---|
| Rok vydání: | 2022 |
| Předmět: |
Condensed Matter::Quantum Gases
Statistical Mechanics (cond-mat.stat-mech) Quantum Gases (cond-mat.quant-gas) FOS: Physical sciences Disordered Systems and Neural Networks (cond-mat.dis-nn) Condensed Matter - Disordered Systems and Neural Networks Condensed Matter - Quantum Gases Condensed Matter - Statistical Mechanics |
| Zdroj: | Physical Review B. 105 |
| ISSN: | 2469-9969 2469-9950 |
| DOI: | 10.1103/physrevb.105.094201 |
| Popis: | We numerically study the random-hopping fermions (the Cruetz ladder) with repulsion and investigate how the interactions deform localized eigenstates by means of the one particle-density matrix (OPDM). The ground state exhibits resurgence of localization from the compact localized state to strong-repulsion-induced localization. On the other hand, excited states in the middle of the spectrum tend to extend by the repulsion. The transition property obtained by numerical calculations of the OPDM is deeply understood by studying a solvable model in which local integrals of motion (LIOMs) are obtained explicitly. The present work clarifies the utility of the OPDM and also how compact-support LIOMs in non-interacting limit are deformed by the repulsion. Comment: 8 pages, 8 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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