Dependence of the charge transport in tilted chains on the choice of two-body interaction
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929517449183232 |
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| author | Krajewski, Bartosz Mierzejewski, Marcin |
| author_facet | Krajewski, Bartosz Mierzejewski, Marcin |
| contents | We study tilted chains of spinless fermions in the presence of the nearest-neighbor density-density interaction for which the noninteracting counterpart displays Stark localization. We demonstrate that the latter two-body interaction can be decomposed into two (orthogonal) parts which, respectively, commute and do not commute with the single-particle Hamiltonian. We derive an explicit form of the noncommuting part that decreases with tilt and describes the nearest-neighbor correlated hopping and the pair-hopping interaction. When the density-density coupling is replaced by the pair-hopping interaction of the same magnitude then the charge dynamics may be faster by a few orders of magnitude than in the original model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18484 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Dependence of the charge transport in tilted chains on the choice of two-body interaction Krajewski, Bartosz Mierzejewski, Marcin Strongly Correlated Electrons Statistical Mechanics We study tilted chains of spinless fermions in the presence of the nearest-neighbor density-density interaction for which the noninteracting counterpart displays Stark localization. We demonstrate that the latter two-body interaction can be decomposed into two (orthogonal) parts which, respectively, commute and do not commute with the single-particle Hamiltonian. We derive an explicit form of the noncommuting part that decreases with tilt and describes the nearest-neighbor correlated hopping and the pair-hopping interaction. When the density-density coupling is replaced by the pair-hopping interaction of the same magnitude then the charge dynamics may be faster by a few orders of magnitude than in the original model. |
| title | Dependence of the charge transport in tilted chains on the choice of two-body interaction |
| topic | Strongly Correlated Electrons Statistical Mechanics |
| url | https://arxiv.org/abs/2409.18484 |