Quasi-local Frustration-Free Free Fermions
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909851482849280 |
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| author | Sengoku, Shunsuke Po, Hoi Chun Watanabe, Haruki |
| author_facet | Sengoku, Shunsuke Po, Hoi Chun Watanabe, Haruki |
| contents | Recent studies have revealed that frustration-free models, expressed as sums of finite-range interactions or hoppings, exhibit several properties markedly different from those of frustrated models. In this work, we demonstrate that, by relaxing the finite-range condition to allow for exponentially decaying hoppings, one can build gapped frustration-free systems that realize Chern insulators as well as quasi-degenerate ground states with finite-size splittings. Moreover, by permitting power-law decaying hoppings, we also construct a gapless band metal whose finite-size gap scales inversely with the system size $L$. These findings serve as an important step toward clarifying the general properties of frustration-free systems and those represented by tensor network states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_01010 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasi-local Frustration-Free Free Fermions Sengoku, Shunsuke Po, Hoi Chun Watanabe, Haruki Strongly Correlated Electrons Other Condensed Matter Statistical Mechanics Quantum Physics Recent studies have revealed that frustration-free models, expressed as sums of finite-range interactions or hoppings, exhibit several properties markedly different from those of frustrated models. In this work, we demonstrate that, by relaxing the finite-range condition to allow for exponentially decaying hoppings, one can build gapped frustration-free systems that realize Chern insulators as well as quasi-degenerate ground states with finite-size splittings. Moreover, by permitting power-law decaying hoppings, we also construct a gapless band metal whose finite-size gap scales inversely with the system size $L$. These findings serve as an important step toward clarifying the general properties of frustration-free systems and those represented by tensor network states. |
| title | Quasi-local Frustration-Free Free Fermions |
| topic | Strongly Correlated Electrons Other Condensed Matter Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2505.01010 |