Related papers: Quasi-local Frustration-Free Free Fermions

Quasi-local Frustration-Free Free Fermions

URL: http://arxiv.org/abs/2505.01010v1
Date: Fri, 02 May 2025 05:20:48 GMT
Title: Quasi-local Frustration-Free Free Fermions
Authors: Shunsuke Sengoku, Hoi Chun Po, Haruki Watanabe,
Abstract summary: We build gapped frustration-free systems that realize Chern insulators and quasi-degenerate ground states with finite-size splittings.<n>These findings serve as an important step toward clarifying the general properties of frustration-free systems.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: 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.

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