Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model

• URL: http://arxiv.org/abs/2208.00390v2
• Date: Fri, 5 Aug 2022 14:19:30 GMT
• Title: Exploring interacting topological insulator of extended Su-Schrieffer-Heeger model
• Authors: Xiaofan Zhou, Jian-Song Pan and Suotang Jia
• Abstract summary: We investigate many-body topological physics of interacting fermions in an extended Su-Schrieffer-Heeger model. The interaction-driven phase transition from topological insulator to charge density wave (CDW) phase can be identified. The models analyzed here can be implemented with ultracold atoms on optical superlattices.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: Exploring topological phases in interacting systems is a challenging task. We investigate many-body topological physics of interacting fermions in an extended Su-Schrieffer-Heeger (SSH) model, which extends the two sublattices of SSH model into four sublattices and thus is dubbed SSH4 model, based on the density-matrix renormalization-group numerical method. The interaction-driven phase transition from topological insulator to charge density wave (CDW) phase can be identified by analyzing the variations of entanglement spectrum, entanglement entropies, energy gaps, and CDW order parameter. We map the global phase diagram of the many-body ground state, which contains nontrivial topological insulator, trivial insulator and CDW phases, respectively. In contrast to interacting SSH model, in which the phase transitions to the CDW phase are argued to be first-order phase transitions, the phase transitions between the CDW phase and topologically trivial/nontrivial phases are shown to be continuous phase transitions. Finally, we {also} show the phase diagram of interacting spinful SSH4 model, where the attractive (repulsive) on-site spin interaction amplifies (suppresses) the CDW phase. The models analyzed here can be implemented with ultracold atoms on optical superlattices.

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