Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interactions

The study of symmetry-protected topological states in the presence of electron correlations has recently aroused great interest as rich and exotic phenomena can emerge. Here we report a concrete example by employing a large-scale unbiased quantum Monte Carlo study of the Kane-Mele model with cluster...

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Main Authors: Chen Peng, Rong-Qiang He, Yuan-Yao He, Zhong-Yi Lu
Format: Article
Language:English
Published: American Physical Society 2020-08-01
Series:Physical Review Research
Online Access:http://doi.org/10.1103/PhysRevResearch.2.033291
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author Chen Peng
Rong-Qiang He
Yuan-Yao He
Zhong-Yi Lu
author_facet Chen Peng
Rong-Qiang He
Yuan-Yao He
Zhong-Yi Lu
author_sort Chen Peng
collection DOAJ
description The study of symmetry-protected topological states in the presence of electron correlations has recently aroused great interest as rich and exotic phenomena can emerge. Here we report a concrete example by employing a large-scale unbiased quantum Monte Carlo study of the Kane-Mele model with cluster charge interactions. The ground-state phase diagram for the model at half filling is established. Our simulation identifies the coexistence of a symmetry-protected topological order with a symmetry-breaking Kekulé valence bond order and shows that the spontaneous symmetry breaking is accompanied by an interaction-driven topological phase transition (TPT). This TPT features the appearance of zeros of a single-particle Green's function and gap closing in a spin channel rather than a single-particle excitation spectrum and thus has no mean-field correspondence.
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spelling doaj.art-5f5b961e0fe149e89c2aebaef3bc6ac52024-04-12T16:59:21ZengAmerican Physical SocietyPhysical Review Research2643-15642020-08-012303329110.1103/PhysRevResearch.2.033291Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interactionsChen PengRong-Qiang HeYuan-Yao HeZhong-Yi LuThe study of symmetry-protected topological states in the presence of electron correlations has recently aroused great interest as rich and exotic phenomena can emerge. Here we report a concrete example by employing a large-scale unbiased quantum Monte Carlo study of the Kane-Mele model with cluster charge interactions. The ground-state phase diagram for the model at half filling is established. Our simulation identifies the coexistence of a symmetry-protected topological order with a symmetry-breaking Kekulé valence bond order and shows that the spontaneous symmetry breaking is accompanied by an interaction-driven topological phase transition (TPT). This TPT features the appearance of zeros of a single-particle Green's function and gap closing in a spin channel rather than a single-particle excitation spectrum and thus has no mean-field correspondence.http://doi.org/10.1103/PhysRevResearch.2.033291
spellingShingle Chen Peng
Rong-Qiang He
Yuan-Yao He
Zhong-Yi Lu
Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interactions
Physical Review Research
title Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interactions
title_full Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interactions
title_fullStr Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interactions
title_full_unstemmed Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interactions
title_short Combined spontaneous symmetry-breaking and symmetry-protected topological order from cluster charge interactions
title_sort combined spontaneous symmetry breaking and symmetry protected topological order from cluster charge interactions
url http://doi.org/10.1103/PhysRevResearch.2.033291
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