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Quantum Monte Carlo study of topological phases on a spin analogue of Benalcazar-Bernevig-Hughes model

by Jiaojiao Guo, Junsong Sun, Xingchuan Zhu, Chang-An Li, Huaiming Guo, Shiping Feng

Submission summary

As Contributors: Huaiming Guo
Preprint link: scipost_202104_00003v1
Date submitted: 2021-04-02 13:06
Submitted by: Guo, Huaiming
Submitted to: SciPost Physics
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
Approaches: Theoretical, Computational

Abstract

We study the higher-order topological spin phases based on a spin analogue of Benalcazar-Bernevig-Hughes model in two dimensions using large-scale quantum Monte Carlo simulations. A continuous N\'eel-valence bond solid quantum phase transition is revealed by tuning the ratio between dimerized spin couplings, namely, the weak and strong exchange couplings. Through the finite-size scaling analysis, we identify the phase critical points, and consequently, map out the full phase diagrams in related parameter spaces. Particularly, we find that the valence bond solid phase can be a higher-order topological spin phase, which has a gap for spin excitations in the bulk while demonstrates characteristic gapless spin modes at corners of open lattices. We further discuss the connection between the higher-order topological spin phases and the electronic correlated higher-order phases, and find both of them possess gapless spin corner modes that are protected by higher-order topology. Our result exemplifies higher-order physics in the correlated spin systems and will contribute to further understandings of the many-body higher-order topological phenomena.

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Submission scipost_202104_00003v1 on 2 April 2021

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