Phase diagram of a one-dimensional Ising model with an anomalous Z₂ symmetry

2022/11/10 by Jin-Xiang Hao, Wei Li, Hao, Jin-Xiang +3
Physics and Astronomy · #FOS: Physical sciences #Quantum many-body systems #Statistical Mechanics and Entropy #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2211.05618

openalex publication_date 2022/11/10 · openalex created_date 2022/11/16 · openalex updated_date 2026/07/28

Abstract

Anomalous global symmetries, which can be realized on the boundary of symmetry-protected topological phases, bring\wlxs new phases and phase transitions to condensed matter physics. In this work, we study a one-dimensional model with an anomalous \mathbb Z₂ symmetry, using the density-matrix renormalization group method. Besides a symmetry-breaking ferromagnetic phase, we find a gapless phase described by the Tomonaga-Luttinger Liquid theory with the central charge c=1. Our numerical finding is compatible of theoretical constraints on possible phases resulting from the symmetry anomaly.

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