Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators

Fuente: arXiv
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Autores principales: Wan, Yu-Hao, Sun, Qing-Feng
Formato: Preprint
Publicado: 2024
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author Wan, Yu-Hao
Sun, Qing-Feng
author_facet Wan, Yu-Hao
Sun, Qing-Feng
contents From the low-energy model, the topological field theory indicates that the surface magnetization can open a surface gap in 3D topological insulators (TIs), resulting in a half-quantized Hall conductance. Here by employing the realistic lattice model, we show the occurrence of { the surface phase transitions}, accompanied with the sharp changes of the surface Chern number from $\frac{1}{2}$ to $-\frac{3}{2}$ finally to $-\frac{1}{2}$, in 3D TIs induced by surface magnetization. These surface phase transitions lead to the sudden jumps in the magneto-electric coefficient and the quantum Hall conductance, which are experimentally observable. Furthermore, we present the phase diagram that elucidates the behavior of the 3D TI surface Chern numbers under surface magnetization for different $Z_{4}$ topological numbers. Our study highlights the presence of the new phases with broken bulk-boundary correspondence and enriches understandings of the properties of TIs.
format Preprint
id arxiv_https___arxiv_org_abs_2410_21684
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators
Wan, Yu-Hao
Sun, Qing-Feng
Mesoscale and Nanoscale Physics
From the low-energy model, the topological field theory indicates that the surface magnetization can open a surface gap in 3D topological insulators (TIs), resulting in a half-quantized Hall conductance. Here by employing the realistic lattice model, we show the occurrence of { the surface phase transitions}, accompanied with the sharp changes of the surface Chern number from $\frac{1}{2}$ to $-\frac{3}{2}$ finally to $-\frac{1}{2}$, in 3D TIs induced by surface magnetization. These surface phase transitions lead to the sudden jumps in the magneto-electric coefficient and the quantum Hall conductance, which are experimentally observable. Furthermore, we present the phase diagram that elucidates the behavior of the 3D TI surface Chern numbers under surface magnetization for different $Z_{4}$ topological numbers. Our study highlights the presence of the new phases with broken bulk-boundary correspondence and enriches understandings of the properties of TIs.
title Magnetization-Induced Phase Transitions on the surface of 3D Topological Insulators
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2410.21684