Chern numbers in two-dimensional systems with spiral boundary conditions

被引：0

作者：

Nakamura, Masaaki ^{[1
]}

Masuda, Shohei ^{[1
]}

机构：

[1] Ehime Univ, Dept Phys, Bunkyo Cho 2-5, Matsuyama, Ehime 7908577, Japan

来源：

PHYSICAL REVIEW B | 2024年 / 110卷 / 07期

关键词：

QUANTIZED HALL CONDUCTANCE; LUTTINGERS THEOREM; SPIN; PHASE; SOLITONS; GAP;

D O I：

10.1103/PhysRevB.110.075144

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We discuss methods for calculating Chern numbers of two-dimensional lattice systems using spiral boundary conditions, which sweep all lattice sites in one-dimensional order. Specifically, we establish the one-dimensional representation of Fukui-Hatsugai-Suzuki's method, based on lattice gauge theory, and the Coh-Vanderbilt's method, which relates to electronic polarization. The essential point of this discussion is that the insertion of flux into the extended one-dimensional chain generates an effective current in the perpendicular direction. These methods are valuable not only for a unified understanding of topological physics in different dimensions but also for numerical calculations.

引用

页数：10

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