Topological Properties of Linear Circuit Lattices

被引:265
作者
Albert, Victor V. [1 ]
Glazman, Leonid I.
Jiang, Liang
机构
[1] Yale Univ, Dept Appl Phys, New Haven, CT 06520 USA
基金
美国国家科学基金会;
关键词
LANDAU-LEVELS; FIELD;
D O I
10.1103/PhysRevLett.114.173902
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Motivated by the topologically insulating circuit of capacitors and inductors proposed and tested by Jia et al. [arXiv: 1309.0878], we present a related circuit with fewer elements per site. The normal mode frequency matrix of our circuit is unitarily equivalent to the hopping matrix of a quantum spin Hall insulator, and we identify perturbations that do not backscatter the circuit's edge modes. The idea behind these models is generalized, providing a platform to simulate tunable and locally accessible lattices with arbitrary complex spin-dependent hopping of any range. A simulation of a non-Abelian Aharonov-Bohm effect using such linear circuit designs is discussed.
引用
收藏
页数:6
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