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Albert, Victor V; Glazman, Leonid I; Jiang, Liang
Physical review letters, 2015-May-01, Letnik: 114, Številka: 17Journal Article
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.
