title: Topological properties of linear circuit lattices.
abstract: 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.
authors.affiliation: Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
authors.forename: Victor V
authors.initials: VV
authors.lastname: Albert
authors.affiliation: Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
authors.forename: Leonid I
authors.initials: LI
authors.lastname: Glazman
authors.affiliation: Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
authors.forename: Liang
authors.initials: L
authors.lastname: Jiang