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Topological properties of linear circuit lattices
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Motivated by the topologically insulating (TI) circuit of capacitors and inductors proposed and tested in arXiv:1309.0878, we present a related circuit with less elements per site. The normal mode frequency matrix of our circuit is unitarily equivalent to the hopping matrix of a quantum spin Hall insulator (QSHI) 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.
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Cited by 1 Pith paper
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Electric Circuit Realizations of Fracton Physics
Networks of capacitors connected by ideal transformers conserve dipole moment, making electric charge immobile like fractons, with a linear steady-state charge profile.
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