Networks of capacitors connected by ideal transformers conserve dipole moment, making electric charge immobile like fractons, with a linear steady-state charge profile.
Topological properties of linear circuit lattices
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
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.
fields
cond-mat.str-el 1years
2019 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
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.