Chiral voltage propagation in a self-calibrated topolectrical Chern circuit

2018/09/30 by Tobias Hofmann, Tobias Helbig, Ching Hua Lee +2 · 2 citations
Physics and Astronomy · #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevlett.122.247702

published as Phys. Rev. Lett. 122, 247702 (2019) · 11 pages double column style, 6 figures; further material added to previous version

arxiv created 2018/10/07 · arxiv updated 2019/06/26

Abstract

We propose an electric circuit array with topologically protected uni-directional voltage modes at its boundary. Instead of external bias fields or floquet engineering, we employ negative impedance converters with current inversion (INICs) to accomplish a non-reciprocal, time-reversal symmetry broken electronic network we call topolectrical Chern circuit (TCC). The TCC features an admittance bulk gap fully tunable via the resistors used in the INICs, along with a chiral voltage boundary mode reminiscent of the Berry flux monopole present in the admittance band structure. The active circuit elements in the TCC can be calibrated to compensate for dissipative loss.

Cited by

• Higher-order topological bound states in the continuum in a topoelectrical lattice with long-range coupling
• Nonlinear topological edge states, topological gap solitons, and self-induced topological edge states in nonlinear Su-Schrieffer-Heeger circuit lattices