Chiral voltage propagation in a self-calibrated topolectrical Chern circuit

TL;DR

This paper introduces a topolectrical Chern circuit (TCC) with topologically protected, unidirectional voltage modes at its boundary, achieved through negative impedance converters, tunable admittance gaps, and active calibration to counteract losses.

Contribution

It presents a novel circuit design employing INICs to realize topologically protected boundary modes without external bias or Floquet engineering.

Findings

Demonstrates tunable admittance bulk gap via resistors in INICs.

Shows the existence of chiral voltage boundary modes.

Active calibration compensates for circuit dissipation.

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.