Networks of capacitors connected by ideal transformers conserve dipole moment, making electric charge immobile like fractons, with a linear steady-state charge profile.
Chiral voltage propagation in a self-calibrated topolectrical Chern circuit
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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.
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cond-mat.str-el 1years
2019 1verdicts
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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.