Magnetic field inversion symmetry in quantum pumps with discrete symmetries

TL;DR

This paper explores how discrete symmetries affect magnetic field inversion symmetry in quantum pumps, revealing specific current symmetries and comparing adiabatic limit results with Brouwer's formula.

Contribution

It introduces a Floquet scattering matrix approach to analyze symmetry-dependent pumped current behaviors in quantum pumps.

Findings

Pumped currents exhibit symmetries $I(B,) = -I(-B,-)$ and $I(B,) = I(-B,-)$ depending on symmetry.

Comparison of adiabatic limit results with Brouwer's formula shows consistency.

The study clarifies the role of discrete symmetries in quantum pump current properties.

Abstract

We investigate the magnetic field inversion symmetry of the pumped currents in quantum pumps with various discrete symmetries using Floquet scattering matrix approach. We found the pumped currents can have symmetries $I(B,\phi) = -I(-B,-\phi)$ and $I(B,\phi) = I(-B,-\phi)$, where $\phi$ is the phase difference of two time dependent perturbations, depending on the discrete symmetry considered. The results in the adiabatic limit for each discrete symmetry are compared with those of Brouwer's formula.