Linear Response of Zero-Resistance States

TL;DR

This paper explores the response behavior of zero-resistance states in two-dimensional electron systems under magnetic fields and microwave irradiation, proposing a new model where the domain pattern remains fixed and analyzing its implications.

Contribution

It introduces an alternative response scenario for zero-resistance states with fixed domain patterns, contrasting with the traditional domain-shifting model, and provides numerical simulations of these behaviors.

Findings

Fixed domain pattern does not destroy zero resistance if resistance is direction independent.

Direction dependence of resistance can lead to dissipative domain states.

Numerical simulations illustrate different response behaviors based on domain symmetry.

Abstract

A two-dimensional electron system in the presence of a magnetic field and microwave irradiation can undergo a phase transition towards a zero-resistance state. A widely used model predicts the zero-resistance state to be a domain state, which responds to applied dc voltages or dc currents by slightly changing the domain structure. Here we propose an alternative response scenario, according to which the domain pattern remains unchanged. Surprisingly, a fixed domain pattern does not destroy zero resistance, provided that the resistance is direction independent. Otherwise, if the symmetry of the domain pattern allows a direction dependence of the resistance, the domain state can be dissipative. We give examples for both situations and simulate the response behavior numerically.