Transport equation for 2D electron liquid under microwave radiation plus magnetic field and the Zero Resistance State

TL;DR

This paper develops a transport equation for 2D electron liquids under magnetic fields and microwave radiation, explaining the experimentally observed Zero Resistance State through spontaneous AC currents.

Contribution

It introduces a general transport equation for the center of mass motion and applies it to explain the Radiation-Induced Zero Resistance State in 2D electron systems.

Findings

Negative resistance instability occurs under strong microwave radiation.

Spontaneous AC currents can explain the Zero Resistance State.

The model aligns with experimental observations.

Abstract

A general transport equation for the center of mass motion is constructed to study transports of electronic system under uniform magnetic field and microwave radiation. The equation is applied to study 2D electron system in the limit of weak disorder where negative resistance instability is observed when the radiation field is strong enough. A solution of the transport equation with spontaneous AC current is proposed to explain the experimentally observed Radiation-Induced Zero Resistance State.