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Dynamical symmetry breaking as the origin of the zero-$dc$-resistance state in an $ac$-driven system

A. V. Andreev·I. L. Aleiner·A. J. Millis
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Abstract

Under a strong $ac$ drive the zero-frequency linear response dissipative resistivity $ρ_{d}(j=0)$ of a homogeneous state is allowed to become negative. We show that such a state is absolutely unstable. The only time-independent state of a system with a $ρ_{d}(j=0)<0$ is characterized by a current which almost everywhere has a magnitude $j_{0}$ fixed by the condition that the nonlinear dissipative resistivity $ρ_{d}(j_{0}^{2})=0$. As a result, the dissipative component of the $dc$ electric field vanishes. The total current may be varied by rearranging the current pattern appropriately with the dissipative component of the $dc$-electric field remaining zero. This result, together with the calculation of Durst \emph{et. al.}, indicating the existence of regimes of applied $ac$ microwave field and $dc$ magnetic field where $ρ_{d}(j=0)<0$, explains the zero-resistance state observed by Mani \emph{et. al.} and Zudov \emph{et. al.}.

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A. V. Andreev, I. L. Aleiner, A. J. Millis. 2003-08-02. Dynamical symmetry breaking as the origin of the zero-$dc$-resistance state in an $ac$-driven system. https://doi.org/10.1103/physrevlett.91.056803

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