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

doi:10.1103/PhysRevLett.91.056803

paper

Dynamical symmetry breaking as the origin of the zero- $d c$ -resistance state in an $a c$ -driven system

arXiv:cond-mat/0302063 · doi:10.1103/PhysRevLett.91.056803

Abstract

Under a strong $a c$ 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 $d c$ electric field vanishes. The total current may be varied by rearranging the current pattern appropriately with the dissipative component of the $d c$ -electric field remaining zero. This result, together with the calculation of Durst \emph{et. al.}, indicating the existence of regimes of applied $a c$ microwave field and $d c$ 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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Dynamical symmetry breaking as the origin of the zero-dc-resistance state in an ac-driven system

Abstract

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Dynamical symmetry breaking as the origin of the zero- $d c$ -resistance state in an $a c$ -driven system