{ "id": "cond-mat/0302063", "version": "v2", "published": "2003-02-04T18:16:25.000Z", "updated": "2003-08-02T06:44:26.000Z", "title": "Dynamical symmetry breaking as the origin of the zero-$dc$-resistance state in an $ac$-driven system", "authors": [ "A. V. Andreev", "I. L. Aleiner", "A. J. Millis" ], "comment": "Published version", "journal": "Phys. Rev. Lett., 91, 056803 (2003)", "doi": "10.1103/PhysRevLett.91.056803", "categories": [ "cond-mat.mes-hall" ], "abstract": "Under a strong $ac$ drive the zero-frequency linear response dissipative resistivity $\\rho_{d}(j=0)$ 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 $\\rho_{d}(j=0)<0$ is characterized by a current which almost everywhere has a magnitude $j_{0}$ fixed by the condition that the nonlinear dissipative resistivity $\\rho_{d}(j_{0}^{2})=0$. 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 $\\rho_{d}(j=0)<0$, explains the zero-resistance state observed by Mani \\emph{et. al.} and Zudov \\emph{et. al.}.", "revisions": [ { "version": "v2", "updated": "2003-08-02T06:44:26.000Z" } ], "analyses": { "keywords": [ "dynamical symmetry breaking", "resistance state", "driven system", "zero-frequency linear response dissipative resistivity", "dissipative component" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. Lett." }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }