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Transition to zero resistance in a two-dimensional electron gas driven with microwaves

Alicea, Jason and Balents, Leon and Fisher, Matthew P. A. and Paramekanti, Arun and Radzihovsky, Leo (2005) Transition to zero resistance in a two-dimensional electron gas driven with microwaves. Physical Review B, 71 (23). Art. No. 235322. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:20200225-123359397

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Abstract

High-mobility two-dimensional electron systems in a perpendicular magnetic field exhibit zero-resistance states (ZRSs) when driven with microwave radiation. We study the nonequilibrium phase transition into the ZRS using phenomenological equations of motion to describe the electron current and density fluctuations in the presence of a magnetic field. We focus on two models to describe the transition into a time-independent steady state. In model I the equations of motion are invariant under a global uniform change in the density. This model is argued to describe physics on small length scales where the density does not vary appreciably from its mean. The ordered state that arises in this case spontaneously breaks rotational invariance in the plane and consists of a uniform current and a transverse Hall field. We discuss some properties of this state, such as stability to fluctuations and the appearance of a Goldstone mode associated with the continuous symmetry breaking. Using dynamical renormalization group techniques, we find that with short-range interactions this model can admit a continuous transition described by mean-field theory, whereas with long-range interactions the transition is driven first order. In model II, we relax the invariance under global density shifts as appropriate for describing the system on longer length scales, and in this case we predict a first-order transition with either short- or long-range interactions. We discuss implications for experiments, including a possible way to detect the Goldstone mode in the ZRS, scaling relations expected to hold in the case of an apparent continuous transition into the ZRS, and a possible signature of a first-order transition in larger samples. Our framework for describing the phase transition into the ZRS also highlights the connection of this problem to the well-studied phenomenon of “bird flocking.”


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevb.71.235322DOIArticle
https://arxiv.org/abs/cond-mat/0408661arXivDiscussion Paper
ORCID:
AuthorORCID
Alicea, Jason0000-0001-9979-3423
Radzihovsky, Leo0000-0002-2281-0835
Additional Information:© 2005 American Physical Society. (Received 3 May 2006; published 23 August 2006) The authors gratefully acknowledge Michael Cross, Jim Eisenstein, Matt Foster, Hsiu-Hau Lin, R. G. Mani, and R. Rajesh for useful discussions. This work was supported by the National Science Foundation (J.A.) and Grants No. DMR-9985255 (L.B. and A.P.), No. PHY-9907949 (A.P. and M.P.A.F.), No. DMR-0210790 (M.P.A.F.), and No. DMR-0321848 (L.R.). We also acknowledge funding from the Packard Foundation (L.B., A.P., and L.R.) and the Alfred P. Sloan Foundation (L.B. and A.P.).
Funders:
Funding AgencyGrant Number
NSFDMR-9985255
NSFPHY-9907949
NSFDMR-0210790
NSFDMR-0321848
David and Lucile Packard FoundationUNSPECIFIED
Alfred P. Sloan FoundationUNSPECIFIED
Issue or Number:23
Classification Code:PACS numbers: 73.40.-c, 73.43.-f, 64.60.Cn
Record Number:CaltechAUTHORS:20200225-123359397
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200225-123359397
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101541
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:26 Feb 2020 17:05
Last Modified:09 Mar 2020 13:18

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