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Simulation results for an interacting pair of resistively shunted Josephson junctions

Werner, Philipp and Refael, Gil and Troyer, Matthias (2005) Simulation results for an interacting pair of resistively shunted Josephson junctions. Journal of Statistical Mechanics: Theory and Experiment, 2005 (12). P12003. ISSN 1742-5468. doi:10.1088/1742-5468/2005/12/P12003.

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Using a new cluster Monte Carlo algorithm, we study the phase diagram and critical properties of an interacting pair of resistively shunted Josephson junctions. This system models tunnelling between two electrodes through a small superconducting grain, and is described by a double sine-Gordon model. In accordance with theoretical predictions, we observe three different phases and crossover effects arising from an intermediate coupling fixed point. On the superconductor-to-metal phase boundary, the observed critical behaviour is within error-bars the same as in a single junction, with identical values of the critical resistance and a correlation function exponent which depends only on the strength of the Josephson coupling. We explain these critical properties on the basis of a renormalization group (RG) calculation. In addition, we propose an alternative new mean-field theory for this transition, which correctly predicts the location of the phase boundary at intermediate Josephson coupling strength.

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Werner, Philipp0000-0002-2136-6568
Additional Information:Copyright © Institute of Physics and IOP Publishing Limited 2005. Received 11 August 2005, accepted for publication 2 November 2005. Published 5 December 2005. We acknowledge support by the Swiss National Science Foundation and NSF grant PHY99-07949, as well as helpful discussions with S Chakravarty, E Demler and D Fisher. Part of this work was completed at the Kavli Institute for Theoretical Physics, UCSB. We are also grateful for the hospitality of the Aspen Institute of Physics. The calculations have been performed on the Asgard and Hreidar Beowulf clusters at ETH Z¨urich, using the ALPS library [18]. E-print number: cond-mat/0508163
Subject Keywords:dissipative systems (theory), quantum Monte Carlo simulations, quantum phase transitions (theory)
Issue or Number:12
Record Number:CaltechAUTHORS:WERjsmte05
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7128
Deposited By: Archive Administrator
Deposited On:09 Jan 2007
Last Modified:08 Nov 2021 20:39

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