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A Mott Glass to Superfluid Transition for Random Bosons in Two Dimensions

Iyer, S. and Pekker, D. and Refael, G. (2011) A Mott Glass to Superfluid Transition for Random Bosons in Two Dimensions. California Institute of Technology , Pasadena, CA. http://resolver.caltech.edu/CaltechAUTHORS:20111031-090402654

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Abstract

We study the zero temperature superfluid-insulator transition for a two-dimensional model of interacting, lattice bosons in the presence of quenched disorder and particle-hole symmetry. We follow the approach of a recent series of papers by Altman, Kafri, Polkovnikov, and Refael, in which the strong disorder renormalization group is used to study disordered bosons in one dimension. Adapting this method to two dimensions, we study several different species of disorder and uncover universal features of the superfluid-insulator transition. In particular, we locate an unstable finite disorder fixed point that governs the transition between the superfluid and a gapless, glassy insulator. We present numerical evidence that this glassy phase is the incompressible Mott glass and that the transition from this phase to the superfluid is driven by percolation-type process. Finally, we provide estimates of the critical exponents governing this transition.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1110.3338arXivUNSPECIFIED
Additional Information:Dated: October 18, 2011. It is our pleasure to acknowledge useful discussions with Anton Akhmerov, Ravin Bhatt, François Crépin, David Huse, Joel Moore, Nikolai Prokof'ev, Srinivas Raghu, Boris Svistunov, Nandini Trivedi, and Ari Turner. We particularly thank Olexei Motrunich for computer time and Bryan Clark for pointing out how to estimate errors on the critical exponents that we obtain from scaling collapse. SI would like to acknowledge Robert Dondero for helpful suggestions for resolving problems with the RG code. SI would also like to express gratitude to the organizers of the 2010 Boulder School for Condensed Matter and Materials Physics, the 2011 Cargèse School on Disordered Systems, and the 2011 Princeton Summer School for Condensed Matter Physics. SI and DP both thank the 2010 International Centre for Theoretical Sciences school in Mysore. This material is based upon work supported, in part, by the National Science Foundation under Grant No. 1066293 and the hospitality of the Aspen Center for Physics. DP acknowledges financial support by the Lee A. DuBridge Fellowship, and GR acknowledges support from the Packard Foundation.
Funders:
Funding AgencyGrant Number
NSF1066293
Lee A. DuBridge FellowshipUNSPECIFIED
Packard FoundationUNSPECIFIED
Subject Keywords:Disordered Systems and Neural Networks (cond-mat.dis-nn); Superconductivity (cond-mat.supr-con)
Record Number:CaltechAUTHORS:20111031-090402654
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20111031-090402654
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27512
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 Nov 2011 00:08
Last Modified:26 Dec 2012 14:20

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