Iyer, S. and Pekker, D. and Refael, G. (2012) Mott glass to superfluid transition for random bosons in two dimensions. Physical Review B, 85 (9). Art. No. 094202. ISSN 1098-0121 http://resolver.caltech.edu/CaltechAUTHORS:20120406-125838850
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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 a percolation-type process. Finally, we provide estimates of the critical exponents governing this transition.
|Additional Information:||© 2012 American Physical Society. Received 1 November 2011; published 14 March 2012. It is our pleasure to acknowledge useful discussions with A. Akhmerov, E. Altman, R. Bhatt, F. Crépin, T. Giamarchi, W. Hofstetter, D. Huse, J. Moore, O. Motrunich, A. Polkovnikov, N. Prokof’ev, S. Raghu, B. Svistunov, N. Trivedi, and A. Turner. We particularly thank B. Clark for pointing out how to estimate errors on the critical exponents that we obtain from scaling collapse and an anonymous referee for helpful comments on sources of error to incorporate into our estimates. S.I. would like to acknowledge R. Dondero for helpful suggestions for resolving problems with the RG code. S.I. 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. S.I. and D.P. 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.D.P. acknowledges financial support by the Lee A. DuBridge Fellowship, and G.R. acknowledges support from the Packard Foundation.|
|Group:||Institute for Quantum Information and Matter, IQIM|
|Classification Code:||PACS: 74.81.-g, 05.30.Jp|
|Usage Policy:||No commercial reproduction, distribution, display or performance rights in this work are provided.|
|Deposited By:||Tony Diaz|
|Deposited On:||10 Apr 2012 21:50|
|Last Modified:||26 Dec 2012 15:02|
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