Insulating Phases and Superfluid-Insulator Transition of Disordered Boson Chains
Abstract
Using a strong disorder real-space renormalization group, we study the phase diagram of a fully disordered chain of interacting bosons. Since this approach does not suffer from runaway flows, it allows a direct study of the insulating phases, not accessible in a weak disorder perturbative treatment. We find that the universal properties of the insulating phase are determined by the details and symmetries of the on-site chemical-potential disorder. Three insulating phases are possible: (i) an incompressible Mott glass with a finite superfluid susceptibility, (ii) a random-singlet glass with diverging compressibility and superfluid susceptibility, (iii) a Bose glass with a finite compressibility but diverging superfluid susceptibility. In addition to characterizing the insulating phases, we show that the superfluid-insulator transition is always described by Kosterlitz-Thouless-like flows.
Additional Information
©2008 The American Physical Society. (Received 23 November 2007; revised 28 January 2008; published 1 May 2008) We thank S. Girvin for suggesting considering the half-integer case. We also acknowledge T. Giamarchi, P. LeDoussal, O. Motrunich, N. Prokofe'v, and B. Svistunov for numerous discussions. A.P.'s research was supported by AFOSR YIP, Y.K. and G.R. acknowledge Boston University visitors program's hospitality. Y.K. and E.A. thank the ISF and BSF for support.Files
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Additional details
- Eprint ID
- 10397
- Resolver ID
- CaltechAUTHORS:ALTprl08
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2008-05-02Created from EPrint's datestamp field
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2021-11-08Created from EPrint's last_modified field