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Breakdown of self-averaging in the Bose glass

Hegg, A; Krüger, F; Phillips, PW; (2013) Breakdown of self-averaging in the Bose glass. Physical Review B , 88 (13) , Article 134206. 10.1103/PhysRevB.88.134206.

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Abstract

We study the square-lattice Bose-Hubbard model with bounded random on-site energies at zero temperature. Starting from a dual representation obtained from a strong-coupling expansion around the atomic limit, we employ a real-space block decimation scheme. This approach is nonperturbative in the disorder and enables us to study the renormalization-group flow of the induced random-mass distribution. In both insulating phases, the Mott insulator and the Bose glass, the average mass diverges, signaling short range superfluid correlations. The relative variance of the mass distribution distinguishes the two phases, renormalizing to zero in the Mott insulator and diverging in the Bose glass. Negative mass values in the tail of the distribution indicate the presence of rare superfluid regions in the Bose glass. The breakdown of self-averaging is evidenced by the divergent relative variance and increasingly non-Gaussian distributions. We determine an explicit phase boundary between the Mott insulator and Bose glass.

Type: Article
Title: Breakdown of self-averaging in the Bose glass
DOI: 10.1103/PhysRevB.88.134206
Publisher version: http://dx.doi.org/10.1103/PhysRevB.88.134206
Language: English
Additional information: Copyright © 2013 American Physical Society.
UCL classification: UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology
URI: http://discovery.ucl.ac.uk/id/eprint/1450163
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