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Anomalous suppression of the Bose glass at commensurate fillings in the disordered Bose-Hubbard model

Krüger, F; Wu, J; Phillips, P; (2009) Anomalous suppression of the Bose glass at commensurate fillings in the disordered Bose-Hubbard model. Physical Review B , 80 (9) , Article 094526. 10.1103/PhysRevB.80.094526.

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Abstract

We study the weakly disordered Bose-Hubbard model on a cubic lattice through a one-loop renormalization-group analysis of the corresponding effective-field theory which is explicitly derived by combining a strong-coupling expansion with a replica average over the disorder. The method is applied not only to generic uncorrelated on-site disorder but also to simultaneous hopping-disorder correlated with the differences of adjacent disorder potentials. Such correlations are inherent in fine-grained optical speckle potentials used as a source of disorder in optical lattice experiments. As a result of strong coupling, the strength of the replica-mixing disorder vertex, responsible for the emergence of a Bose glass, crucially depends on the chemical potential and the Hubbard repulsion and vanishes to leading order in the disorder at commensurate boson fillings. As a consequence, at such fillings a direct transition between the Mott insulator and the superfluid in the presence of disorder cannot be excluded on the basis of a one-loop calculation. At incommensurate fillings, at a certain length scale, the Mott insulator will eventually become unstable toward the formation of a Bose glass. Phase diagrams as a function of the microscopic parameters are presented and the finite-size crossover between the Mott-insulating state and the Bose glass is analyzed.

Type: Article
Title: Anomalous suppression of the Bose glass at commensurate fillings in the disordered Bose-Hubbard model
DOI: 10.1103/PhysRevB.80.094526
Publisher version: http://dx.doi.org/10.1103/PhysRevB.80.094526
Language: English
Additional information: Copyright © 2009 The American Physical Society.
Keywords: boson systems, chemical potential, crystal field interactions, glass, Hubbard model, localised states, optical lattices, renormalisation, superfluidity
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/1450187
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