Disordered spinor Bose-Hubbard model

Mateusz Łącki, Simone Paganelli, Veronica Ahufinger, Anna Sanpera, and Jakub Zakrzewski
Phys. Rev. A 83, 013605 – Published 14 January 2011

Abstract

We study the zero-temperature phase diagram of the disordered spin-1 Bose-Hubbard model in a two-dimensional square lattice. To this aim, we use a mean-field Gutzwiller ansatz and a probabilistic mean-field perturbation theory. The spin interaction induces two different regimes, corresponding to a ferromagnetic and antiferromagnetic order. In the ferromagnetic case, the introduction of disorder reproduces analogous features of the disordered scalar Bose-Hubbard model, consisting in the formation of a Bose glass phase between Mott insulator lobes. In the antiferromagnetic regime, the phase diagram differs more from the scalar case. Disorder in the chemical potential can lead to the disappearance of Mott insulator lobes with an odd-integer filling factor and, for sufficiently strong spin coupling, to Bose glass of singlets between even-filling Mott insulator lobes. Disorder in the spinor coupling parameter results in the appearance of a Bose glass phase only between the n and the n+1 lobes for n odd. Disorder in the scalar Hubbard interaction inhibits Mott insulator regions for occupation larger than a critical value.

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  • Received 29 July 2010

DOI:https://doi.org/10.1103/PhysRevA.83.013605

© 2011 American Physical Society

Authors & Affiliations

Mateusz Łącki1, Simone Paganelli2,*, Veronica Ahufinger3,4, Anna Sanpera2,3, and Jakub Zakrzewski1,5

  • 1Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, ulica Reymonta 4, PL-30-059 Kraków, Poland
  • 2Grup de Física Teòrica, Informació i Fenòmens Quàntics, Universitat Autònoma de Barcelona, ES-08193 Bellaterra, Spain
  • 3Institució Catalana de Recerca i Estudis Avançats, Lluís Companys 23, ES-08010 Barcelona, Spain
  • 4Grup d’Òptica, Departament de Física Universitat Autònoma de Barcelona, ES-08193 Bellaterra, Spain
  • 5Mark Kac Complex Systems Research Center, Jagiellonian University, PL-31-007 Kraków, Poland

  • *paganelli@ifae.es

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Issue

Vol. 83, Iss. 1 — January 2011

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