Disordered spinor Bose-Hubbard model

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.013605· OSTI ID:21537020

LaPcki, Mateusz ^[1]; Paganelli, Simone ^[2]; Ahufinger, Veronica ^[3]; Sanpera, Anna ^[2]; Zakrzewski, Jakub ^[1]

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1. Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagiellonski, ulica Reymonta 4, PL-30-059 Krakow (Poland)
2. Grup de Fisica Teorica, Informacio i Fenomens Quantics, Universitat Autonoma de Barcelona, ES-08193 Bellaterra (Spain)
3. Institucio Catalana de Recerca i Estudis Avancats, Lluis Companys 23, ES-08010 Barcelona (Spain)

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.

• OSTI ID: 21537020
• Journal Information: Physical Review. A, Vol. 83, Issue 1; Other Information: DOI: 10.1103/PhysRevA.83.013605; (c) 2011 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANTIFERROMAGNETISM
BOSE-EINSTEIN GAS
HUBBARD MODEL
MEAN-FIELD THEORY
PERTURBATION THEORY
PHASE DIAGRAMS
PROBABILISTIC ESTIMATION
SPIN
SPINORS
TETRAGONAL LATTICES
TWO-DIMENSIONAL CALCULATIONS
ANGULAR MOMENTUM
CALCULATION METHODS
CRYSTAL LATTICES
CRYSTAL MODELS
CRYSTAL STRUCTURE
DIAGRAMS
INFORMATION
MAGNETISM
MATHEMATICAL MODELS
PARTICLE PROPERTIES