Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2011-11-15
Phys. Rev. A 84, 055601 (2011)
Physics
Condensed Matter
Statistical Mechanics
5 pages, 4 figures
Scientific paper
10.1103/PhysRevA.84.055601
We investigate the nature of the superfluid-insulator quantum phase transition driven by disorder for non-interacting ultracold atoms on one-dimensional lattices. We consider two different cases: Anderson-type disorder, with local energies randomly distributed, and pseudo-disorder due to a potential incommensurate with the lattice, which is usually called the Aubry-Andr\'e model. A scaling analysis of numerical data for the superfluid fraction for different lattice sizes allows us to determine quantum critical exponents characterizing the disorder-driven superfluid-insulator transition. We also briefly discuss the effect of interactions close to the non-interacting quantum critical point of the Aubry-Andr\'e model.
Cestari J. C. C.
Continentino Mucio
Foerster Angela
Gusmao M. A.
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