Incompressible Quantum Glass State of Bosons in Two Dimensions

Details Incompressible Quantum Glass State of Bosons in Two Dimensions Incompressible Quantum Glass State of Bosons in Two Dimensions

2011-10-14

arxiv.org/abs/1110.3213v1

Physics

Condensed Matter

Quantum Gases

5 pages

Scientific paper

We study the quantum glass state intervening between the conventional superfluid and Mott-insulator states of lattice bosons with random potentials. Its properties at temperature T=0 are controlled by rare large regions of superfluid surrounded by Mott insulator. These regions make the state gapless although it is insulating. Contrary to the commonly accepted theory of this state in two dimensions, we show here that a vanishing gap does not necessarily imply nonzero compressibility. Using quantum Monte Carlo simulations of the Bose-Hubbard model and a percolation theory, we show that the compressibility K at average filling n=1 follows the form K \sim exp(-b/T^a) with a<1. The system is, thus, incompressible at T=0 and should be classified as a Mott glass.

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