Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-03-23
Phys. Rev. Lett. 103, 140402 (2009)
Physics
Condensed Matter
Statistical Mechanics
4 pages, 3 figures; replaced with resubmitted version
Scientific paper
We prove the absence of a direct quantum phase transition between a superfluid and a Mott insulator in a bosonic system with generic, bounded disorder. We also prove compressibility of the system on the superfluid--insulator critical line and in its neighborhood. These conclusions follow from a general {\it theorem of inclusions} which states that for any transition in a disordered system one can always find rare regions of the competing phase on either side of the transition line. Quantum Monte Carlo simulations for the disordered Bose-Hubbard model show an even stronger result, important for the nature of the Mott insulator to Bose glass phase transition: The critical disorder bound, $\Delta_c$, corresponding to the onset of disorder-induced superfluidity, satisfies the relation $\Delta_c > E_{\rm g/2}$, with $E_{\rm g/2}$ the half-width of the Mott gap in the pure system.
Pollet Lode
Prokof'ev Nikolai V.
Svistunov Boris V.
Troyer Matthias
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