Direct Mott Insulator-to-Superfluid Transition in the Presence of Disorder

Details Direct Mott Insulator-to-Superfluid Transition in the Presence of Disorder Direct Mott Insulator-to-Superfluid Transition in the Presence of Disorder

1997-02-19

arxiv.org/abs/cond-mat/9702169v1

Physics

Condensed Matter

4 pages, Latex, submitted to Physical Review Letters

Scientific paper

10.1103/PhysRevB.57.5044

We introduce a new renormalization group theory to examine the quantum phase transitions upon exiting the insulating phase of a disordered, strongly interacting boson system. For weak disorder we find a direct transition from this Mott insulator to the Superfluid phase. In d > 4 a finite region around the particle-hole symmetric point supports this direct transition, whereas for 2=< d <4 perturbative arguments suggest that the direct transition survives only precisely at commensurate filling. For strong disorder the renormalization trajectories pass next to two fixed points, describing a pair of distinct transitions; first from the Mott insulator to the Bose glass, and then from the Bose glass to the Superfluid. The latter fixed point possesses statistical particle-hole symmetry and a dynamical exponent z, equal to the dimension d.

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