Glassy states in fermionic systems with strong disorder and interactions

Details Glassy states in fermionic systems with strong disorder and interactions Glassy states in fermionic systems with strong disorder and interactions

2008-08-11

arxiv.org/abs/0808.1586v3

Phys. Rev. B 79, 125102 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

8 pages, 5 figures, expanded to contain some analytical results for one dimension

Scientific paper

10.1103/PhysRevB.79.125102

We study the competition between interactions and disorder in two dimensions. Whereas a noninteracting system is always Anderson localized by disorder in two dimensions, a pure system can develop a Mott gap for sufficiently strong interactions. Within a simple model, with short-ranged repulsive interactions, we show that, even in the limit of strong interaction, the Mott gap is completely washed out by disorder for an infinite system for dimensions $D\le 2$. The probability of a nonzero gap falls onto a universal curve, leading to a glassy state for which we provide a scaling function for the frequency dependent susceptibility.

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