Glassy states in fermionic systems with strong disorder and interactions

Abstract

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.

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

References in corpus (10)

• Metallic behavior and related phenomena in two dimensions
• Scaling theory of two-dimensional metal-insulator transitions
• Onset of Glassy Dynamics in a Two-Dimensional Electron System in Silicon
• Melting of the Electron Glass
• Universal Behavior of the Resistance Noise across the Metal-Insulator Transition in Silicon Inversion Layers
• Mott Insulators Without Symmetry Breaking
• Disorder, Order, and Domain Wall Roughening in the 2d Random Field Ising Model
• Nucleosome Switching
• Nonequilibrium Relaxations and Aging Effects in a Two-Dimensional Coulomb Glass
• Aging Effects Across the Metal-Insulator Transition in Two Dimensions

Cited by in corpus (5)

• Effect of disorder on density of states and conductivity in higher order van Hove singularities in two dimensional bands
• Scaling of von Neumann entropy at the Anderson transition
• Large Positive Magnetoresistance of the Lightly Doped La_{2}CuO_{4} Mott Insulator
• Bilayer Quantum Hall Ferromagnet in a Periodic Potential
• Random field disorder and charge order driven quantum oscillations in cuprates