Disorder-driven metal-insulator transition in Hubbard-like models with random hopping

Matthew Foster

Physics Department, University of California, Santa Barbara, USA

Matthew S. Foster and Andreas W. W. Ludwig

We study the combined effects of random hopping disorder and interparticle interactions in half filled Hubbard-like models of spinless fermions in two or more dimensions. In a given realization, the hopping disorder is chosen to break time-reversal invariance, but to preserve the special nesting symmetry responsible for the charge density wave instability of the clean, non-interacting Fermi surface. This disorder may arise, e.g., from the application of a random orbital magnetic field to the otherwise clean model. Using a perturbative renormalization group approach [1], we have identified a new, continuous metal-insulator transition in 2 + epsilon dimensions, stabilized by the presence of the interactions.

[1] A. M. Finkelstein, Zh. Eksp. Teor. Fiz. 84, 168 (1983), Sov. Phys. JETP 57, 97 (1983).

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