Metal-insulator transition in Hubbard-like models with random hopping

Details Metal-insulator transition in Hubbard-like models with random hopping Metal-insulator transition in Hubbard-like models with random hopping

2006-07-24

arxiv.org/abs/cond-mat/0607574v3

Phys. Rev. B 74, 241102(R) (2006)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 1 figure. v2: Corrected simple algebraic error in Eq. (10b). The metal-insulator transition is now predicted to be fi

Scientific paper

10.1103/PhysRevB.74.241102

An instability of a diffusive Fermi liquid, indicative of a metal-insulator transition (expected to be of first order), arising solely from the competition between quenched disorder and short-ranged interparticle interactions is identified in Hubbard-like models for spinless fermions, subject to (complex) random hopping at half-filling on bipartite lattices. The instability, found within a Finkel'stein Non-Linear Sigma Model treatment in d = (2 + epsilon) > 2 dimensions, originates from an underlying particle-hole like (so-called "chiral") symmetry, shared by both disorder and interactions. In the clean, interacting Fermi liquid this symmetry is responsible for the (completely different) "nesting" instability.

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