The geometrically-averaged density of states as a measure of localization

Abstract

Motivated by current interest in disordered systems of interacting electrons, the effectiveness of the geometrically averaged density of states, ${\rho }_g(\omega )$, as an order parameter for the Anderson transition is examined. In the context of finite-size systems we examine complications which arise from finite energy resolution. Furthermore we demonstrate that even in infinite systems a decline in ${\rho }_g(\omega )$ with increasing disorder strength is not uniquely associated with localization.

8 pages, 8 figures; revised text and figures

References in corpus (5)

• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Unusual localisation effects in quantum percolation
• Universality of the metal-insulator transition in three-dimensional disordered systems
• Scaling behavior of an Anderson impurity close to the Mott-Anderson transition
• Localization effects and inelastic scattering in disordered heavy electrons

Cited by in corpus (6)

• Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard Model
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
• The effects of disorder and interactions on the Anderson transition in doped Graphene
• Character of eigenstates of the 3D disordered Anderson Hamiltonian
• Local density of states and scattering rates across the many-body localization transition