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.

arXiv comment8 pages, 8 figures; revised text and figures

References in corpus (11)

• Metallic behavior and related phenomena in two dimensions
• Statistics of energy levels and eigenfunctions in disordered systems
• Statistics and Scaling in Disordered Mesoscopic Electron Systems
• Mott--Hubbard transition vs. Anderson localization of correlated, disordered electrons
• Disorder-Driven Non-Fermi Liquid Behavior of Correlated Electrons
• Mean field theory of the Mott-Anderson transition
• Typical medium theory of Anderson localization: A local order parameter approach to strong disorder effects
• 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 (14)

• Generalized Inverse Participation Ratio as a Possible Measure of Localization for Interacting Systems
• Dynamical Mean Field Study of the Two-Dimensional Disordered Hubbard Model
• A Typical Medium Dynamical Cluster Approximation for the Study of Anderson Localization in Three Dimensions
• Anderson-Hubbard model with box disorder: Statistical dynamical mean-field theory investigation
• Interacting fermions in 1D disordered lattices: Exploring localization and transport properties with lattice density-functional theories
• Finite Cluster Typical Medium Theory for Disordered Electronic Systems
• Tangent fermions: Dirac or Majorana fermions on a lattice without fermion doubling
• Effective Cluster Typical Medium Theory for Diagonal Anderson Disorder Model in One- and Two-Dimensions
• Transition between localized and extended states in the hierarchical Anderson model
• The effects of disorder and interactions on the Anderson transition in doped Graphene
• Character of eigenstates of the 3D disordered Anderson Hamiltonian
• Locally self-consistent embedding approach for disordered electronic systems
• Two-particle excitations under coexisting electron interaction and disorder
• Local density of states and scattering rates across the many-body localization transition