Universality of the metal-insulator transition in three-dimensional disordered systems

Abstract

The universality of the metal-insulator transition in three-dimensional disordered system is confirmed by numerical analysis of the scaling properties of the electronic wave functions. We prove that the critical exponent $\nu$ and the multifractal dimensions $d_q$ are independent on the microscopic definition of the disorder and universal along the critical line which separates the metallic and the insulating regime.

Cited by in corpus (8)

• The geometrically-averaged density of states as a measure of localization
• The effects of disorder and interactions on the Anderson transition in doped Graphene
• Disordered two-dimensional electron systems with chiral symmetry
• Logarithmic scaling of Lyapunov exponents in disordered chiral two-dimensional lattices
• Character of eigenstates of the 3D disordered Anderson Hamiltonian
• Metal - Insulator Transition in 3D Quantum Percolation
• Transport in tight-binding bond percolation models
• Localization of Lindbladian Fermions