Quantum diffusion in two-dimensional random systems with particle-hole symmetry

Abstract

We study the scattering dynamics of an $n$-component spinor wavefunction in a random environment on a two-dimensional lattice. In the presence of particle-hole symmetry we find diffusion on large scales. The latter is described by a non-interacting Grassmann field, indicating a special kind of asymptotic freedom in $d=2$.

9 pages, no figures, extended version

References in corpus (4)

• Anderson Transitions
• Wigner model for quantum transport in graphene
• Random gap model for graphene and graphene bilayers
• Diffusion in the random gap model of mono- and bilayer graphene

Cited by in corpus (6)

• Quantum transport in 3D Weyl semimetals: Is there a metal-insulator transition?
• Renormalized transport properties of randomly gapped 2D Dirac fermions
• Diffusive transport in the lowest Landau level of disordered 2d semimetals: the mean-square-displacement approach
• Dynamical symmetry breaking in a 2D electron gas with a spectral node
• Linear response peculiarity of a two--dimensional Dirac electron gas at weak scattering
• Anderson localization in a two-dimensional random gap model