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

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

2011-12-09

arxiv.org/abs/1112.1992v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

9 pages, no figures

Scientific paper

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 $d=2$.

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