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

Source: [Quantum diffusion in two-dimensional random systems with particle-hole symmetry](<https://www.sota2.com/research/paper/68fa2b651e209131ce8467ce>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T14:10:38.793Z

Authors: K. Ziegler

Published: 2011-12-09T00:42:44.000Z

## 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 $d=2$.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1112.1992>)

[PDF](<https://arxiv.org/pdf/1112.1992.pdf>)