# Anderson localization of two-dimensional Dirac fermions: a perturbative approach

Source: [Anderson localization of two-dimensional Dirac fermions: a perturbative approach](<https://www.sota2.com/research/paper/68fa2e4a1e209131ce86156f>)

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

Data updated: 2025-10-24T16:49:55.455Z

Authors: K. Ziegler

Published: 2014-12-24T18:35:04.000Z

## Abstract

Anderson localization is studied for two-dimensional Dirac fermions in the presence of strong random scattering. Averaging with respect to the latter leads to a graphical representation of the correlation function with entangled random walks and three-vertices which connect three different types of propagators. This approach indicates Anderson localization along a semi-infinite line, where the localization length is inversely proportional to the scattering rate.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1412.7732>)

[PDF](<https://arxiv.org/pdf/1412.7732.pdf>)