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

K. Ziegler

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arXiv · 1412.7732

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

K. Ziegler

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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.

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K. Ziegler. 2014-12-24. Anderson localization of two-dimensional Dirac fermions: a perturbative approach. https://arxiv.org/abs/1412.7732

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