Quantum transport with strong scattering: Beyond the nonlinear sigma model
Disordered Systems and Neural Networks
2015-01-22 v2
Abstract
Transport properties of a two-band system with spectral nodes are studied in the presence of random scattering. Starting from a Grassmann functional integral, we derive a bosonic representation that is based on random phase fluctuations. Averaging leads to a graphical representation of the correlation function with entangled random walks and 4-vertices. In the strong scattering limit we derive a complex transition amplitude. For the example of two-dimensional Dirac fermions we obtain a localization length proportional to the inverse scattering rate.
Cite
@article{arxiv.1404.2146,
title = {Quantum transport with strong scattering: Beyond the nonlinear sigma model},
author = {K. Ziegler},
journal= {arXiv preprint arXiv:1404.2146},
year = {2015}
}
Comments
10 pages, 3 figures