# Quantum transport with strong scattering: Beyond the nonlinear sigma model

Source: [Quantum transport with strong scattering: Beyond the nonlinear sigma model](<https://www.sota2.com/research/paper/68fa2e4c1e209131ce861793>)

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

Data updated: 2025-10-27T03:26:04.547Z

Authors: K. Ziegler

Published: 2014-04-08T14:20:38.000Z

## 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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1404.2146>)

[PDF](<https://arxiv.org/pdf/1404.2146.pdf>)