Quantum transport with strong scattering: Beyond the nonlinear sigma model
arXiv:1404.2146 · doi:10.1088/1751-8113/48/5/055102
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.
10 pages, 3 figures
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Cited by in corpus (6)
- Robust quantum transport at particle-hole symmetry
- Quantum evolution with random phase scattering
- Localization by particle-hole symmetry breaking: a loop expansion
- Zero mode protection at particle-hole symmetry: a geometric interpretation
- Metal-insulator transition in three-dimensional semiconductors
- An invariant measure of chiral quantum transport