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Quantum transport with strong scattering: Beyond the nonlinear sigma model
- Source :
- J. Phys. A: Math. Theor. 48 055102 (2015)
- Publication Year :
- 2014
-
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.<br />Comment: 10 pages, 3 figures
- Subjects :
- Condensed Matter - Disordered Systems and Neural Networks
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Phys. A: Math. Theor. 48 055102 (2015)
- Publication Type :
- Report
- Accession number :
- edsarx.1404.2146
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1751-8113/48/5/055102