Bosonization for disordered and chaotic systems

Details Bosonization for disordered and chaotic systems Bosonization for disordered and chaotic systems

2003-07-21

arxiv.org/abs/cond-mat/0307504v2

Phys. Rev. Lett. 92, 026807 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, no figure, REVTeX4; title changed, revision for publication

Scientific paper

10.1103/PhysRevLett.92.026807

Using a supersymmetry formalism, we reduce exactly the problem of electron motion in an external potential to a new supermatrix model valid at all distances. All approximate nonlinear sigma models obtained previously for disordered systems can be derived from our exact model using a coarse-graining procedure. As an example, we consider a model for a smooth disorder and demonstrate that using our approach does not lead to a 'mode-locking' problem. As a new application, we consider scattering on strong impurities for which the Born approximation cannot be used. Our method provides a new calculational scheme for disordered and chaotic systems.

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