# Bosonization for disordered and chaotic systems

Source: [Bosonization for disordered and chaotic systems](<https://www.sota2.com/research/paper/68fa1e5a7a2b558e29321e39>)

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

Data updated: 2025-10-23T14:52:47.983Z

Authors: K. B. Efetov, G. Schwiete, K. Takahashi

Published: 2003-07-21T18:16:27.000Z

## Abstract

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.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/cond-mat/0307504>)

[PDF](<https://arxiv.org/pdf/cond-mat/0307504.pdf>)