# Non-Abelian chiral symmetry controls random scattering in two-band models

Source: [Non-Abelian chiral symmetry controls random scattering in two-band models](<https://www.sota2.com/research/paper/68fa2bdc1e209131ce84a89a>)

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

Data updated: 2025-10-24T14:57:11.355Z

Authors: K. Ziegler

Published: 2012-12-30T21:22:57.000Z

## Abstract

We study the dynamics of non-interacting quantum particles with two bands in the presence of random scattering. The two bands are associated with a chiral symmetry. After breaking the latter by a potential, we still find that the quantum dynamics is controlled by a non-Abelian chiral symmetry. The possibility of spontaneous symmetry breaking is analyzed within a self-consistent approach, and the instability of a symmetric solution is discussed.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1212.6778>)

[PDF](<https://arxiv.org/pdf/1212.6778.pdf>)