An Exactly Solvable Model of Fermions with Disorder
A. M. Tsvelik
TL;DR
This paper presents an exactly solvable model of (2+1)-dimensional relativistic fermions in a disordered non-Abelian gauge field, revealing unbroken replica symmetry and finite DC-conductivity through non-perturbative calculations.
Contribution
It provides a non-perturbative solution for correlation functions in a disordered fermion model, demonstrating unbroken replica symmetry and finite conductivity.
Findings
Replica symmetry remains unbroken.
Finite DC-conductivity is established.
Non-perturbative correlation functions are computed.
Abstract
Non-perturbative results are obtained for multipoint correlation functions of the model of (2 + 1)-dimensional relativistic fermions in a random static non-Abelian gauge potential. The results indicate that the replica symmetry remains unbroken. We calculate the diffuson propagator and show that DC-conductivity for this model is finite. ||
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