Thermal Conductivity in 3D NJL Model Under External Magnetic Field

TL;DR

This paper investigates how a constant magnetic field influences the thermal conductivity in a (2+1)-dimensional NJL model, revealing complex behaviors like kinks and plateaus with potential applications in condensed matter physics.

Contribution

It provides a mean-field calculation of thermal conductivity in the NJL model under magnetic fields, incorporating magnetic catalysis and analyzing asymptotic regimes.

Findings

Thermal conductivity shows kink-like behavior at certain parameters.

Plateau regions are observed in the conductivity profile.

Results suggest relevance to planar condensed matter systems.

Abstract

The thermal conductivity of the (2+1)-dimensional NJL model in the presence of a constant magnetic field is calculated in the mean-field approximation and its different asymptotic regimes are analyzed. Taking into account the dynamical generation of a fermion mass due to the magnetic catalysis phenomenon, it is shown that for certain relations among the theory's parameters (particle width, temperature and magnetic field), the profile of the thermal conductivity versus the applied field exhibits kink- and plateau-like behaviors. We point out possible applications to planar condensed matter.