Evidence for a BKT transition and a pseudogap phase in three-dimensional Gross-Neveu model at nonzero temperature

TL;DR

This study uses Monte Carlo simulations to demonstrate a BKT transition and a pseudogap phase in a 3D Gross-Neveu model at finite temperature, revealing complex phase behavior relevant to condensed matter physics.

Contribution

First simulation evidence of a BKT transition and pseudogap phase in the 3D Gross-Neveu model with U(1) symmetry at nonzero temperature.

Findings

Evidence of a BKT transition consistent with dimensional reduction.

Identification of a high-temperature pseudogap regime with nonzero fermion mass.

Confirmation of complex phase structure in the model.

Abstract

We present results from Monte Carlo simulations of the three-dimensional Gross-Neveu model with a U(1) chiral symmetry at nonzero temperature. We provide evidence that the model undergoes a Berezinskii-Kosterlitz-Thouless transition in accordance with the dimensional reduction scenario. We also identify a regime in the high temperature phase in which the fermions acquire nonzero dynamical mass, analogous to the pseudogap behaviour observed in cuprate superconductors.