Parity breaking and phase transition induced by a magnetic field in high $T_c$ superconductors

TL;DR

This paper proposes that a 2+1 dimensional Gross-Neveu model effectively describes low-energy quasiparticles in high-temperature superconductors, showing how magnetic fields can induce phase transitions and parity breaking, potentially explaining experimental observations.

Contribution

It introduces a theoretical framework using the Gross-Neveu model to explain magnetic field-induced phase transitions in high-$T_c$ superconductors, linking field theory to experimental phenomena.

Findings

Magnetic field induces a phase transition associated with parity breaking.

The model explains a second phase transition observed experimentally.

Magnetic catalysis leads to dynamical symmetry breaking in the system.

Abstract

We suggest that the 2+1 dimensional Gross-Neveu model can give an effective field theory description of low-energy quasiparticles in high temperature superconductors. The magnetic catalysis of dynamical symmetry breaking is examined. The model shows that a magnetic field can induce a phase transition associated with parity breaking. In particular, it is intended to give an explanation of a second phase transition observed in a recent experiment by Krishana et al.