Tricritical behavior of a relativistic field theory in one dimension

TL;DR

This paper studies the tricritical behavior of a 1D relativistic field theory with spontaneous symmetry breaking, analyzing how temperature, doping, and magnetic fields influence phase transitions and the nature of the condensates.

Contribution

It investigates the effects of temperature, magnetic field, and inhomogeneous condensates on the tricritical behavior in 1D Gross-Neveu-type models, extending understanding of phase transitions in these systems.

Findings

Magnetic field suppresses gapless behavior and induces phase transitions.

Doping restores symmetry at a critical chemical potential.

Inhomogeneous condensates influence the tricritical point.

Abstract

The tricritical behavior in a class of one-dimensional (1D) field theories that exhibit spontaneous symmetry breaking at zero temperature and chemical potential is analyzed. In the Gross-Neveu (GN)-type models of massless fermions the discrete chiral symmetry is spontaneously broken. After doping, the symmetry is restored at a critical chemical potential. We investigate the temperature effects on this doped 1D system under an external constant Zeeman magnetic field $B_0$. We find that $B_0$ suppresses the gapless behavior present for certain values of chemical potential and is able to induce a gapless-gapped phase transition at a critical field strength. We also discuss about the consequences of the consideration of inhomogeneous condensates to the tricritical point, within the Ginzburg-Landau expansion.