Chiral phase transition in a planar four-Fermi model in a tilted magnetic field

Abstract

We study a planar four-Fermi Gross-Neveu model in the presence of a tilted magnetic field, with components parallel and perpendicular to the system's plane. We determine how this combination of magnetic field components, when applied simultaneously, affects the phase diagram of the model. It is shown that each component of the magnetic field causes a competing effect on the chiral symmetry in these fermionic systems. While the perpendicular component of the magnetic field tends to make the chiral symmetry breaking stronger, the effect of the parallel component of the field in these planar systems is to weaken the chiral symmetry through the enhancement of the Zeeman energy term. We show that this competing effect, when combined also with temperature and chemical potential, can lead to a rich phase diagram, with the emergence of multiple critical points and reentrant phase transitions. We also study how the presence of these multiple critical points and reentrant phases can manifest in the quantum Hall effect. Our results provide a possible way to probe experimentally chiral symmetry breaking and the corresponding emergence of a gap (i.e., the presence of a nonvanishing chiral vacuum expectation value) in planar condensed matter systems of current interest.

19 pages, 21 eps figures, made a correction to the form of the Zeeman energy term. All results and conclusions remain unaltered. Published version in PRD

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• Multiple Critical Points in Effective Quark Models
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Cited by in corpus (11)

• Repulsive Vector Interaction in Three Flavor Magnetized Quark and Stellar Matter
• The influence of a repulsive vector coupling in magnetized quark matter
• Phase transitions in hexagonal, graphene-like lattice sheets and nanotubes under the influence of external conditions
• Phase diagram of the magnetized planar Gross-Neveu model beyond the large-N approximation
• Tilted Dirac cone effects and chiral symmetry breaking in a planar four-fermion model
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Magnetic catalysis effect in (2+1)-dimensional Gross--Neveu model with Zeeman interaction
• Superconducting phase transition in planar fermionic models with Dirac cone tilting
• First order phase transitions within Weyl type of materials at low temperatures
• Cascade of phase transitions in a planar Dirac material
• Testing the equivalence between the planar Gross-Neveu and Thirring models at $N=1$