Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model

Abstract

Phase structure of the (2+1)-dimensional model with four-fermion interaction of spin-1/2 quasiparticles (electrons) both in the fermion-antifermion (or chiral) and fermion-fermion (or superconducting) channels is considered at nonzero chemical potential $\mu$ and under the influence of an in-plane, i.e. parallel to a system sheet, external magnetic field ${\vec{B}}_{\parallel }$. It is shown that at sufficiently large values of $\mu$ and/or ${\vec{B}}_{\parallel }$ the Cooper pairing (or superconducting) phase appears in the system at arbitrary relation between coupling constants, provided that there is an (arbitrary small) attractive interaction in the superconducting channel. In particular, at sufficiently weak attractive interaction in the chiral channel, the Cooper pairing occurs even at infinitesimal values of $\mu$ and/or ${\vec{B}}_{\parallel }$. The superconducting phase of the model is always a paramagnetic one.

10 pages, 7 figures, published version in MPLA. arXiv admin note: substantial text overlap with arXiv:1210.7934

References in corpus (12)

• The electronic properties of graphene
• Superconductivity at 38 K in the iron arsenide (Ba1-xKx)Fe2As2
• Emergence of Tricritical Point and Liquid-Gas Phase in the Massless 2+1 Dimensional Gross-Neveu Model
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Updating the Phase Diagram of the Gross-Neveu Model in 2+1 Dimensions
• Magnetization of Planar Four-Fermion Systems
• Phase diagram of quark-antiquark and diquark condensates at finite temperature and density in the 3-dimensional Gross Neveu model
• Magnetic Field Effects on the Superconducting and Quantum Critical Properties of Layered Systems with Dirac Electrons
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
• $\bar{\psi }\psi$-condensate in constant magnetic fields
• Phase transition in the 3-D massive Gross-Neveu model
• Phase diagram of quark-antiquark and diquark condensates in the 3-dimensional Gross Neveu model with the 4-component spinor representation

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• Vector Condensate and AdS Soliton Instability Induced by a Magnetic Field
• Lifshitz Effects on Vector Condensate Induced by a Magnetic Field
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• First order phase transitions within Weyl type of materials at low temperatures
• Testing the equivalence between the planar Gross-Neveu and Thirring models at $N=1$