Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models

2011/01/04 by Luciano M. Abreu, L. M. Abreu, A. P. C. Malbouisson +1 · 3 citations
Mathematics · Physics and Astronomy · #Boundary value problem #Compactification (mathematics) #Condensed matter physics #Fermion #High-Energy Particle Collisions Research #Mathematics #Periodic boundary conditions #Phase (matter) #Phase boundary #Phase diagram #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Statistical physics #cond-mat.stat-mech #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.83.025001

published as Phys.Rev.D83:025001,2011 · Revtex, 8 pages, 8 figures

openalex publication_date 2011/01/04 · arxiv created 2011/02/09 · arxiv updated 2011/11/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate finite-size effects on the phase structure of chiral and difermion condensates at finite temperature and density in the framework of the two-dimensional large-N Nambu-Jona-Lasinio model. We take into account size-dependent effects by making use of zeta-function and compactification methods. The thermodynamic potential and the gap equations for the chiral and difermion condensed phases are then derived in the mean-field approximation. Size-dependent critical lines separating the different phases are obtained considering antiperiodic boundary conditions for the spatial coordinate.

Citations

• Chiral phase properties of finite size quark droplets in the Nambu–Jona-Lasinio model
• Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions
• There are no Goldstone bosons in two dimensions
• Finite temperature properties of the Dirac operator under local boundary conditions
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• Absence of Ferromagnetism or Antiferromagnetism in One- or Two-Dimensional Isotropic Heisenberg Models
• QCD at finite baryon density: nucleon droplets and color superconductivity
• Cold strangelets formation with finite size effects in high energy heavy-ion collisions
• Two-dimensional model with chiral condensates and Cooper pairs having a QCD-like phase structure
• Four-Fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Cited by

• A model to study finite-size and magnetic effects on the phase transition of a fermion interacting system
• Finite size effect of hadronic matter on its transport coefficients
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory