2017/05/09 by Emerson B. S. Corrêa, C. A. Linhares, César A. Linhares +2
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Compactification (mathematics) #Condensed matter physics #Fermion #Ferroics #Geometry #Inverse #Lattice (music) #Magnetic field #Mathematics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Pure mathematics #Quantum critical point #Quantum mechanics #Quantum phase transition #Symmetry breaking #Theoretical and Computational Physics #cond-mat.other
paper · pdf · doi:10.1142/s0217979218500911
arxiv created 2017/05/09 · openalex publication_date 2017/12/20 · arxiv updated 2018/04/04 · openalex created_date 2019/07/30 · openalex updated_date 2026/08/05
We present a model to study the effects from external magnetic field, chemical potential and finite size on the phase structures of a massive four- and six-fermion interacting systems. These effects are introduced by a method of compactification of coordinates, a generalization of the standard Matsubara prescription. Through the compactification of the z-coordinate and of imaginary time, we describe a heated system with the shape of a film of thickness L, at temperature [Formula: see text] undergoing first- or second-order phase transition. We have found a strong dependence of the temperature transition on the coupling constants [Formula: see text] and [Formula: see text]. Besides inverse magnetic catalysis and symmetry breaking for both kinds of transition, we have found an inverse symmetry breaking phenomenon with respect to first-order phase transition.