A model to study finite-size and magnetic effects on the phase transition of a fermion interacting system

作者：Correa Emerson B S^*; Linhares Cesar A; Malbouisson Adolfo P C

来源：International Journal of Modern Physics B, 2018, 32(8): 1850091.

DOI：10.1142/S0217979218500911

• Phase transitions
• four- and six-fermion interactions
• finite-size effects

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 beta(-1) undergoing first- or second-order phase transition. We have found a strong dependence of the temperature transition on the coupling constants lambda and eta. 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.

• 出版日期2018-3-30