On behaviour of critical lines near ferrimagnetic phase in Higgs-Yukawa systems

TL;DR

This paper investigates the behavior of critical lines near the ferrimagnetic phase in Higgs-Yukawa systems using mean-field approximation, revealing how slopes vary and the orthogonal relationship of magnetizations.

Contribution

It provides a detailed analysis of the critical line slopes and magnetization orientations near the ferrimagnetic phase in U(1) systems, highlighting the influence of fermion flavors.

Findings

One critical line slope is continuous near the ferrimagnetic phase.

The other critical line's slope change depends on fermion flavor number.

Magnetization and staggered magnetization are orthogonal near the phase transition.

Abstract

We calculate within a mean-field approximation the slopes of the critical lines near the point of appearing the ferrimagnetic phase for the U(1) systems in the weak coupling regime. It is demonstrated that the slope of one of the critical line is continuous, while change of the slope of the other depends strongly on the number of the fermion flavours. We also find that in the ferrimagnetic phase near such a point the magnetization and the staggered magnetization align orthogonally to each other.