Symplectic ferromagnetism and phase transitions in multi-component fermionic systems

TL;DR

This paper investigates the unique ferromagnetic phases and phase transitions in multi-component fermionic systems with symplectic symmetry, revealing distinct critical behaviors compared to traditional spin systems.

Contribution

It introduces a new effective field theory for symplectic symmetric fermionic systems and explores their ferromagnetic phases and critical phenomena.

Findings

Systems exhibit unique ferromagnetic and critical behaviors.

Different from spin-1/2 and SU(N) high-spin systems.

Extension to higher spin Sp(2N) systems discussed.

Abstract

In this paper, we study the itinerant ferromagnetic phase in multi-component fermionic systems with symplectic (Sp(4), or isomorphically SO(5)) symmetry. Two different microscopic models have been considered and an effective field theory has been proposed to study the critical behavior of the nonmagnetism-magnetism phase transition. It has been shown that such systems exhibit intriguing ferromagnetism and critical behavior that different from those in spin-$\frac 12$ fermionic systems, or in high-spin systems with SU(N) symmetry. An extension of our results to higher spin systems with Sp(2N) symmetry has also been discussed.