Holographic paramagnetism-ferromagnetism phase transition with the nonlinear electrodynamics

TL;DR

This paper studies how different nonlinear electrodynamics models affect the phase transition between paramagnetism and ferromagnetism in a holographic setup, revealing that nonlinear effects lower the critical temperature and influence magnetic properties.

Contribution

It compares exponential, logarithmic, and Born-Infeld nonlinear electrodynamics in holographic phase transitions, highlighting the impact of nonlinear parameters on critical temperature and magnetic behavior.

Findings

Higher nonlinear electrodynamics corrections lower the critical temperature.

Increasing nonlinear parameter b extends the external magnetic field period.

Exponential nonlinear electrodynamics significantly affects hysteresis loop periodicity.

Abstract

In the probe limit, we investigate the nonlinear electrodynamical effects of the both exponential form and the logarithmic form on the holographic paramagnetism-ferromagnetism phase transition in the background of a Schwarzschild-AdS black hole spacetime. Moreover, by comparing the exponential form of nonlinear electrodynamics with the logarithmic form of nonlinear electrodynamics and the Born-Infeld nonlinear electrodynamics which has been presented in Ref.~\cite{Wu:2016uyj}, we find that the higher nonlinear electrodynamics correction makes the critical temperature smaller and the magnetic moment harder form in the case without external field. Furthermore, the increase of nonlinear parameter b will result in extending the period of the external magnetic field. Especially, the effect of the exponential form of nonlinear electrodynamics on the periodicity of hysteresis loop is more noticeable.