(Inverse) Magnetic Catalysis in Bose-Einstein Condensation of Neutral Bound Pairs

TL;DR

This paper investigates how magnetic fields influence Bose-Einstein condensation of charged fermion pairs, revealing magnetic catalysis at weak coupling and inverse effects at strong coupling due to competing physical mechanisms.

Contribution

It introduces a comprehensive analysis of magnetic field effects on Bose-Einstein condensation of charged pairs, highlighting the transition from magnetic catalysis to inverse catalysis with coupling strength.

Findings

Condensation temperature increases with magnetic field at weak coupling.

Condensation temperature decreases with magnetic field at strong coupling.

Different responses are due to Landau orbital effects and anisotropic fluctuations.

Abstract

The Bose-Einstein condensation of bound pairs made of oppositely charged fermions in a magnetic field is investigated. We find that the condensation temperature shows the magnetic catalysis effect in weak coupling and the inverse magnetic catalysis effect in strong coupling. The different responses to the magnetic field can be attributed to the competition between the dimensional reduction by Landau orbitals in pairing dynamics and the anisotropy of the kinetic spectrum of fluctuations (bound pairs in the normal phase)