Quantum phase transitions of Dirac particles affected from magnetized 2+1 curved background

TL;DR

This paper explores how Dirac particles undergo quantum and classical phase transitions in a magnetized, rotating 2+1 dimensional curved spacetime, revealing the interplay between geometry, magnetic fields, and quantum effects.

Contribution

It introduces a detailed analysis of quantum and classical phase transitions of Dirac particles in a curved, rotating background considering external magnetic fields, highlighting the effects of geometry and rotation.

Findings

Quantum fluctuations dominate near zero temperature.

Magnetic field and curvature significantly influence phase transition characteristics.

Critical points and scaling behavior are affected by rotation and magnetic parameters.

Abstract

In this research, we investigate the quantum and classical phase transitions of the Dirac particles in a homogeneously magnetized curved rotating 2+1 dimensional spacetime. We consider the intricate relationship between geometry and quantum phase events through the study of quantum electrodynamics in the rotating curved spacetime. Using methods from quantum electrodynamics and statistical mechanics, the study examines the effects of an external magnetic field, the background rotation parameter, and curvature on the characteristics of quantum and classical phase transitions, focusing on critical points and scaling behavior, and we see that as thermal fluctuations get closer to zero, quantum fluctuations begin to dominate at this system.