Thermodynamics of Quantum Phase Transitions of a Dirac oscillator in a homogenous magnetic field

Abstract

The Dirac oscillator in a homogenous magnetic field exhibits a chirality phase transition at a particular (critical) value of the magnetic field. Recently, this system has also been shown to be exactly solvable in the context of noncommutative quantum mechanics featuring the interesting phenomenon of re-entrant phase transitions. In this work we provide a detailed study of the thermodynamics of such quantum phase transitions (both in the standard and in the noncommutative case) within the Maxwell-Boltzmann statistics pointing out that the magnetization has discontinuities at critical values of the magnetic field even at finite temperatures.

10 pages, 8 figures

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Cited by in corpus (6)

• On the Dirac oscillator in a spinning cosmic string spacetime in external magnetic fields: Investigation of energy spectrum and connection with the condensed matter physics
• Statistical proerties of the two-dimensional Feshbach-illars oscillator (FVO) in the rotating cosmic string
• Comments on "Superstatistical properties of the one-dimensional Dirac oscillator" by Abdelmalek Boumali et al
• Fermionic fields in a four-dimensional Bonnor-Melvin-Lambda space-time
• The Dirac oscillator in the curved spacetime of a cloud of strings
• Bound-state solutions for the charged Dirac oscillator in a rotating frame in the Bonnor-Melvin-Lambda spacetime