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Quantum Thermodynamics

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

arXiv
Authors: Antonia M. Frassino, Dimitri Marinelli, Orlando Panella, Pinaki Roy

Year

2017

Paper ID

44462

Status

Preprint

Abstract Read

~2 min

Abstract Words

95

Citations

N/A

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.

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  • The Dirac oscillator in a homogenous magnetic field exhibits a chirality phase transition at a particular (critical) value of the magnetic field.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1707.06984 [2] arXiv https://arxiv.org/abs/1707.06984 [3] Publisher https://arxiv.org/abs/1707.06984

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