Thermodynamics of quantum phase transitions of a Dirac oscillator in a homogenous magnetic field. (English) Zbl 1514.82114
Summary: The Dirac oscillator in a homogeneous 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.
MSC:
| 82C10 | Quantum dynamics and nonequilibrium statistical mechanics (general) |
| 82B10 | Quantum equilibrium statistical mechanics (general) |
| 81Q05 | Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics |
| 82B26 | Phase transitions (general) in equilibrium statistical mechanics |
Keywords:
Dirac oscillator; quantum phase transition; non commutativity; reentrant quantum phase transitionsSoftware:
DLMFReferences:
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