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Thermodynamics of quantum phase transitions of a Dirac oscillator in a homogenous magnetic field
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-04-19 , DOI: 10.1088/1751-8121/ab7df7
A M Frassino 1 , D Marinelli 2 , O Panella 3 , P Roy 4, 5
Affiliation  

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.

中文翻译:

均匀磁场中狄拉克振荡器的量子相变的热力学

均匀磁场中的狄拉克振荡器在磁场的特定(临界)值处表现出手性相变。最近,在非可交换量子力学的背景下,该系统也被证明是完全可解的,其特征在于有趣的折返相变现象。在这项工作中,我们在Maxwell–Boltzmann统计数据中提供了对此类量子相变(在标准情况下和在非交换情况下)的热力学的详细研究,指出即使在有限的磁场下,磁化强度在磁场的临界值处也具有不连续性温度。
更新日期:2020-04-22
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