We obtain a general expression for the differential entropy per particle (DEP) for three-dimensional Dirac systems as a function of chemical potential, temperature and magnetic field. It is shown that in the presence of magnetic field the dependence of DEP on the chemical potential near a charge neutral point is quite different from the corresponding dependence in graphene. Specifically, we observe a flat region with almost zero DEP near the charge neutral point which grows with the increase of the magnetic field followed then by decreasing oscillations due to contributions from the Landau levels. In contrast, in graphene there is a sharp peak observed for the chemical potential in the temperature vicinity of the Dirac point.

中文翻译：

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外磁场下狄拉克半金属中每个粒子的微分熵

我们获得了三维狄拉克系统的每粒子微分熵 (DEP) 的一般表达式，作为化学势、温度和磁场的函数。结果表明，在存在磁场的情况下，DEP 对电荷中性点附近化学势的依赖性与石墨烯中的相应依赖性有很大不同。具体来说，我们观察到电荷中性点附近 DEP 几乎为零的平坦区域，该区域随着磁场的增加而增长，然后由于朗道能级的贡献而减少振荡。相比之下，在石墨烯中，在狄拉克点附近的温度下观察到化学势的尖峰。