B Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Kharkov, Ukraine.
J Phys Condens Matter. 2010 Nov 24;22(46):465304. doi: 10.1088/0953-8984/22/46/465304. Epub 2010 Nov 5.
In this paper, the chemical potential of two-dimensional (2D) and quasi-one-dimensional (Q1D) multisubband charged Fermi gases is evaluated. We start with a rather general formula for the thermodynamic potential of an ideal quantum statistical system with arbitrary occupation-number to calculate, as a particular case, the chemical potential of the multisubband 2D Fermi gas described by a quadratic energy spectrum. The chemical potential is also studied in the case of a low-dimensional Fermi gas in the presence of a quantizing magnetic field. The same approach is used to study the chemical potential of a multisubband Q1D Fermi gas. The influence of temperature is considered. We found interesting analytical results for special limits as well as numerical results that may be important for the description of both the thermodynamic and kinetic properties of Fermi systems in low dimensionality.
本文评估了二维（2D）和准一维（Q1D）多子带带电费米气体的化学势。我们从一个具有任意占据数的理想量子统计系统的热力学势相当一般的公式开始，作为一个特例，计算了由二次能谱描述的多子带 2D 费米气体的化学势。还研究了在存在量子化磁场的情况下，低维费米气体的化学势。同样的方法也用于研究多子带 Q1D 费米气体的化学势。考虑了温度的影响。我们发现了特殊极限的有趣的解析结果以及数值结果，这些结果对于描述低维费米系统的热力学和动力学性质可能很重要。
