中国物理B ›› 2013, Vol. 22 ›› Issue (11): 117501-117501.doi: 10.1088/1674-1056/22/11/117501

• CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES • 上一篇    下一篇

Analytical thermodynamical properties of a two-dimensional electron gas in a magnetic field

陈金望, 潘孝胤   

  1. Department of Physics, Ningbo University, Ningbo 315211, China
  • 收稿日期:2013-04-12 修回日期:2013-05-06 出版日期:2013-09-28 发布日期:2013-09-28
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11275100) and the K. C. Wong Magna Foundation of Ningbo University, China.

Analytical thermodynamical properties of a two-dimensional electron gas in a magnetic field

Chen Jin-Wang (陈金望), Pan Xiao-Yin (潘孝胤)   

  1. Department of Physics, Ningbo University, Ningbo 315211, China
  • Received:2013-04-12 Revised:2013-05-06 Online:2013-09-28 Published:2013-09-28
  • Contact: Pan Xiao-Yin E-mail:panxiaoyin@nbu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11275100) and the K. C. Wong Magna Foundation of Ningbo University, China.

摘要: Analytical expressions for the thermodynamical properties of a two-dimensional electron gas in a perpendicular magnetic field are derived. This is accomplished by first deriving the general expression for the thermodynamical potential, and then employing this result to obtain the corresponding expression for the two-dimensional gas. The chemical potential and magnetization are studied as a function of temperature and magnetic field, and shown to be in agreement with prior work. It is also shown that the results are close to those obtained by assuming a Gaussian density of states for the Landau levels.

关键词: thermodynamical potential, magnetization, de Hass–van Alphen effect, density of states

Abstract: Analytical expressions for the thermodynamical properties of a two-dimensional electron gas in a perpendicular magnetic field are derived. This is accomplished by first deriving the general expression for the thermodynamical potential, and then employing this result to obtain the corresponding expression for the two-dimensional gas. The chemical potential and magnetization are studied as a function of temperature and magnetic field, and shown to be in agreement with prior work. It is also shown that the results are close to those obtained by assuming a Gaussian density of states for the Landau levels.

Key words: thermodynamical potential, magnetization, de Hass–van Alphen effect, density of states

中图分类号:  (Diamagnetism, paramagnetism, and superparamagnetism)

  • 75.20.-g
71.70.Di (Landau levels) 71.18.+y (Fermi surface: calculations and measurements; effective mass, g factor)