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

Analytical expressions for the thermodynamical properties of a two-dimensional electron gas in a perpendicular mag- netic 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 exp...

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Published inChinese physics B Vol. 22; no. 11; pp. 569 - 573
Main Author 陈金望 潘孝胤
Format Journal Article
LanguageEnglish
Published 01.11.2013
Subjects
Chemical potential
Electron gas
Exact solutions
Gaussian
Magnetic fields
Magnetization
Mathematical analysis
Two dimensional
一般表达式
二维电子气
化学势
垂直磁场
热力学性质
磁场分析
解析表达式
高斯密度
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Summary:Analytical expressions for the thermodynamical properties of a two-dimensional electron gas in a perpendicular mag- netic 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.
Bibliography:Analytical expressions for the thermodynamical properties of a two-dimensional electron gas in a perpendicular mag- netic 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.
thermodynamical potential, magnetization, de Hass-van Alphen effect, density of states
Chen Jin-Wang, Pan Xiao-Yin（Department of Physics, Ningbo University, Ningbo 315211, China）
11-5639/O4
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/22/11/117501