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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) |
| Department of Physics, Ningbo University, Ningbo 315211, China |
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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.
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Received: 12 April 2013
Revised: 06 May 2013
Accepted manuscript online:
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PACS:
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75.20.-g
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(Diamagnetism, paramagnetism, and superparamagnetism)
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71.70.Di
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(Landau levels)
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71.18.+y
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(Fermi surface: calculations and measurements; effective mass, g factor)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11275100) and the K. C. Wong Magna Foundation of Ningbo University, China. |
Corresponding Authors:
Pan Xiao-Yin
E-mail: panxiaoyin@nbu.edu.cn
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Cite this article:
Chen Jin-Wang (陈金望), Pan Xiao-Yin (潘孝胤) Analytical thermodynamical properties of a two-dimensional electron gas in a magnetic field 2013 Chin. Phys. B 22 117501
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