Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach
A new exact expression is derived for the free energy of an ideal two-dimensional electron gas (2DEG) in a uniform magnetic field and at low, but finite, temperatures. The approach eliminates a 2D-peculiarity that neither the weak nor the strong magnetic field limit can be easily taken in the result...
| Main Authors: | , |
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| Format: | Journal Article |
| Language: | English |
| Published: |
2012
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| Online Access: | https://hdl.handle.net/10356/99923 http://hdl.handle.net/10220/8130 |
| _version_ | 1826115574447472640 |
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| author | Wang, Lipo. O'Connell, R. F. |
| author2 | School of Electrical and Electronic Engineering |
| author_facet | School of Electrical and Electronic Engineering Wang, Lipo. O'Connell, R. F. |
| author_sort | Wang, Lipo. |
| collection | NTU |
| description | A new exact expression is derived for the free energy of an ideal two-dimensional electron gas (2DEG) in a uniform magnetic field and at low, but finite, temperatures. The approach eliminates a 2D-peculiarity that neither the weak nor the strong magnetic field limit can be easily taken in the result derived from the standard Sondheimer-Wilson treatment. In the strong magnetic field limit, the result reduces to an existing one, for which a misunderstanding needs to be clarified. In the weak field limit, it agrees with a result obtainable through Euler's summation formula. The conditions are discussed under which the nondegenerate situation may occur. |
| first_indexed | 2024-10-01T03:57:43Z |
| format | Journal Article |
| id | ntu-10356/99923 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:57:43Z |
| publishDate | 2012 |
| record_format | dspace |
| spelling | ntu-10356/999232020-03-07T14:00:32Z Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach Wang, Lipo. O'Connell, R. F. School of Electrical and Electronic Engineering DRNTU::Engineering::Electrical and electronic engineering A new exact expression is derived for the free energy of an ideal two-dimensional electron gas (2DEG) in a uniform magnetic field and at low, but finite, temperatures. The approach eliminates a 2D-peculiarity that neither the weak nor the strong magnetic field limit can be easily taken in the result derived from the standard Sondheimer-Wilson treatment. In the strong magnetic field limit, the result reduces to an existing one, for which a misunderstanding needs to be clarified. In the weak field limit, it agrees with a result obtainable through Euler's summation formula. The conditions are discussed under which the nondegenerate situation may occur. 2012-05-23T02:52:07Z 2019-12-06T20:13:41Z 2012-05-23T02:52:07Z 2019-12-06T20:13:41Z 1989 1989 Journal Article Wang, L., & O'Connell, R. F. (1989). Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach. Physica Status Solidi (b), 153(1), 343-359. https://hdl.handle.net/10356/99923 http://hdl.handle.net/10220/8130 10.1002/pssb.2221530136 en Physica status solidi (b) © 1989 WILEY-VCH Verlag GmbH & Co. KGaA. |
| spellingShingle | DRNTU::Engineering::Electrical and electronic engineering Wang, Lipo. O'Connell, R. F. Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach |
| title | Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach |
| title_full | Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach |
| title_fullStr | Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach |
| title_full_unstemmed | Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach |
| title_short | Ideal two-dimensional electron gas in a magnetic field and at non-zero temperatures : an alternative approach |
| title_sort | ideal two dimensional electron gas in a magnetic field and at non zero temperatures an alternative approach |
| topic | DRNTU::Engineering::Electrical and electronic engineering |
| url | https://hdl.handle.net/10356/99923 http://hdl.handle.net/10220/8130 |
| work_keys_str_mv | AT wanglipo idealtwodimensionalelectrongasinamagneticfieldandatnonzerotemperaturesanalternativeapproach AT oconnellrf idealtwodimensionalelectrongasinamagneticfieldandatnonzerotemperaturesanalternativeapproach |