The quantum Hall effect : spin-charge locking

In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the q...

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Main Authors: Abu Kassim, Hasan, Abdul Jalil, Ithnin, Yusof, Norhasliza, Shrivastava, Keshav N.
Format: Article
Language:English
Published: Ibnu Sina Institute for Fundamental Science Studies 2006
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Online Access:http://eprints.utm.my/id/eprint/31/1/jfs055062.pdf
http://eprints.utm.my/id/eprint/31/
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spelling my.utm.312010-10-05T06:06:40Z http://eprints.utm.my/id/eprint/31/ The quantum Hall effect : spin-charge locking Abu Kassim, Hasan Abdul Jalil, Ithnin Yusof, Norhasliza Shrivastava, Keshav N. QC Physics In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the quantization leads to correct measurement of h/e2. Therefore the quantized Hall effect was further studied at high magnetic fields where fractional quantization was found. The fractional charge can arise from the “incompressibility� in the flux quantization. Laughlin wrote a wave function, the excitations of which are fractionally charged quasiparticles. This wave function comes in competition with charge density waves but for a few fractions it does give the ground state. If “incompressibility� is not considered and it is allowed to be compressible, the fractional charge can arise from the angular momentum which appears in the Bohr magneton in the form of g values. Usually the positive spin is considered but we consider both the positive as well as the negative values so that there is a spin-charge coupling. The values thus calculated for the fractional charge agree with the experimental data on the quantum Hall effect. We have followed this subject for a long time and hence have reviewed the subject. There are several interesting concepts which we learn from this subject. The concept of the Hall effect is quite clear particularly when combined with the flux quantization. We learn about the Landau levels and hence the boson character of electrons in two dimensions. We learn that charge becomes a vector quantity and there is spincharge coupling. Ibnu Sina Institute for Fundamental Science Studies 2006-06 Article PeerReviewed application/pdf en http://eprints.utm.my/id/eprint/31/1/jfs055062.pdf Abu Kassim, Hasan and Abdul Jalil, Ithnin and Yusof, Norhasliza and Shrivastava, Keshav N. (2006) The quantum Hall effect : spin-charge locking. Journal of Fundamental Sciences, 2 . pp. 55-62. ISSN 1823-626X http://www.ibnusina.utm.my/
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
language English
topic QC Physics
spellingShingle QC Physics
Abu Kassim, Hasan
Abdul Jalil, Ithnin
Yusof, Norhasliza
Shrivastava, Keshav N.
The quantum Hall effect : spin-charge locking
description In two-dimensional electron gas when a large magnetic field is applied in one direction and an electric field perpendicular to it, there is a current in a direction perpendicular to both. This current is called the Hall effect. It remained without quantization until 1980 when it was found that the quantization leads to correct measurement of h/e2. Therefore the quantized Hall effect was further studied at high magnetic fields where fractional quantization was found. The fractional charge can arise from the “incompressibility� in the flux quantization. Laughlin wrote a wave function, the excitations of which are fractionally charged quasiparticles. This wave function comes in competition with charge density waves but for a few fractions it does give the ground state. If “incompressibility� is not considered and it is allowed to be compressible, the fractional charge can arise from the angular momentum which appears in the Bohr magneton in the form of g values. Usually the positive spin is considered but we consider both the positive as well as the negative values so that there is a spin-charge coupling. The values thus calculated for the fractional charge agree with the experimental data on the quantum Hall effect. We have followed this subject for a long time and hence have reviewed the subject. There are several interesting concepts which we learn from this subject. The concept of the Hall effect is quite clear particularly when combined with the flux quantization. We learn about the Landau levels and hence the boson character of electrons in two dimensions. We learn that charge becomes a vector quantity and there is spincharge coupling.
format Article
author Abu Kassim, Hasan
Abdul Jalil, Ithnin
Yusof, Norhasliza
Shrivastava, Keshav N.
author_facet Abu Kassim, Hasan
Abdul Jalil, Ithnin
Yusof, Norhasliza
Shrivastava, Keshav N.
author_sort Abu Kassim, Hasan
title The quantum Hall effect : spin-charge locking
title_short The quantum Hall effect : spin-charge locking
title_full The quantum Hall effect : spin-charge locking
title_fullStr The quantum Hall effect : spin-charge locking
title_full_unstemmed The quantum Hall effect : spin-charge locking
title_sort quantum hall effect : spin-charge locking
publisher Ibnu Sina Institute for Fundamental Science Studies
publishDate 2006
url http://eprints.utm.my/id/eprint/31/1/jfs055062.pdf
http://eprints.utm.my/id/eprint/31/
http://www.ibnusina.utm.my/
_version_ 1643643018399449088
score 13.160551