IJAPM 2013 Vol.3(3): 208-216 ISSN: 2010-362X
DOI: 10.7763/IJAPM.2013.V3.207
DOI: 10.7763/IJAPM.2013.V3.207
Universal Introduction to the Quantum Hall Effect
Keshav N. Shrivastava
Abstract—The Hall effect is the generation of a current perpendicular to the direction of applied electric as well as applied magnetic field in a metal or a semiconductor. It is used to determine the concentration of electrons. The Quantum Hall effect has been discovered by von Klitzing in Germany and by Tsui, Stormer and Gossard in U.S.A. Robert Laughlin also in U.S.A. explained the quantization of Hall current by using “flux quantization” and introduced incompressibility to obtain fractional charge. We have developed the theory of the quantum Hall effect by using the theory of angular momentum. Our predicted fractions are in accord with those measured. Von Klitzing in 1985, and Tsui, Stormer and Laughlin in 1998 received the Nobel prize for their discoveries. In this lecture, we report a review of the subject as well as emphasize our explanation of the observed phenomena. We use spin to explain the fractional charge and hence we discover spin-charge coupling. We find a new way to quantize the flux and compare our explanation with other prize winning researches.
Index Terms—Angular momentum, flux quantization, hall effect, modified landau levels, modified lande’s g value formula.
K. N. Shrivastava is with the University of Hyderabad, Hyderabad 500046, India (e-mail: keshav1001@yahoo.com).
Index Terms—Angular momentum, flux quantization, hall effect, modified landau levels, modified lande’s g value formula.
K. N. Shrivastava is with the University of Hyderabad, Hyderabad 500046, India (e-mail: keshav1001@yahoo.com).
Cite:Keshav N. Shrivastava, "Universal Introduction to the Quantum Hall Effect," International Journal of Applied Physics and Mathematics vol. 3, no. 3, pp. 208-216, 2013.
General Information
ISSN: 2010-362X (Online)
Abbreviated Title: Int. J. Appl. Phys. Math.
Frequency: Quarterly
APC: 500USD
DOI: 10.17706/IJAPM
Editor-in-Chief: Prof. Haydar Akca
Abstracting/ Indexing: INSPEC(IET), CNKI, Google Scholar, EBSCO, Chemical Abstracts Services (CAS), etc.
E-mail: ijapm@iap.org
-
Sep 20, 2024 News!
IJAPM Vol 14, No 3 has been published online! [Click]
-
Jun 26, 2024 News!
IJAPM Vol 14, No 2 has been published online [Click]
-
Mar 27, 2024 News!
IJAPM Vol 14, No 1 has been published online [Click]
-
Jan 02, 2024 News!
IJAPM will adopt Article-by-Article Work Flow For the Quarterly journal, each issue will be released at the end of the issue month
-
Jan 02, 2024 News!
The papers published in Vol 13, No 4 has received dois from Crossref
- Read more>>