Theory of quantum Hall effect

Details Theory of quantum Hall effect Theory of quantum Hall effect

Mar 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003aps..mar.j1108s&link_type=abstract

American Physical Society, Annual APS March Meeting 2003, March 3-7, 2003, , abstract #J1.108

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We present a theory of quantum Hall effect. Both the integer as well as fractional quantum Hall effects are explained by a single theory. The charge of the quasiparticles is written in terms of angular momenta operators, L and S. For L=0, S=1/2 we obtain a quasiparticle of zero charge and spin 1/2. At these values, the resistivity becomes infinity. Various values of L produce quasiparticles of fractional charge. For L=0, S=1/2, an effective charge of e=1/3 is obtained. There is a particle-hole symmetry so that the masses of some of the quasiparticles are equal to those of others. As the angular momentum changes, a whole family of charges emerge. Full details of the theory are given in a recent book[1]. 1. K. N. Shrivastava, Introduction to quantum Hall effect, Nova Science, New York, 2002 [Nova Science Pub.,Inc.,400 Oser Avenue, Suite 1600, Hauppage, N. Y. 11788-3619. Tel:(631)-231-7269, ISBN 1-59033-419-1, US$69.00].

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