Interaction and magnetic moment of the electron in quantum Hall effect

Details Interaction and magnetic moment of the electron in quantum Hall effect Interaction and magnetic moment of the electron in quantum Hall effect

2001-03-31

arxiv.org/abs/cond-mat/0104004v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

8 pages

Scientific paper

We introduce s.n where n is the unit vector in the direction of the radius vector and s is the spin, which along with the velocity forms a spin-orbit interaction of the order of v/c whereas the usual spin-orbit interaction is of the order of the square of v/c. The effective fractional charges obtained from this interaction are in good agreement with the experimental data of the quantum Hall effect. The energy of the system diverges as L tends to infinity indicating that there is a phase transformation at the half-filled Landau level.

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