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Numerical Investigation of the Fractional Quantum Hall Effect
Abstract The fractional quantum Hall effect1,2 is characterized by appearance of plateaus in the conductivity tensor. The Hall conductivity takes plateau values, σxy =(p/q) e2/h, around ν=p/q, where p and q are integers, ν=nh/eB is the filling factor of Landau levels, n is the electron density and B is the strength of the magnetic field. At the same time the longitudinal conductivity σxx becomes very small. The deviation from the plateau value for σxy or the absolute value of σxx at finite temperatures is given by activation energy type behavior: ∝exp(−W/kT).2,3
Numerical Investigation of the Fractional Quantum Hall Effect
Abstract The fractional quantum Hall effect1,2 is characterized by appearance of plateaus in the conductivity tensor. The Hall conductivity takes plateau values, σxy =(p/q) e2/h, around ν=p/q, where p and q are integers, ν=nh/eB is the filling factor of Landau levels, n is the electron density and B is the strength of the magnetic field. At the same time the longitudinal conductivity σxx becomes very small. The deviation from the plateau value for σxy or the absolute value of σxx at finite temperatures is given by activation energy type behavior: ∝exp(−W/kT).2,3
Numerical Investigation of the Fractional Quantum Hall Effect
Yoshioka, Daijiro (Autor:in)
Recent Progress in Many-Body Theories ; 1 ; 103-112
01.01.1988
10 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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