Energy spectrum of <Emphasis Type="Italic">p</Emphasis> electrons in a plane crystal lattice and in a strong magnetic field |
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Authors: | R O Zaitsev Yu V Mikhailova |
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Institution: | (1) Russian Research Centre Kurchatov Institute, pl. Kurchatova 1, Moscow, 123182, Russia;(2) State Research Center NII Teplopribor, Moscow, 129085, Russia |
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Abstract: | Harper equations are derived for a px, py electronic system. Analysis is carried out for extreme points of the quasi-continuous spectrum in the cases when the number of magnetic flux quanta through a unit cell is a rational number and calculations are made for square and triangular lattices as well as for a honeycomb lattice with two nonequivalent atoms. The possibility of application of the results for explaining the fractional Hall effect is considered. |
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