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Extended States on the Landau Levels with Disorder Export

EPL (Europhysics Letters), Vol. 21, No. 4. (1993), pp. 489-494.

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extended landau levels states

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We study an electron in a two-dimensional system of random point scatterers placed on the sites of a regular square lattice subject to a perpendicular magnetic field B. When the energy equals the Landau energy en(B) (n = 0, 1,...) above a certain magnetic field Bn (which corresponds to the presence of n + 1 flux quanta Ph0 = hc/e per an elementary square) we find analytically disorder-independent extended eigenstates.


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