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math-ph2002★ 40 cited
Large gaps in point-coupled periodic systems of manifolds
J. Bruening, P. Exner, V. A. Geyler
We study a free quantum motion on periodically structured manifolds composed of elementary two-dimensional "cells" connected either by linear segments or through points where the t…
cond-mat.mes-hall2002
The geometric structure of the Landau bands
J. Bruening, S. Yu. Dobrokhotov, V. A. Geyler +1
We have proposed a semiclassical explanation of the geometric structure of the spectrum for the two-dimensional Landau Hamiltonian with a two-periodic electric field without any ad…