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Bloch electrons in a magnetic field
Authors:L.A.C. Malbouisson  N.J. Parada  I.C. da Cunha Lima
Affiliation:Instituto de Fi̋sica “Gleb Wataghin”, Universidade Estadual de Campinas, CP 1170, Campinas SP, Brasil
Abstract:A complete set of basis functions for the expansion of the wavefunction of a Bloch electron in a uniform magnetic field is derived. In the empty lattice limit this set gives the appropriate Landau free-electron wavefunctions, contrary to the Roth functions which in that limit are plane waves.
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