Localised solutions of Hartree equations for narrow-band crystals |
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| Authors: | Claudio Albanese |
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| Affiliation: | (1) Theoretical Physics, ETH-Hönggerberg, CH-8093 Zürich, Switzerland;(2) Present address: Department of Mathematics, University of California, 90024 Los Angeles, CA, USA |
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| Abstract: | We consider the Hartree equations for a system of an infinite number of electrons in a periodic potential consisting of a periodic array of wells. The filling fraction is assumed to be of one electron per well. We prove that if the wells are deep enough to admit a bound state and if they are separated by a distance large enough, then the Hartree equations have a solution in which all single particle wave functions decay exponentially. |
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