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Quartic lattice interactions,soliton‐like excitations,and electron pairing in one‐dimensional anharmonic crystals
Authors:M G Velarde  L Brizhik  A P Chetverikov  L Cruzeiro  W Ebeling  G Röpke
Institution:1. Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XXIII, 1, Madrid 28040, Spain;2. Bogolyubov Institute for Theoretical Physics, Metrolohichna Str., 14b, Kyiv 03680, Ukraine;3. Faculty of Physics, Chernyshevsky State University, Astrakhanskaya Str., 83, Saratov 410012, Russia;4. CCMAR and FCT, Universidade do Algarve, Portugal, Campus de Gambelas, Faro 8005‐139, Portugal;5. Institut für Physik, Humboldt Universit?t, Newtonstrasse 15, Berlin 12489, Germany;6. Institut für Physik, Universit?t Rostock, Universit?tsplatz 3, Rostock 18051, Germany
Abstract:In this study, it is shown that two added, excess electrons with opposite spins in one‐dimensional crystal lattices with quartic anharmonicity may form a bisolectron, which is a localized bound state of the paired electrons to a soliton‐like lattice deformation. It is also shown that when the Coulomb repulsion is included, the wave function of the bisolectron has two maxima, and such a state is stable in lattices with strong enough electron (phonon/soliton)–lattice coupling. Furthermore, the energy of the bisolectron is shown to be lower than the energy of the state with two separate, independent electrons, as even with account of the Coulomb repulsion the bisolectron binding energy is positive. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2011
Keywords:anharmonic lattice  solectron  electron pairing  bisolectron
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