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Quartic lattice interactions, soliton‐like excitations, and electron pairing in one‐dimensional anharmonic crystals
Author(s) -
Velarde M. G.,
Brizhik L.,
Chetverikov A. P.,
Cruzeiro L.,
Ebeling W.,
Röpke G.
Publication year - 2011
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.23282
Subject(s) - anharmonicity , condensed matter physics , electron , physics , soliton , lattice (music) , spins , coulomb , quartic function , pairing , bound state , phonon , quantum mechanics , nonlinear system , superconductivity , mathematics , acoustics , pure mathematics
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