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Title
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Hamiltonian of a many-electron system with single-electron and electron-pair states in a two-dimensional periodic potential
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Author
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Abstract
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| Based on the metastable electron-pair energy band in a two-dimensional (2D) periodic potential obtained previously by Hai and Castelano [J. Phys.: Condens. Matter 26, 115502 (2014)], we present in this work a Hamiltonian of many electrons consisting of single electrons and electron pairs in the 2D system. The electron-pair states are metastable of energies higher than those of the single-electron states at low electron density. We assume two different scenarios for the single-electron band. When it is considered as the lowest conduction band of a crystal, we compare the obtained Hamiltonian with the phenomenological model Hamiltonian of a boson-fermion mixture proposed by Friedberg and Lee [Phys. Rev. B 40, 6745 (1989)]. Single-electron-electron-pair and electron-pair-electron-pair interaction terms appear in our Hamiltonian and the interaction potentials can be determined from the electron-electron Coulomb interactions. When we consider the single-electron band as the highest valence band of a crystal, we show that holes in this valence band are important for stabilization of the electron-pair states in the system. |
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Language
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English
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Source (journal)
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European physical journal : B : condensed matter and complex systems. - Berlin
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Publication
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Berlin
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2015
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ISSN
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1434-6028
[print]
1434-6036
[online]
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DOI
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10.1140/EPJB/E2014-50686-X
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Volume/pages
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88
:1
(2015)
, 5 p.
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Article Reference
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20
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ISI
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000347776800005
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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