Hamiltonian of a many-electron system with single-electron and electron-pair states in a two-dimensional periodic potential
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 <Emphasis Type="Bold">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 <Emphasis Type="Bold">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. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2015
Year of publication: |
2015
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Authors: | Hai, Guo-Qiang ; Peeters, François |
Published in: |
The European Physical Journal B - Condensed Matter and Complex Systems. - Springer. - Vol. 88.2015, 1, p. 1-5
|
Publisher: |
Springer |
Subject: | Solid State and Materials |
Saved in:
Online Resource
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