Long-Range Charge Order in the Extended Holstein–Hubbard Model

This study investigated the extended Holstein–Hubbard model at half-filling as a model for describing the interplay of electron–electron and electron–phonon couplings. When the electron–phonon and nearest-neighbor electron–electron interactions are strong, we prove the existence of long-range charge...

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Bibliographic Details
Published in:Journal of statistical physics 2016-10, Vol.165 (2), p.225-245
Main Author: Miyao, Tadahiro
Format: Article
Language:English
Subjects:
Analysis
Antiferromagnetism
Couplings
Electron-electron interactions
Low temperature
Mathematical and Computational Physics
Phonons
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Summary:This study investigated the extended Holstein–Hubbard model at half-filling as a model for describing the interplay of electron–electron and electron–phonon couplings. When the electron–phonon and nearest-neighbor electron–electron interactions are strong, we prove the existence of long-range charge order in three or more dimensions at a sufficiently low temperature. As a result, we rigorously justify the phase competition between the antiferromagnetism and charge orders.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-016-1617-6