Long-range charge order in the extended Holstein--Hubbard model
arXiv:1601.00765 · doi:10.1007/s10955-016-1617-6
Abstract
This study investigated the extended Holstein--Hubbard model at half-filling as a model for describing interplay of the 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 at sufficiently low temperature in three or more dimensions. As a result, we rigorously justify the phase competition between the antiferromagnetic and charge orders.
23 pages (Revised and improved version), to appear in J. Stat. Phys