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.
@article{arxiv.1601.00765,
title = {Long-range charge order in the extended Holstein--Hubbard model},
author = {Tadahiro Miyao},
journal= {arXiv preprint arXiv:1601.00765},
year = {2016}
}
Comments
23 pages (Revised and improved version), to appear in J. Stat. Phys