Long-range charge order in the extended Holstein--Hubbard model

Tadahiro Miyao

Published 2016-01-05Version 1

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 interaction is 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 competiton between the antiferromagnetic and charge orders.