Ground state of one-dimensional fermion-phonon systems
Mathematical Physics
2024-09-13 v3 math.MP
Abstract
A new framework for the reflection positivity, based on order-preserving operator inequalities, is proposed. This framework is utilized to investigate one-dimensional fermion-phonon systems, with a particular focus on the detailed examination of ground state properties. Our analysis reveals that the reflection positivity provides a consistent description of the charge-density-wave (CDW) order in such systems. Additionally, we establish the existence of CDW long-range order in the ground state when the Coulomb interaction is long range.
Keywords
Cite
@article{arxiv.2104.03530,
title = {Ground state of one-dimensional fermion-phonon systems},
author = {Tadahiro Miyao and Seigo Okida and Hayato Tominaga},
journal= {arXiv preprint arXiv:2104.03530},
year = {2024}
}