English

Stability of charge density waves in electron-phonon systems

Mathematical Physics 2024-03-12 v4 Statistical Mechanics Strongly Correlated Electrons math.MP

Abstract

We demonstrate that electron-phonon interactions enhance the stability of charge density waves in low-temperature phases of many-electron systems. Our proof method involves an appropriate application of the Pirogov--Sinai theory to electron-phonon systems. Combining our findings with existing results, we obtain rigorous information regarding the low-temperature phase diagram for half-filled electron-phonon systems.

Keywords

Cite

@article{arxiv.2303.05667,
  title  = {Stability of charge density waves in electron-phonon systems},
  author = {Tadahiro Miyao},
  journal= {arXiv preprint arXiv:2303.05667},
  year   = {2024}
}

Comments

This version corrects the definition of the order parameter and the assertion in Theorem 1.1

R2 v1 2026-06-28T09:10:24.203Z