Phase transition in the Peierls model for polyacetylene
Mathematical Physics
2023-10-13 v3 Other Condensed Matter
math.MP
Abstract
We consider the Peierls model for closed polyactetylene chains with an even number of carbon atoms as well as infinite chains, in the presence of temperature. We prove the existence of a critical temperature below which the chain is dimerized, and above which it is 1-periodic. The chain behaves like an insulator below the critical temperature and like a metal above it. We characterize the critical temperature in the thermodynamic limit model, and prove that it is exponentially small in the rigidity of the chain. We study the phase transition around this critical temperature.
Cite
@article{arxiv.2211.09588,
title = {Phase transition in the Peierls model for polyacetylene},
author = {David Gontier and Adéchola Kouande and Eric Séré},
journal= {arXiv preprint arXiv:2211.09588},
year = {2023}
}
Comments
Final version to appear in Ann. Henri Poincar{\'e}