Phase transitions in full counting statistics of free fermions and directed polymers
Statistical Mechanics
2024-05-22 v1
Abstract
We consider directed polymers in 1+1 spatial dimension under action of an external repulsive potential along a line. Using the exact mapping onto imaginary time evolution of free fermions we find that for sufficiently strong potential the system of polymers undergoes a continuous configurational phase transition. The transition corresponds to merging empty regions in the dominant limit shape.
Keywords
Cite
@article{arxiv.2405.12651,
title = {Phase transitions in full counting statistics of free fermions and directed polymers},
author = {James S. Pallister and Samuel H. Pickering and Dimitri M. Gangardt and Alexander G. Abanov},
journal= {arXiv preprint arXiv:2405.12651},
year = {2024}
}
Comments
5 pages, 2 figures + Supplemental material 7 pages, 2 figures