Phase transitions in full counting statistics of free fermions and directed polymers

2024/05/21 by James S. Pallister, Samuel H. Pickering, Pallister, James S. +5 · 2 citations
Chemistry · Mathematics · #FOS: Physical sciences #History and advancements in chemistry #Random Matrices and Applications #Statistical Mechanics (cond-mat.stat-mech)

paper · pdf · doi:10.48550/arxiv.2405.12651

openalex publication_date 2024/05/21 · openalex created_date 2024/05/23 · openalex updated_date 2026/07/28

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.

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