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

James S. Pallister; Samuel H. Pickering; Dimitri M. Gangardt; Alexander G. Abanov

doi:10.1103/PhysRevResearch.7.L022008

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

James S. Pallister
, Samuel H. Pickering
, Dimitri M. Gangardt
, Alexander G. Abanov

University of Birmingham

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	L022008
Journal	Physical Review Research
Volume	7
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevResearch.7.L022008
State	Published - Apr 2025

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10.1103/PhysRevResearch.7.L022008

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title = "Phase transitions in full counting statistics of free fermions and directed polymers",

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

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