Phase transitions in full counting statistics of free fermions and directed polymers
We consider directed polymers in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mn>1</a:mn><a:mo>+</a:mo><a:mn>1</a:mn></a:math> 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.
Authors
- D. M. Gangardt (ORCID: https://orcid.org/0000-0002-6534-3878)
- Alexander G. Abanov (ORCID: https://orcid.org/0000-0001-9731-9568)
- Samuel H. Pickering
- James S. Pallister (ORCID: https://orcid.org/0009-0004-0954-794X)
Institutions
- Stony Brook University (US)
- University of Birmingham (GB)
Publication Details
- Journal
- Physical Review Research
- Published
- 2025-04-08
- DOI
- https://doi.org/10.1103/physrevresearch.7.l022008
- Primary Topic
- Random Matrices and Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Weizmann UK
- Agence Nationale de la Recherche
- Weizmann Institute of Science
- Centre National de la Recherche Scientifique
- Institut Henri Poincaré
- Sorbonne Université
- Division of Materials Research