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arXiv · 2405.12651

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

James S. Pallister·Samuel H. Pickering·Dimitri M. Gangardt·Alexander G. Abanov
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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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James S. Pallister, Samuel H. Pickering, Dimitri M. Gangardt, Alexander G. Abanov. 2024-05-21. Phase transitions in full counting statistics of free fermions and directed polymers. https://arxiv.org/abs/2405.12651

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