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arXiv · 2212.14394

PT-Symmetry Breaking Transitions in Polymeric Systems

Tanmoy Pal·Ranjan Modak·Bhabani Prasad Mandal
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Abstract

We show that classical DNA unzipping transition which is equivalently described by quantum mechanical localization-delocalization transition in the ground state of non-Hermitian single impurity Hatano-Nelson Hamiltonian is underpinned by generalized parity ({\bf P})-time reversal ({\bf T}) symmetry breaking transition. We also study the one-dimensional discretized version of Hatano-Nelson model in the presence of the single impurity and random disorder on a finite-size lattice. These discrete models are useful to study unzipping of a single adsorbed polymer from a surface. Our results show that the discrete models also undergo a phase transition from a PT unbroken phase to a broken phase. Interestingly, the generalized PT phase transition points coincide with the localization-delocalization transition for continuum as well as lattice models.

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cond-mat.stat-mechcond-mat.dis-nncond-mat.softquant-ph

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BibTeXRIS

Tanmoy Pal, Ranjan Modak, Bhabani Prasad Mandal. 2022-12-29. PT-Symmetry Breaking Transitions in Polymeric Systems. https://doi.org/10.1103/physreve.111.014421

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