The Topological Nature of <i>R</i> <sub> <i>V</i> </sub> − <i>R</i> <sub> <i>I</i> </sub> Phase Transition in N‐Paraffins

Abstract The phase transition is investigated in rotator phase systems using the XY model on an orthohexagonal lattice. In contrast to the first‐order behavior induced by coupling with the Herringbone order parameter amplitude, it is showed that, in its absence, the transition is second‐order and mediated by BKT vortices. Employing low‐ and high‐temperature expansions, Villain duality, and simulations on an honeycomb lattice, a close agreement between theory and numerics is found. The BKT transition temperature obtained from analytics matches simulation results within 13%, confirming the universality of this topological transition.

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Publication Details

Journal
Advanced Theory and Simulations
Published
2025-10-14
DOI
https://doi.org/10.1002/adts.202500995
Primary Topic
Material Dynamics and Properties
Type
article
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The Topological Nature of R V − R I Phase Transition in N‐Paraffins

Prabir K. Mukherjee, Sumanta Mukherjee, Soumya Kanti Ganguly
Advanced Theory and Simulations
Material Dynamics and Properties
article

The Topological Nature of R V − R I Phase Transition in N‐Paraffins

Prabir K. Mukherjee, Sumanta Mukherjee, Soumya Kanti Ganguly
article en

Abstract

Abstract The phase transition is investigated in rotator phase systems using the XY model on an orthohexagonal lattice. In contrast to the first‐order behavior induced by coupling with the Herringbone order parameter amplitude, it is showed that, in its absence, the transition is second‐order and mediated by BKT vortices. Employing low‐ and high‐temperature expansions, Villain duality, and simulations on an honeycomb lattice, a close agreement between theory and numerics is found. The BKT transition temperature obtained from analytics matches simulation results within 13%, confirming the universality of this topological transition.

Advanced Theory and SimulationsVol. 9(1)
Oil and Natural Gas Corporation (India) (IN), IBM Research - India (IN), IBM (India) (IN), Serampore College (IN)
Openalex Percentile: Top 77%
Material Dynamics and Properties
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The Topological Nature of <i>R</i> <sub> <i>V</i> </sub> − <i>R</i> <sub> <i>I</i> </sub> Phase Transition in N‐Paraffins — Prabir K. Mukherjee, Sumanta Mukherjee, et al. · Advanced Theory and Simulations (2025) | TGRS Research Map | TGRS