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Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions
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Caci, Nils, Muhlbacher, Peter, Ueltschi, Daniel and Wessel, Stefan (2023) Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions. Physical Review B (Condensed Matter and Materials Physics), 107 (2). L020409. doi:10.1103/PhysRevB.107.L020409 ISSN 1098-0121.
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Official URL: https://doi.org/10.1103/PhysRevB.107.L020409
Abstract
We provide a quantitative characterization of generic weakly first-order thermal phase transitions out of planar spin-nematic states in three-dimensional spin-one quantum magnets, based on calculations using Poisson-Dirichlet distributions (PDs) within a universal loop model formulation, combined with large-scale quantum Monte Carlo calculations. In contrast to earlier claims, the thermal melting of the nematic state is not continuous, instead a weakly first-order transition is identified from both thermal properties and the distribution of the nematic order parameter. Furthermore, based on PD calculations, we obtain exact results for the order parameter distribution and Binder cumulants at the discontinuous melting transition. Our findings establish the thermal melting of planar spin-nematic states as a generic platform for quantitative approaches to weakly first-order phase transitions in quantum systems with a continuous SU(2) internal symmetry.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Phase transformations (Statistical physics) -- Mathematical models, Poisson distribution, Quantum theory -- Mathematical models | ||||||
Journal or Publication Title: | Physical Review B (Condensed Matter and Materials Physics) | ||||||
Publisher: | American Physical Society | ||||||
ISSN: | 1098-0121 | ||||||
Official Date: | 25 January 2023 | ||||||
Dates: |
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Volume: | 107 | ||||||
Number: | 2 | ||||||
Article Number: | L020409 | ||||||
DOI: | 10.1103/PhysRevB.107.L020409 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Reuse Statement (publisher, data, author rights): | © 2023 American Physical Society | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 30 January 2023 | ||||||
Date of first compliant Open Access: | 30 January 2023 | ||||||
Open Access Version: |
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