Poisson-Dirichlet distributions and weakly first-order spin-nematic phase transitions

被引:2
作者
Caci, Nils [1 ,2 ]
Muhlbacher, Peter [3 ]
Ueltschi, Daniel [3 ]
Wessel, Stefan [1 ,2 ]
机构
[1] Rhein Westfal TH Aachen, Inst Theoret Solid State Phys, JARA FIT, D-52056 Aachen, Germany
[2] Rhein Westfal TH Aachen, JARA CSD, D-52056 Aachen, Germany
[3] Univ Warwick, Dept Math, Coventry CV4 7AL, England
关键词
MODEL; ORDER; LAW;
D O I
10.1103/PhysRevB.107.L020409
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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 PoissonDirichlet 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.
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页数:5
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