Universality in the three-dimensional random bond quantum Heisenberg antiferromagnet

2020/08/04 by Ulvi Kanbur, Kanbur, U., Erol Vatansever +3
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics

paper · pdf · doi:10.48550/arxiv.2008.01464

openalex publication_date 2020/08/04 · openalex created_date 2020/08/10 · openalex updated_date 2026/07/28

Abstract

The three-dimensional quenched random bond diluted (J₁-J₂) quantum Heisenberg antiferromagnet is studied on a simple-cubic lattice. Using extensive stochastic series expansion quantum Monte Carlo simulations, we perform very long runs for L × L × L lattice up to L=48. By employing standard finite-size scaling method, the numerical values of the Néel temperature are determined with high precision as a function of the coupling ratio r=J₂/J₁. Based on the estimated critical exponents, we find that the critical behavior of the considered model belongs to the pure classical 3D O(3) Heisenberg universality class.

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