Reweighting histogram technique for the quantum Heisenberg ferromagnet

• Published in: Computer physics communications 2002-06, Vol.146 (1), p.16-23
• Main Authors: de Souza, Adauto J.F., Lyra, M.L.
• Format: Article
• Language: English
• Subjects: Condensed matter: electronic structure, electrical, magnetic, and optical properties; Exact sciences and technology; General theory and models of magnetic ordering; Magnetic properties and materials; Physics; Quantized spin models
• ISSN: 0010-4655; 1879-2944
• DOI: 10.1016/S0010-4655(02)00430-7

In this work, we extend the reweighting histogram technique (RHT) to make it suitable for the study of quantum spin systems. Combining the Handscomb quantum Monte Carlo method with RHT, we compute some equilibrium critical parameters for the quantum S=1/2 Heisenberg ferromagnet on simple cubic lattices of sizes up to L=48. We found k B T c / J=1.67764(2), U ∗=0.4504(1) , γ=1.397(20), β=0.360(6) and ν=0.705(10). These are in perfect agreement with the best field theory and high temperature series results. Also, we found that the auto-correlation time near criticality scales roughly with the system's volume. Potential applications of the method to the study of general quantum spin systems are discussed.