2013/07/23 by Fu-Jiun Jiang, Jiang, F. -J.
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Physics of Superconductivity and Magnetism #Quantum many-body systems #Strongly Correlated Electrons (cond-mat.str-el) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1307.6104
openalex publication_date 2013/07/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We simulate the spin-1/2 Heisenberg model with a spatially staggered anisotropy using first principles Monte Carlo method. In particular, the critical exponents β/ν and ω associated with the quantum phase transition induced by dimerization are determined with high precision. Here β and ν are the exponents related to the magnetization and the correlation length, respectively. In addition, ω is the confluent exponent. With very accurate data of the relevant observables, we first obtain a value of ω compatible with the known result in the O(3) universality class. Further, using either the value of ω determined here or the established one in the literature, the exponent β/ν calculated from our data is in quantitative agreement with the known result β/ν= 0.519(1) as well. Our investigation suggests that the quantum phase transition studied here is fully consistent with the O(3) universality class.