The numerical value for a universal quantity of a two-dimensional dimerized quantum antiferromagnet

2022/10/26 by Fu-Jiun Jiang, Jiang, Fu-Jiun
Physics and Astronomy · #Advanced Condensed Matter Physics #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity in MgB2 and Alloys

paper · pdf · doi:10.48550/arxiv.2210.14471

openalex publication_date 2022/10/26 · openalex created_date 2022/11/02 · openalex updated_date 2026/07/28

Abstract

The numerical value of a universal quantity associated with the quantum critical regime, namely χ_u c²/T, for a two-dimensional (2D) dimerized spin-1/2 antiferromagnet is calculated using the quantum Monte Carlo simulations (QMC). Here χ_u, c, and T are the uniform susceptibility, the spin-wave velocity, and the temperature, respectively. By simulating large lattices at moderately low temperatures, we find χ_u c²/T ∼ 0.32. Our estimation of χ_u c²/T deviates from the related analytic prediction but agrees with recent numerical calculations of other 2D dimerized spin-1/2 antiferromagnets.

Related

• A Monte Carlo examination for the numerical values of universal quantities in spatial dimension two
• Monte Carlo determination of the critical exponents for a quantum phase transition of a dimerized spin-1/2 Heisenberg model
• Universal properties of three-dimensional random-exchange quantum antiferromagnets
• Quantum Antiferromagnets in Two Dimensions
• A determination of the low energy parameters of the 2-d Heisenberg antiferromagnet