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APS

Spin dynamics of low-dimensional quantum antiferromagnets from quantum Monte Carlo simulations

Anders W. Sandvik, Elbio R. Dagotto, Douglas J. Scalapino

Published Mar 1, 1996• 0 citations
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The numerical value of a universal quantity associated with the quantum critical regime, namely χuc2/T, for a two-dimensional (2D) dimerized spin-1/2 antiferromagnet is calculated using the quantum Monte Carlo simulations (QMC). Here χu, 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 χuc2/T∼0.32. Our estimation of χuc2/T deviates from the related analytic prediction but agrees with recent numerical calculations of other 2D dimerized spin-1/2 antiferromagnets.
We investigate the Stochastic Series Expansion (SSE) technique, guided by Sandvik's algorithm of the quantum Monte Carlo simulation for spin-1/2 antiferromagnetic Heisenberg linear chain. The impact of the Monte Carlo steps, lattice sizes, and various temperatures on the variability and fidelity of simulation outcomes are studied. The findings show that the Monte Carlo steps where measurements are made (Msteps), and lattice size are crucial for stabilizing the results. Our results show that for larger lattice sizes, such as L=1024, achieving reliable outcomes necessitates extensive Monte Carlo simulations, specifically. The convergence in the properties is achieved with a high number of Monte Carlo steps starting from 7×10^4. Strong fluctuations are calculated between the results for each magnetic property and the existence of negative and positive in the specific heat at low temperatures.