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Monte Carlo study of a two-dimensional quantum ferromagnet
2000 (English)In: Physical Review B. Condensed Matter and Materials Physics, ISSN 1098-0121, E-ISSN 1550-235X, Vol. 61, no 1, 364-374 p.Article in journal (Refereed) Published
Abstract [en]

We present quantum Monte Carlo results for the field and temperature dependence of the magnetization and the spin lattice relaxation rate 1/T-1 of a two-dimensional S = 1/2 quantum Heisenberg ferromagnet. The Monte Carlo method, which yields results free of systematic errors, is described in detail. The high accuracy of the calculated magnetization allows for stringent tests of recent approximate analytical calculations. We also compare our results with recent experimental data for a nu = 1 quantum Hall ferromagnet, which is expected to be well described by the Heisenberg model. The dynamic response function needed to extract 1/T-1 is obtained using maximum-entropy analytic continuation of the corresponding imaginary-time dependent correlation function. We discuss the reliability of this approach.

Place, publisher, year, edition, pages
2000. Vol. 61, no 1, 364-374 p.
Keyword [en]
2-dimensional heisenberg-model, spin systems, phase-transitions, maximum-entropy, simulations, dynamics, temperature, chain, time, nmr
URN: urn:nbn:se:kth:diva-19531ISI: 000085281400061OAI: diva2:338223
QC 20100525Available from: 2010-08-10 Created: 2010-08-10Bibliographically approved

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Henelius, Patrik
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