Monte Carlo determination of the low-energy constants of a spin-1/2 Heisenberg model with spatial anisotropy
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Jiang-2009-Monte Carlo determin.pdf
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Author(s)
Jiang, Fu-Jiun
Kampfer, Florian
Nyfeler, M.
Date Issued
July 2009
Journal
Physical review B
Publisher
American Physical Society
Citation
Jiang, F.-J., F. Kämpfer, and M. Nyfeler. “Monte Carlo Determination of the Low-energy Constants of a Spin-12 Heisenberg Model with Spatial Anisotropy.” Physical Review B 80.3 (2009) : n. pag. © 2009 The American Physical Society
Version
Final published version
Abstract
Motivated by the possible mechanism for the pinning of the electronic liquid crystal direction in YBa2Cu3O6.45 [YBa subscript 2 Cu supscript 3 O subscript 6.45] as proposed by Pardini et al. [Phys. Rev. B 78, 024439 (2008)], we use the first-principles Monte Carlo method to study the spin-1/2 Heisenberg model with antiferromagnetic couplings J1 [J subscript 1] and J2 [J subscript 2] on the square lattice. In particular, the low-energy constants spin stiffness ρs [p subscrit s], staggered magnetization Ms [M subscript s], and spin wave velocity c are determined by fitting the Monte Carlo data to the predictions of magnon chiral perturbation theory. Further, the spin stiffnesses ρs1 [p subscript s1] and ρs2 [p subscript s2] as a function of the ratio J2/J1 [J subscript 2 / J subscript 1] of the couplings are investigated in detail. Although we find a good agreement between our results with those obtained by the series expansion method in the weakly anisotropic regime, for strong anisotropy we observe discrepancies.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.80.033104
