Monte Carlo determination of the low-energy constants of a spin-(1/2) Heisenberg model with spatial anisotropy

Journal Article · Wed Jul 15 00:00:00 EDT 2009 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PHYSREVB.80.033104· OSTI ID:21287042

Jiang, F -J; Nyfeler, M ^[1]; Kaempfer, F ^[2]

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1. Center for Research and Education in Fundamental Physics, Institute for Theoretical Physics, Bern University, Sidlerstrasse 5, CH-3012 Bern (Switzerland)
2. Department of Physics, Condensed Matter Theory Group, Massachusetts Institute of Technology (MIT), 77 Massachusetts Avenue, Cambridge, Massachusetts 02139 (United States)

Motivated by the possible mechanism for the pinning of the electronic liquid crystal direction in YBa{sub 2}Cu{sub 3}O{sub 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 J{sub 1} and J{sub 2} on the square lattice. In particular, the low-energy constants spin stiffness {rho}{sub s}, staggered magnetization M{sub 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 {rho}{sub s1} and {rho}{sub s2} as a function of the ratio J{sub 2}/J{sub 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.

• OSTI ID: 21287042
• Journal Information: Physical Review. B, Condensed Matter and Materials Physics, Vol. 80, Issue 3; Other Information: DOI: 10.1103/PhysRevB.80.033104; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1098-0121
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANISOTROPY
ANTIFERROMAGNETISM
CHIRALITY
COPPER COMPOUNDS
COUPLING
FLEXIBILITY
FORECASTING
HEISENBERG MODEL
LIQUID CRYSTALS
MAGNETIZATION
MAGNONS
MONTE CARLO METHOD
OXYGEN COMPOUNDS
PERTURBATION THEORY
SERIES EXPANSION
SPIN
SPIN WAVES
TETRAGONAL LATTICES
VELOCITY
YTTRIUM COMPOUNDS