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

F. J. Jiang, F. Kämpfer, M. Nyfeler

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Motivated by the possible mechanism for the pinning of the electronic liquid crystal direction in YBa2 Cu3 O6.45 as proposed by Pardini [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 and J2 on the square lattice. In particular, the low-energy constants spin stiffness ρs, staggered magnetization Ms, 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 and ρs2 as a function of the ratio J2 / J1 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.

Original languageEnglish
Article number033104
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume80
Issue number3
DOIs
Publication statusPublished - 2009 Aug 6

Fingerprint

Anisotropy
Stiffness
Liquid Crystals
anisotropy
Spin waves
stiffness
Liquid crystals
Magnetization
Monte Carlo methods
series expansion
magnons
Monte Carlo method
energy
perturbation theory
liquid crystals
magnetization
predictions
electronics
Direction compound

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Monte Carlo determination of the low-energy constants of a spin- 1 2 Heisenberg model with spatial anisotropy. / Jiang, F. J.; Kämpfer, F.; Nyfeler, M.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 80, No. 3, 033104, 06.08.2009.

Research output: Contribution to journalArticle

@article{b7e9bfe814f143bfa4c6a217e529e2a5,
title = "Monte Carlo determination of the low-energy constants of a spin- 1 2 Heisenberg model with spatial anisotropy",
abstract = "Motivated by the possible mechanism for the pinning of the electronic liquid crystal direction in YBa2 Cu3 O6.45 as proposed by Pardini [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 and J2 on the square lattice. In particular, the low-energy constants spin stiffness ρs, staggered magnetization Ms, 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 and ρs2 as a function of the ratio J2 / J1 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.",
author = "Jiang, {F. J.} and F. K{\"a}mpfer and M. Nyfeler",
year = "2009",
month = "8",
day = "6",
doi = "10.1103/PhysRevB.80.033104",
language = "English",
volume = "80",
journal = "Physical Review B - Condensed Matter and Materials Physics",
issn = "1098-0121",
number = "3",

}

TY - JOUR

T1 - Monte Carlo determination of the low-energy constants of a spin- 1 2 Heisenberg model with spatial anisotropy

AU - Jiang, F. J.

AU - Kämpfer, F.

AU - Nyfeler, M.

PY - 2009/8/6

Y1 - 2009/8/6

N2 - Motivated by the possible mechanism for the pinning of the electronic liquid crystal direction in YBa2 Cu3 O6.45 as proposed by Pardini [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 and J2 on the square lattice. In particular, the low-energy constants spin stiffness ρs, staggered magnetization Ms, 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 and ρs2 as a function of the ratio J2 / J1 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.

AB - Motivated by the possible mechanism for the pinning of the electronic liquid crystal direction in YBa2 Cu3 O6.45 as proposed by Pardini [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 and J2 on the square lattice. In particular, the low-energy constants spin stiffness ρs, staggered magnetization Ms, 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 and ρs2 as a function of the ratio J2 / J1 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.

UR - http://www.scopus.com/inward/record.url?scp=69549095897&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=69549095897&partnerID=8YFLogxK

U2 - 10.1103/PhysRevB.80.033104

DO - 10.1103/PhysRevB.80.033104

M3 - Article

AN - SCOPUS:69549095897

VL - 80

JO - Physical Review B - Condensed Matter and Materials Physics

JF - Physical Review B - Condensed Matter and Materials Physics

SN - 1098-0121

IS - 3

M1 - 033104

ER -