High-precision determination of low-energy effective parameters for a two-dimensional Heisenberg quantum antiferromagnet

F. -J. Jiang, U. J. Wiese

Research output: Contribution to journalArticle

23 Citations (Scopus)


The two-dimensional (2D) spin-12 Heisenberg antiferromagnet with exchange coupling J is investigated on a periodic square lattice of spacing a at very small temperatures using the loop-cluster algorithm. Monte Carlo data for the staggered and uniform susceptibilities are compared with analytic results obtained in the systematic low-energy effective field theory for the staggered magnetization order parameter. The low-energy parameters of the effective theory, i.e., the staggered magnetization density Ms=0.307 43(1)/a2, the spin stiffness ρs=0.180 81(11)J, and the spin wave velocity c=1.6586(3)Ja, are determined with very high precision. Our study may serve as a test case for the comparison of lattice quantum chromodynamics Monte Carlo data with analytic predictions of the chiral effective theory for pions and nucleons, which is vital for the quantitative understanding of the strong interaction at low energies.

Original languageEnglish
Article number155120
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number15
Publication statusPublished - 2011 Apr 26


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this