Critical Exponents of the Quantum Phase Transition in a Planar Antiferromagnet

Matthias Troyer*, Masatoshi Imada, Kazuo Ueda

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

77 Citations (Scopus)


We have performed a large scale quantum Monte Carlo study of the quantum phase transition in a planar spin-1/2 Heisenberg antiferromagnet with CaV4O9 structure. We obtain a dynamical exponent z = 1.018 ± 0.02, consistent with Lorentz invariance. The critical exponents β, ν and η agree within our errors with the classical 3D O(3) exponents, expected from mapping to the nonlinear sigma model.

Original languageEnglish
Pages (from-to)2957-2960
Number of pages4
Journaljournal of the physical society of japan
Issue number10
Publication statusPublished - 1997 Oct
Externally publishedYes


  • Berry phase
  • Critical exponent
  • Non-linear sigma model
  • Quantum Heisenberg antiferromagnet
  • Quantum Monte Carlo
  • Quantum critical
  • Quantum disordered
  • Quantum phase transition
  • Renormalized classical

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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