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16 April 2024
 
  » arxiv » cond-mat/9702077

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Critical exponents of the quantum phase transition in a planar antiferromagnet
Matthias Troyer ; Masatoshi Imada ; Kazuo Ueda ;
Date 10 Feb 1997
Subject Strongly Correlated Electrons; Statistical Mechanics; Superconductivity | cond-mat.str-el cond-mat.stat-mech cond-mat.supr-con hep-lat
AbstractWe 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. The critical exponents beta, nu and eta agree within our errors with the classical 3D O(3) exponents, expected from a mapping to the nonlinear sigma model. This confirms the conjecture of Chubukov, Sachdev and Ye [Phys. Rev. B 49, 11919 (1994)] that the Berry phase terms in the planar Heisenberg antiferromagnet are dangerously irrelevant.
Source arXiv, cond-mat/9702077
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