Quantum phase transitions in disordered dimerized quantum spin models and the Harris criterion

Dao-Xin Yao, Jonas Gustafsson, E. W. Carlson, and Anders W. Sandvik
Phys. Rev. B 82, 172409 – Published 19 November 2010

Abstract

We use quantum Monte Carlo simulations to study effects of disorder on the quantum phase transition occurring versus the ratio g=J/J in square-lattice dimerized S=1/2 Heisenberg antiferromagnets with intradimer and interdimer couplings J and J. The dimers are either randomly distributed (as in the classical dimer model), or come in parallel pairs with horizontal or vertical orientation. In both cases the transition violates the Harris criterion, according to which the correlation-length exponent should satisfy ν1. We do not detect any deviations from the three-dimensional O(3) universality class obtaining in the absence of disorder (where ν0.71). We discuss special circumstances which allow ν<1 for the type of disorder considered here.

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  • Received 7 June 2010

DOI:https://doi.org/10.1103/PhysRevB.82.172409

©2010 American Physical Society

Authors & Affiliations

Dao-Xin Yao1, Jonas Gustafsson2,3, E. W. Carlson4, and Anders W. Sandvik2

  • 1State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-sen University, Guangzhou 510275, China
  • 2Department of Physics, Boston University, 590 Commonwealth Avenue, Boston, Massachusetts 02215, USA
  • 3Theoretical Physics, Royal Institute of Technology, SE-10691 Stockholm, Sweden
  • 4Department of Physics, Purdue University, West Lafayette, Indiana 47907, USA

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Vol. 82, Iss. 17 — 1 November 2010

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