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Hidden dimer order in the quantum compass model

Source: Phys. Rev. B 82, 060401 (2010); doi:10.1103/PhysRevB.82.060401

Published 12 August 2010

PACS
  • 75.10.Jm
    Quantized spin models (magnetism)
  • 03.67.Pp
    Quantum error correction and other methods for protection against decoherence
  • 05.30.Rt
    Quantum phase transitions
  • 75.30.Et
    Exchange and superexchange interactions in magnetically ordered materials
  • YEAR: 2010
PUBLICATION DATA
Publisher:
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Wojciech Brzezicki1 and Andrzej M. Oleś1,2
1Marian Smoluchowski Institute of Physics, Jagellonian University, Reymonta 4, PL-30059 Kraków, Poland
2Max-Planck-Institut für Festkörperforschung, Heisenbergstrasse 1, D-70569 Stuttgart, Germany
We introduce an exact spin transformation that maps frustrated Zi,jZi,j+1 and Xi,jXi+1,j spin interactions along the rows and columns of the quantum compass model (QCM) on an L×L square lattice to (L−1)×(L−1) quantum spin models with 2(L−1) classical spins. Using the symmetry properties we unravel the hidden dimer order in the QCM, with equal two-dimer correlations <Xi,iXi+1,iXk,lXk+1,l> and <Xi,iXi+1,iXl,kXl+1,k> in the ground state, which is independent of the actual interactions. This order coexists with Ising-type spin correlations which decay with distance. ©2010 The American Physical Society
History: Received 4 June 2010; revised 30 July 2010; published 12 August 2010
Permalink: http://link.aps.org/abstract/PRB/v82/e060401
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