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Publication: Numerical study of critical properties and hidden orders in dimerized spin ladders

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Title Numerical study of critical properties and hidden orders in dimerized spin ladders
Authors/Editors* Sandra J. Gibson, R. Meyer, and Gennady Y. Chitov
Where published* Phys. Rev. B
How published* Journal
Year* 2011
Volume 83
Number 10
Pages 104423
Publisher American Physical Society
Keywords
Link http://link.aps.org/doi/10.1103/PhysRevB.83.104423
Abstract
Dimerized antiferromagnetic spin-1 ladders are known to exhibit a quantum critical phase transition in the 2 ground state, the existence or absence of which is dependent on the dimerization pattern of the ladder. The gapped phases cannot be distinguished by the conventional Landau long-range order parameter. However, they possess a nonlocal (hidden) string-order parameter, which is nonzero in one phase and vanishes in the other. We use an exact diagonalization technique to calculate ground-state energies, energy gaps, and string-order parameters of dimerized two-and three-leg Heisenberg ladders, as well as a critical scaling analysis to yield estimates of the critical exponents ν and β.
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