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Numerical study of critical properties and hidden orders in dimerized spin ladders
(American Physical Society, 2011-03-29) Gibson, Sandra J.; Meyer, Ralf; Chitov, Gennady Y.
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.