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

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

2010-09-27

arxiv.org/abs/1009.5393v3

Phys. Rev. B 83, 104423 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

7 pages, 14 figures. V.2: Extended version to appear in PRB

Scientific paper

Dimerized antiferromagnetic spin-1/2 ladders are known to exhibit a quantum critical phase transition in the 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 non-local (hidden) string order parameter, which is non-zero 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 nu and beta.

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