Numerical study of the ordering of the +-J XY spin-glass ladder

Details Numerical study of the ordering of the +-J XY spin-glass ladder Numerical study of the ordering of the +-J XY spin-glass ladder

2005-03-06

arxiv.org/abs/cond-mat/0503132v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

14 pages, 10 figures

Scientific paper

10.1103/PhysRevB.72.024442

The properties of the domain-wall energy and of the correlation length are studied numerically for the one-dimensional +-J XY spin glass on the two-leg ladder lattice, focusing on both the spin and the chirality degrees of freedom. Analytic results obtained by Ney-Niftle et al for the same model were confirmed for asymptotically large lattices, while the approach to the asymptotic limit is slow and sometimes even non-monotonic. Attention is called to the occurrence of the SO(2)-Z_2 decoupling and its masking in spin correlations, the latter reflecting the inequality between the SO(2) and Z_2 exponents. Discussion is given concerning the behaviors of the higher-dimensional models.

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