Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass

Details Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass Monte Carlo studies of the chiral and spin orderings of the three-dimensional Heisenberg spin glass

2009-04-23

arxiv.org/abs/0904.3699v3

Phys. Rev. B 80, 064418 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

20 pages, 24 figures. The Chi^2-analysis of the transition point has been added with new Fig.12. Some references also added

Scientific paper

The nature of the ordering of the three-dimensional isotropic Heisenberg spin glass with nearest-neighbor random Gaussian coupling is studied by extensive Monte Carlo simulations. Several independent physical quantities are measured both for the spin and for the chirality, including the correlation-length ratio, the Binder ratio, the glass order parameter, the overlap distribution function and the non-self-averageness parameter. By controlling the effect of the correction-to-scaling, we have obtained a numerical evidence for the occurrence of successive chiral-glass and spin-glass transitions at nonzero temperatures, T_{CG} > T_{SG} > 0. Hence, the spin and the chirality are decoupled in the ordering of the model. The chiral-glass exponents are estimated to be \nu_{CG}=1.4+-0.2 and \eta_{CG}=0.6+-0.2, indicating that the chiral-glass transition lies in a universality class different from that of the Ising spin glass. The possibility that the spin and chiral sectors undergo a simultaneous Kosterlitz-Thouless-type transition is ruled out. The chiral-glass state turns out to be non-self-averaging, possibly accompanying a one-step-like peculiar replica-symmetry breaking. Implications to the chirality scenario of experimental spin-glass transitions are discussed.

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