3 research outputs found
Energy gap of the bimodal two-dimensional Ising spin glass
An exact algorithm is used to compute the degeneracies of the excited states
of the bimodal Ising spin glass in two dimensions. It is found that the
specific heat at arbitrary low temperature is not a self-averaging quantity and
has a distribution that is neither normal or lognormal. Nevertheless, it is
possible to estimate the most likely value and this is found to scale as L^3
T^(-2) exp(-4J/kT), for a L*L lattice. Our analysis also explains, for the
first time, why a correlation length \xi ~ exp(2J/kT) is consistent with an
energy gap of 2J. Our method allows us to obtain results for up to 10^5
disorder realizations with L <= 64. Distributions of second and third
excitations are also shown.Comment: 4 pages, 4 figure
Chirality scenario of the spin-glass ordering
Detailed account is given of the chirality scenario of experimental
spin-glass transitions. In this scenario, the spin glass order of weakly
anisotropic Heisenberg-like spin-glass magnets including canonical spin glasses
are essentially chirality driven. Recent numerical and experimental results are
discussed in conjunction with this scenario.Comment: Submitted to J. Phys. Soc. Japan "Special Issue on Frustration