J. Maucourt, D. R. Grempel
Published 1997-09-17, updated 1997-12-01Version 2
We investigate the XY spin-glass model in two and three dimensions using the domain-wall renormalization-group method. The results for systems of linear sizes up to L=12 (2D) and L=8 (3D) strongly suggest that the lower critical dimension for spin-glass ordering may be $d_{c}\approx 3$ rather than four as is commonly believed. Our 3D data favor the scenario of a low but finite spin-glass ordering temperature below the chiral transition but they are also compatible with the system being at or slightly below its lower critical dimension.
Comments: 4 pages, 3 ps figures. Typos have been corrected, one reference has been added and the concluding paragraph has been expanded. To appear in Phys. Rev. Lett
Lower Critical Dimension of Ising Spin Glasses
Spin and chiral stiffness of the XY spin glass in two dimensions
Weird scaling for 2-D avalanches: Curing the faceting, and scaling in the lower critical dimension
