Physics – Condensed Matter
Scientific paper
1994-09-13
Physics
Condensed Matter
18 pages in revtex, LPTHE Orsay 94/23
Scientific paper
10.1103/PhysRevB.51.8357
This is an analytic study of the two-dimensional XY spin glass with $\pm J$ disorder. The Hamiltonian has a continuous spin symmetry and a discrete chiral symmetry, and therefore possesses, potentially, two different order parameters and correlation lengths. The cost of breaking the symmetries is probed by comparing the ground state energy under periodic (P) boundary conditions with the one under antiperiodic (AP) and under reflecting (R) boundary conditions. Two energy differences (``domain wall energies'') appear, $\Delta E^{AP}$ and $\Delta E^R$, whose scaling behavior with system size is nontrivially related to the correlation length exponents. For a specific distribution of the $\pm J$ disorder we show that the chiral and spin correlation lengths diverge with the same exponent as $T\downarrow 0$. The common exponent has a common cause, viz. the low reversal energy of domains of chiral variables. For general disorder we give a heuristic argumentation in terms of droplet excitations that leads to spin ordering on a longer, or equal, scale than chiral ordering. These results are in contrast with interpretations of Monte Carlo simulations.
Hilhorst Hendrik-Jan
Ney-Nifle Muriel
No associations
LandOfFree
Chiral and Spin Order in the 2D \pm J Xy Spin Glass : Domain Wall Scaling Analysis does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chiral and Spin Order in the 2D \pm J Xy Spin Glass : Domain Wall Scaling Analysis, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chiral and Spin Order in the 2D \pm J Xy Spin Glass : Domain Wall Scaling Analysis will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-190266