Multicritical point of Ising spin glasses on triangular and honeycomb lattices

Details Multicritical point of Ising spin glasses on triangular and honeycomb lattices Multicritical point of Ising spin glasses on triangular and honeycomb lattices

2005-10-30

arxiv.org/abs/cond-mat/0510816v2

Physical Review B 73, 064410 (2006)

Physics

Condensed Matter

Statistical Mechanics

Published version

Scientific paper

10.1103/PhysRevB.73.064410

The behavior of two-dimensional Ising spin glasses at the multicritical point on triangular and honeycomb lattices is investigated, with the help of finite-size scaling and conformal-invariance concepts. We use transfer-matrix methods on long strips to calculate domain-wall energies, uniform susceptibilities, and spin-spin correlation functions. Accurate estimates are provided for the location of the multicritical point on both lattices, which lend strong support to a conjecture recently advanced by Takeda, Sasamoto, and Nishimori. Correlation functions are shown to obey rather strict conformal-invariance requirements, once suitable adaptations are made to account for geometric aspects of the transfer-matrix description of triangular and honeycomb lattices. The universality class of critical behavior upon crossing the ferro-paramagnetic phase boundary is probed, with the following estimates for the associated critical indices: $\nu=1.49(2)$, $\gamma=2.71(4)$, $\eta_1= 0.183(3)$, distinctly different from the percolation values.

Affiliated with

Also associated with

No associations

Rating

Multicritical point of Ising spin glasses on triangular and honeycomb lattices 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 Multicritical point of Ising spin glasses on triangular and honeycomb lattices, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Multicritical point of Ising spin glasses on triangular and honeycomb lattices will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-101734