Reduction of two-dimensional dilute Ising spin glasses
Abstract
The recently proposed reduction method is applied to the Edwards-Anderson model on bond-diluted square lattices. In combination with a graph-theoretical matching algorithm, this allows us to calculate numerically exact ground states of large systems. Low-temperature domain-wall excitations are studied to determine the stiffness exponent y2 . A value of y2=-0.281(3) is found, consistent with previous results obtained on undiluted lattices. This comparison demonstrates the validity of the reduction method for bond-diluted spin systems and provides strong support for similar studies proclaiming accurate results for stiffness exponents in dimensions d=3,…,7 .
- Publication:
-
Physical Review B
- Pub Date:
- July 2005
- DOI:
- 10.1103/PhysRevB.72.014429
- arXiv:
- arXiv:cond-mat/0503486
- Bibcode:
- 2005PhRvB..72a4429B
- Keywords:
-
- 75.10.Nr;
- 05.50.+q;
- Spin-glass and other random models;
- Lattice theory and statistics;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 7 pages, RevTex4, 6 ps-figures included, for related information, see http://www.physics.emory.edu/faculty/boettcher/