Ferromagnetic-spin-glass transition in a four-dimensional random-bond Ising model
Abstract
The four-dimensional +/-J random-bond Ising model is studied using ground-state calculations. System sizes up to N=64 spins are considered. Here it is found that the ferromagnetic-spin-glass transition occurs at a critical concentration pc=0.28(1) of the antiferromagnetic bonds, which is comparable to values found previously by high-temperature series expansions. The transition is characterized by a correlation-length exponent ν=1.0(1) and an order-parameter exponent β=0.4(1). Thus, this transition is in a different universality class from four-dimensional bond percolation, where ν=0.678(50) and β=0.639(20).
- Publication:
-
Physical Review B
- Pub Date:
- December 2001
- DOI:
- 10.1103/PhysRevB.64.224430
- arXiv:
- arXiv:cond-mat/0107583
- Bibcode:
- 2001PhRvB..64v4430H
- Keywords:
-
- 75.10.Nr;
- 75.40.Mg;
- 02.10.De;
- Spin-glass and other random models;
- Numerical simulation studies;
- Algebraic structures and number theory;
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Materials Science
- E-Print:
- 5 pages, 6 figures, 1 table, revtex