Numerical Study of Competing Spin-Glass and Ferromagnetic Order

Abstract

Two and three dimensional random Ising models with a Gaussian distribution of couplings with variance $J$ and non-vanishing mean value $J_0$ are studied using the zero-temperature domain-wall renormalization group (DWRG). The DWRG trajectories in the ($J_0,J$) plane after rescaling can be collapsed on two curves: one for $J_0/J>r_c$ and other for $J_0/J<r_c$. In the first case the DWRG flows are toward the ferromagnetic fixed point both in two and three dimensions while in the second case flows are towards a paramagnetic fixed point and spin-glass fixed point in two and three dimensions respectively. No evidence for an extra phase is found.

a bit more data is taken, 5 pages, 4 eps figures included, to appear in PRB

References in corpus (1)

• The critical exponents of the two-dimensional Ising spin glass revisited: Exact Ground State Calculations and Monte Carlo Simulations

Cited by in corpus (2)

• Strong-disorder paramagnetic-ferromagnetic fixed point in the square-lattice +- J Ising model
• Zero-temperature spinglass-ferromagnetic transition : scaling analysis of the domain-wall energy