Ordered phase in the two-dimensional randomly coupled ferromagnet

Abstract

True ground states are evaluated for a 2d Ising model with random near neighbor interactions and ferromagnetic second neighbor interactions (the Randomly Coupled Ferromagnet). The spin glass stiffness exponent is positive when the absolute value of the random interaction is weaker than the ferromagnetic interaction. This result demonstrates that in this parameter domain the spin glass like ordering temperature is non-zero for these systems, in strong contrast to the 2d Edwards-Anderson spin glass.

7 pages; 9 figures; revtex; new version much extended

References in corpus (4)

• Scaling of stiffness energy for 3d +/-J Ising spin glasses
• Calculation of ground states of four-dimensional +or- J Ising spin glasses
• Disorder, Order, and Domain Wall Roughening in the 2d Random Field Ising Model
• Finite temperature phase transition in the two-dimension Randomly Coupled Ferromagnet

Cited by in corpus (5)

• Lower Critical Dimension of Ising Spin Glasses
• Evidence for Two-Dimensional Spin-Glass Ordering in Submonolayer Fe Films on Cleaved InAs Surfaces
• Critical scaling of the mutual information in two-dimensional disordered Ising models
• No spin-glass transition in the "mobile-bond" model
• Lack of a thermodynamic finite-temperature spin-glass phase in the two-dimensional randomly-coupled ferromagnet