Ordered phase in the two-dimensional randomly coupled ferromagnet

Physics – Condensed Matter – Disordered Systems and Neural Networks

Scientific paper

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

Scientific paper

10.1103/PhysRevB.63.094423

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.

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