Abstract
We map the Edwards Anderson Hamiltonian onto an effective Hamiltonian for Ising spins with nonrandom competing couplings. A high-temperature series is used to calculate the coupling constants to 20th, 16th, and 12th order for two, three, and four dimensions, respectively. We conclude the lower critical dimension to be close to three and find the correlation-length and susceptibility critical exponents to be twice as large as for thed=3 Ising model.
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Haake, F., Lewenstein, M. & Wilkens, M. Equivalence of random and competing nonrandom bonds for Edwards Anderson spin-glass. Z. Physik B - Condensed Matter 66, 201–209 (1987). https://doi.org/10.1007/BF01311656
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DOI: https://doi.org/10.1007/BF01311656