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arXiv 2011-10-11 DOI 10.1007/s10955-011-0401-x 1 views

The ground state energy per site of the quantum and classical Edwards-Anderson spin-glass model in the thermodynamic limit

Wreszinski, Walter F.

Original · EN

We derive rigorous lower bounds for the average ground-state energy per site e⁽ᵈ⁾ of the quantum and classical Edwards-Anderson spin-glass model in dimensions d = 2 and d = 3 in the thermodynamic limit. For the classical model they imply that e⁽²⁾ ≥ -3/2 and e⁽³⁾ ≥ -2.204....

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