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arXiv · 1110.2397

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

Walter F. Wreszinski
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Abstract

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 $e^{(2)} \ge -3/2$ and $e^{(3)} \ge -2.204...$.

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Walter F. Wreszinski. 2011-11-11. The ground state energy per site of the quantum and classical Edwards-Anderson spin-glass model in the thermodynamic limit. https://doi.org/10.1007/s10955-011-0401-x

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