Related papers: Free energy in the Sherrington-Kirkpatrick model w…
Over the past 50 years, spin glass models have generated a broad range of literature in mathematics, physics, and computer science. There has been much progress in characterizing and proving the limiting free energy of various models,…
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This paper has been withdrawn by the authors due to new experimental results.
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The free energy landscape of the Sherrington-Kirkpatrik (SK) Ising spin glass is simple in the framework of the Thouless-Anderson-Palmer (TAP) equations as each solution (which are minima of the free energy) has associated with it a nearby…
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This has been withdrawn by the author. A rewrite of some of the material is currently in progress.
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We extend two rigorous results of Aizenman, Lebowitz, and Ruelle in their pioneering paper of 1987 on the Sherrington-Kirkpatrick spin-glass model without external magnetic field to the quantum case with a "transverse field" of strength…
This paper has been withdrawn by the author due to imprecisions which must conduce to wrong results.
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We study a diluted mean-field spin glass model with a quadratic Hamiltonian. Our main result establishes the limiting free energy in terms of an integral of a family of random variables that are the weak limits of the quenched variances of…
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This paper has been withdrawn by the author, since most of the results have been published before.
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