What is the static Edwards-Anderson order parameter in the mean-field theory of spin glasses ?
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Some aspects of infinite range models of spin glasses: theory and numerical simulations
The expression " spin glasses " was originally coined to describe metallic alloys of a non-magnetic metal with few, randomly substituted, magnetic impurities. Experimental evidences where obtained for a low temperature " spin-glass " phase characterized by a non-periodic freezing of the magnetic moments (the spins) with a very slow, and strongly history dependent, response to external perturbat...
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Resonating valence bond states in a doped Mott insulator was proposed to explain superconductivity in cuprates in January 1987 by Anderson. A challenging task then was proving existence of this unconventional mechanism and a wealth of possibilities, with a rigor acceptable in standard condensed matter physics, in a microscopic theory and develop suitable many body techniques. Shortly, a paper...
متن کاملMulti-overlap simulations of free-energy barriers in the 3D Edwards–Anderson Ising spin glass
We report large-scale simulations of the three-dimensional Edwards–Anderson Ising spin-glass model using the multi-overlap Monte Carlo algorithm. We present our results in the spin-glass phase on free-energy barriers and the non-trivial finite-size scaling behavior of the Parisi order-parameter distribution. 1999 Elsevier Science B.V. All rights reserved. Spin-glass systems [1] are simple mod...
متن کاملEvidence of non-mean-field-like low-temperature behavior in the Edwards-Anderson spin-glass model.
The three-dimensional Edwards-Anderson and mean-field Sherrington-Kirkpatrick Ising spin glasses are studied via large-scale Monte Carlo simulations at low temperatures, deep within the spin-glass phase. Performing a careful statistical analysis of several thousand independent disorder realizations and using an observable that detects peaks in the overlap distribution, we show that the Sherring...
متن کاملScaling and infrared divergences in the replica field theory of the Ising spin glass
Replica field theory for the Ising spin glass in zero magnetic field is studied around the upper critical dimension d = 6. A scaling theory of the spin glass phase, based on Parisi’s ultrametrically organised order parameter, is proposed. We argue that this infinite step replica symmetry broken (RSB) phase is nonperturbative in the sense that amplitudes of scaling forms cannot be expanded in te...
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تاریخ انتشار 2016