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Measuring the Spin-Lattice Relaxation Magnetic Field Dependence of Hyperpolarized [1-13C]pyruvate
Published on: September 13, 2019
Support for the value 5/2 for the spin glass lower critical dimension at zero magnetic field
Andrea Maiorano1,2, Giorgio Parisi1,3
1Dipartimento di Fisica, Sapienza Università di Roma, 00185 Rome, Italy; giorgio.parisi@roma1.infn.it andrea.maiorano@roma1.infn.it.
Abstract:
We study numerically various properties of the free energy barriers in the Edwards-Anderson model of spin glasses in the low-temperature region in both three and four spatial dimensions. In particular, we investigated the dependence of height of free energy barriers on system size and on the distance between the initial and final states (i.e., the overlap distance). A related quantity is the distribution of large local fluctuations of the overlap in large 3D samples at equilibrium. Our results for both quantities (barriers and large deviations) are in agreement with the prediction obtained in the framework of mean-field theory. In addition, our result supports [Formula: see text] as the lower critical dimension of the model.
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