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Published in 2017 at "Communications in Mathematical Physics"
DOI: 10.1007/s00220-018-3152-6
Abstract: We show that mixing for local, reversible dynamics of mean field spin glasses is exponentially slow in the low temperature regime. We introduce a notion of free energy barriers for the overlap, and prove that…
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Keywords:
spin glasses;
mean field;
spectral gap;
field spin ... See more keywords
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Published in 2019 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ab2166
Abstract: Comparisons and analogies are drawn between materials ferroic glasses and conventional spin glasses, in terms of both experiment and theoretical modelling, with inter-system conceptual transfers leading to suggestions of further issues to investigate.
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Keywords:
materials physics;
physics spin;
spin glasses;
physics ... See more keywords
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Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/acd66c
Abstract: Physical quantities in the mixed p-spin glasses are evaluated with Nishimori’s gauge theory and several variance inequalities. The Z2 -symmetry breaking and the replica-symmetry breaking (RSB) are studied in finite and infinite dimensions. Obtained bounds…
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Keywords:
mixed spin;
gauge theory;
spin glass;
spin glasses ... See more keywords
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Published in 2017 at "Physical Review B"
DOI: 10.1103/physrevb.96.214208
Abstract: A patchwork method is used to study the dynamics of loss and recovery of an initial configuration in spin glass models in dimensions d=1 and d=2. The patchwork heuristic is used to accelerate the dynamics…
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Keywords:
recovery;
spin glasses;
patchwork;
spin ... See more keywords
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Published in 2020 at "Physical review. E"
DOI: 10.1103/physreve.102.053303
Abstract: We study the bimodal Edwards-Anderson spin glass comparing established methods, namely the multicanonical method, the 1/k ensemble, and parallel tempering, to an approach where the ensemble is modified by simulating power-law-shaped histograms in energy instead…
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Keywords:
techniques spin;
histogram techniques;
spin glasses;
nonflat histogram ... See more keywords
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Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.118.127201
Abstract: The two primary categories for eigenstate phases of matter at a finite temperature are many-body localization (MBL) and the eigenstate thermalization hypothesis (ETH). We show that, in the paradigmatic quantum p-spin models of the spin-glass…
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Keywords:
eigenstates quantum;
spin glasses;
quantum spin;
nonergodic eigenstates ... See more keywords
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Published in 2017 at "Physical review letters"
DOI: 10.1103/physrevlett.119.100602
Abstract: The fractal dimension of excitations in glassy systems gives information on the critical dimension at which the droplet picture of spin glasses changes to a description based on replica symmetry breaking where the interfaces are…
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Keywords:
dimension;
space;
spin glasses;
spin ... See more keywords