Spectral Gap Estimates in Mean Field Spin Glasses
Sign Up to like & getrecommendations! 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… read more here.
Keywords: spin glasses; mean field; spectral gap; field spin ... See more keywords
Free Energy Difference Fluctuations in Short-Range Spin Glasses
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-024-03334-4
Abstract: It is generally believed (but not yet proved) that Ising spin glasses with nearest-neighbor interactions have a phase transition in three and higher dimensions to a low-temperature spin glass phase, but the nature of this… read more here.
Keywords: energy difference; free energy; spin glasses;
Materials physics and spin glasses
Sign Up to like & getrecommendations! 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. read more here.
Keywords: materials physics; physics spin; spin glasses; physics ... See more keywords
Gauge theory for mixed p-spin glasses
Sign Up to like & getrecommendations! 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… read more here.
Keywords: mixed spin; gauge theory; spin glass; spin glasses ... See more keywords
Configuration memory in patchwork dynamics for low-dimensional spin glasses
Sign Up to like & getrecommendations! 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… read more here.
Keywords: recovery; spin glasses; patchwork; spin ... See more keywords
Nonflat histogram techniques for spin glasses.
Sign Up to like & getrecommendations! 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… read more here.
Keywords: techniques spin; histogram techniques; spin glasses; nonflat histogram ... See more keywords
Clustering of Nonergodic Eigenstates in Quantum Spin Glasses.
Sign Up to like & getrecommendations! 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… read more here.
Keywords: eigenstates quantum; spin glasses; quantum spin; nonergodic eigenstates ... See more keywords
Fractal Dimension of Interfaces in Edwards-Anderson and Long-range Ising Spin Glasses: Determining the Applicability of Different Theoretical Descriptions.
Sign Up to like & getrecommendations! 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… read more here.
Keywords: dimension; space; spin glasses; spin ... See more keywords
A Parisi formula for quantum spin glasses
Sign Up to like & getrecommendations! Published in 2024 at "Electronic Journal of Probability"
DOI: 10.1214/25-ejp1359
Abstract: We establish three equivalent versions of a Parisi formula for the free energy of mean-field spin glasses in a transversal magnetic field. These results are derived from available results for classical vector spin glasses by… read more here.
Keywords: formula quantum; parisi formula; quantum spin; spin glasses ... See more keywords