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We introduce a simple two-dimensional spin model with short-range interactions which shows glassy behavior despite a Hamiltonian which is completely homogeneous and possesses no randomness. We solve exactly for both the static partition…

Statistical Mechanics · Physics 2009-10-30 M. E. J. Newman , Cristopher Moore

The thermodynamic properties of the pyrochlore Yb2Ti2O7 material are calculated using the numericallinked-cluster (NLC) calculation method for an effective anisotropic-exchange spin-1/2 Hamiltonian with parameters recently determined by…

Strongly Correlated Electrons · Physics 2014-04-11 N. R. Hayre , K. A. Ross , R. Applegate , T. Lin , R. R. P. Singh B. D. Gaulin , M. J. P. Gingras

We propose a method for learning dynamical systems from high-dimensional empirical data that combines variational autoencoders and (spatio-)temporal attention within a framework designed to enforce certain scientifically-motivated…

Machine Learning · Computer Science 2023-06-22 Kai Lagemann , Christian Lagemann , Sach Mukherjee

We use a combination of first-principles density functional calculations and spin-dynamics simulations to explain the unusual diffuse inelastic neutron scattering in the hexagonal multiferroic yttrium manganite, YMnO$_3$. Using symmetry…

Materials Science · Physics 2023-12-15 Tara N. Tošić , Arkadiy Simonov , Nicola A. Spaldin

Magnetization and susceptibility studies on single crystals of the pyrochlore Ho$_{2}$Ti$_{2}$O$_{7}$ are reported for the first time. Magnetization isotherms are shown to be qualitatively similar to that predicted by the nearest neighbor…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. L. Cornelius , J. S. Gardner

The reliability assessment of a machine learning model's prediction is an important quantity for the deployment in safety critical applications. Not only can it be used to detect novel sceneries, either as out-of-distribution or anomaly…

Machine Learning · Computer Science 2022-05-12 Steve Dias Da Cruz , Bertram Taetz , Thomas Stifter , Didier Stricker

We introduce a methodology for seeking conservation laws within a Hamiltonian dynamical system, which we term ``neural deflation''. Inspired by deflation methods for steady states of dynamical systems, we propose to {iteratively} train a…

Pattern Formation and Solitons · Physics 2023-03-29 Wei Zhu , Hong-Kun Zhang , P. G. Kevrekidis

Scanning probe microscopy and spectroscopy, and more recently in combination with electron spin resonance, have allowed the direct observation of electron dynamics on the single-atom limit. The interpretation of data is strongly depending…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 C. Wolf , F. Delgado , J. Reina , N. Lorente

We demonstrate that a recently introduced heuristic optimization algorithm [Phys. Rev. E 83, 046709 (2011)] that combines a local search with triadic crossover genetic updates is capable of sampling nearly uniformly among ground-state…

Disordered Systems and Neural Networks · Physics 2011-11-08 Creighton K. Thomas , Helmut G. Katzgraber

Spin glasses featured by frustrated interactions and metastable states have important applications in chemistry, material sciences and artificial neural networks. However, the solution of the spin glass models is hindered by the…

Disordered Systems and Neural Networks · Physics 2023-10-24 Weiru Fan , Yuxuan Sun , Xingqi Xu , Da-Wei Wang , Shi-Yao Zhu , Hai-Qing Lin

A spin liquid is a new state of matter with topological order where the spin moments continue to fluctuate coherently down to the lowest temperatures rather than develop static long-range magnetic order as found in conventional magnets. For…

Machine learning is typically framed from a perspective of i.i.d., and more importantly, isolated data. In parts, federated learning lifts this assumption, as it sets out to solve the real-world challenge of collaboratively learning a…

Machine Learning · Computer Science 2024-07-19 Subarnaduti Paul , Lars-Joel Frey , Roshni Kamath , Kristian Kersting , Martin Mundt

Most materials freeze when cooled to sufficiently low temperature. We find that magnetic dipoles randomly distributed in a solid matrix condense into a spin liquid with spectral properties on cooling that are the diametric opposite of those…

Condensed Matter · Physics 2009-11-10 S. Ghosh , R. Parthasarathy , T. F. Rosenbaum , G. Aeppli

The physical characterisation and understanding of molecular magnetic materials is one of the most important steps towards the integration of such systems in hybrid spintronic devices. Amongst the many characterisation techniques employed…

Mesoscale and Nanoscale Physics · Physics 2021-01-18 Simon Ansbro , Eufemio Moreno-Pineda , Wen Yu , Jacques Ollivier , Hannu Mutka , Mario Ruben , Alessandro Chiesa

In spin ice research, small variations in structure or interactions drive a multitude of different behaviors, yet the collection of known materials relies heavily on the `227' pyrochlore structure. Here, we present thermodynamic, structural…

Disordered Systems and Neural Networks · Physics 2019-04-30 D. Reig-i-Plessis , S. V. Geldern , A. A. Aczel , D. Kochkov , B. K. Clark , G. J. MacDougall

Motivated by its role as a central pillar of current theories of dynamics of spin ice in and out of equilibrium, we study the single-ion dynamics of the magnetic rare earth ions in their local environments, subject to the effective fields…

Strongly Correlated Electrons · Physics 2015-10-21 Bruno Tomasello , Claudio Castelnovo , Roderich Moessner , Jorge Quintanilla

We present a general framework for deriving effective spin Hamiltonians of correlated magnetic systems based on a combination of relativistic ab initio density functional theory calculations (DFT), exact diagonalization of a generalized…

Strongly Correlated Electrons · Physics 2016-07-13 Kira Riedl , Daniel Guterding , Harald O. Jeschke , Michel J. P. Gingras , Roser Valenti

Ising models on a pyrochlore oxide lattice are usually associated with spin ice materials and "magnetic monopoles". Ever more often effects connecting magnetic and elastic degrees of freedom are reported on these and other related…

Strongly Correlated Electrons · Physics 2020-12-01 D. Slobinsky , L. Pili , G. Baglietto , S. A. Grigera , R. A. Borzi

We investigate the efficient learning of magnetic phases using artificial neural networks trained on synthetic data, combining computational simplicity with physics-informed strategies. Focusing on the diluted Ising model, which lacks an…

Strongly Correlated Electrons · Physics 2026-04-29 Agustin Medina , Marcelo Arlego , Carlos A. Lamas

Molecular quantum magnets adsorbed on surfaces exhibit rich spin and orbital excitations that can be probed by scanning tunneling microscopy with inelastic electron tunneling spectroscopy (STM-IETS). However, the quantitative extraction of…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Greta Lupi , Adolfo O. Fumega , Mohammad Amini , Robert Drost , Peter Liljeroth , Jose L. Lado
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