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A class of pyrochlore oxides, $A_2$Mo$_2$O$_7$ ($A =$ Ho, Y, Dy, Tb) with magnetic ions on corner-sharing tetrahedra is known to exhibit spin-glass transitions without appreciable amount of quenched disorder. Recently a disorder-free…

无序系统与神经网络 · 物理学 2023-02-15 Kota Mitsumoto , Hajime Yoshino

Glass phases can be stabilized by quenched disorders, as in most spin-glass materials, or self-generated through kinetic freezing in disorder-free systems. A canonical example of the latter is structural glasses, which have been extensively…

无序系统与神经网络 · 物理学 2024-10-17 Lingyu Yang , Gia-Wei Chern

We report some results on the quenched disordered Spherical multi-$p$-Spin Model in presence of ferromagnetic couplings. In particular, we present the phase diagrams of some representative cases that schematically describe, in the…

无序系统与神经网络 · 物理学 2013-03-19 Andrea Crisanti , Luca Leuzzi

We consider a simple spin system without disorder which exhibits a glassy regime. We show that this model can be well approximated by a system with quenched disorder which is studied with the standard methods developped in spin glasses. We…

凝聚态物理 · 物理学 2009-10-22 J. P. Bouchaud , M. Mezard

We examine a model of $M$-component quantum rotors coupled by Gaussian-distributed random, infinite-range exchange interactions. A complete solution is obtained at $M=\infty$ in the spin-glass and quantum-disordered phases. The quantum…

凝聚态物理 · 物理学 2009-01-23 Jinwu Ye , Subir Sachdev , N. Read

We develop a mean-field theory for random quantum spin systems using the spin coherent state path integral representation. After the model is reduced to the mean field one-body Hamiltonian, the integral is analyzed with the aid of several…

无序系统与神经网络 · 物理学 2007-11-20 Kazutaka Takahashi

We show theoretically that spin and orbital degrees of freedom in the pyrochlore oxide Y2Mo2O7, which is free of quenched disorder, can exhibit a simultaneous glass transition, working as dynamical randomness to each other. The interplay of…

无序系统与神经网络 · 物理学 2020-03-04 Kota Mitsumoto , Chisa Hotta , Hajime Yoshino

The critical behavior of a family of fully connected mean-field models with quenched disorder, the $M-p$ Ising spin glass, is analyzed, displaying a crossover between a continuous and a random first order phase transition as a control…

无序系统与神经网络 · 物理学 2015-05-20 F. Caltagirone , U. Ferrari , L. Leuzzi , G. Parisi , T. Rizzo

We study analytically M-spin-flip stable states in disordered short-ranged Ising models (spin glasses and ferromagnets) in all dimensions and for all M. Our approach is primarily dynamical and is based on the convergence of a…

无序系统与神经网络 · 物理学 2009-10-31 C. M. Newman , D. L. Stein

We review the physics of jamming from the theoretical, experimental and numerical perspectives. We summarize the mean-field theory of jamming and the marginally stable solid phase, with particular emphasis on the connection with the Replica…

软凝聚态物质 · 物理学 2022-09-08 Francesco Arceri , Eric I. Corwin , Corey S. O'Hern

We study the glass and jamming transition of finite-dimensional models of simple liquids: hard- spheres, harmonic spheres and more generally bounded pair potentials that modelize frictionless spheres in interaction. At finite temperature,…

无序系统与神经网络 · 物理学 2013-07-16 Hugo Jacquin

We investigate thermodynamic phase transitions of the joint presence of spin glass (SG) and random field (RF) using a random graph model that allows us to deal with the quenched disorder. Therefore, the connectivity becomes a controllable…

无序系统与神经网络 · 物理学 2021-02-24 R. Erichsen , A. Silveira , S. G. Magalhaes

We analyse biased ensembles of trajectories for the random-field Ising model on a fully-connected lattice, which is described exactly by mean-field theory. By coupling the activity of the system to a dynamical biasing field, we find a range…

统计力学 · 物理学 2021-10-27 Jules Guioth , Robert L. Jack

Pinning particles at random in supercooled liquids is a promising route to make substantial progress on the glass transition problem. Here we develop a mean-field theory by studying the equilibrium and non-equilibrium dynamics of the…

无序系统与神经网络 · 物理学 2012-12-18 Chiara Cammarota , Giulio Biroli

We study the statistical mechanics and the equilibrium dynamics of a system of classical Heisenberg spins with frustrated interactions on a $d$-dimensional simple hypercubic lattice, in the limit of infinite dimensionality $d \to \infty$.…

无序系统与神经网络 · 物理学 2024-04-25 Achille Mauri , Mikhail I. Katsnelson

The richness of the mean-field solution of simple glasses leaves many of its features challenging to interpret. A minimal model that illuminates glass physics the same way the random energy model clarifies spin glass behavior would…

无序系统与神经网络 · 物理学 2025-03-14 Gilles Bonnet , Patrick Charbonneau , Giampaolo Folena

A zero temperature dynamics of Ising spin glasses and ferromagnets on random graphs of finite connectivity is considered, like granular media these systems have an extensive entropy of metastable states. We consider the problem of what…

统计力学 · 物理学 2009-11-07 David S. Dean , Alexandre Lefèvre

We study a recently introduced and exactly solvable mean-field model for the density of vibrational states $\mathcal{D}(\omega)$ of a structurally disordered system. The model is formulated as a collection of disordered anharmonic…

无序系统与神经网络 · 物理学 2021-05-10 Eran Bouchbinder , Edan Lerner , Corrado Rainone , Pierfrancesco Urbani , Francesco Zamponi

We introduce an effective field theory for the vicinity of a zero temperature quantum transition between a metallic spin glass (``spin density glass'') and a metallic quantum paramagnet. Following a mean field analysis, we perform a…

凝聚态物理 · 物理学 2009-10-28 Subir Sachdev , N. Read , R. Oppermann

Recent ideas based on the properties of assemblies of frictionless particles in mechanical equilibrium provide a perspective of amorphous systems different from that offered by the traditional approach originating in liquid theory. The…

统计力学 · 物理学 2009-07-09 R. Mari , F. Krzakala , J. Kurchan
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