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The dynamical magnetic properties of an Ising spin glass Fe$_{0.55}$Mn$_{0.45}$TiO$_3$ are studied under various magnetic fields. Having determined the temperature and static field dependent relaxation time $\tau(T;H)$ from ac magnetization…

Disordered Systems and Neural Networks · Physics 2009-11-10 P. E. Jönsson , H. Takayama , H. Aruga Katori , A. Ito

We study a frustrated two-leg spin ladder with alternate isotropic Heisenberg and Ising rung exchange interactions, whereas, interactions along legs and diagonals are Ising-type. All the interactions in the ladder are anti-ferromagnetic in…

Strongly Correlated Electrons · Physics 2020-11-25 Sk Saniur Rahaman , Shaon Sahoo , Manoranjan Kumar

Brief review is given on recent numerical research of the ordering of two typical models of spin glasses (SGs), the three-dimensional (3D) Ising SG and the 3D Heisenberg SG models. Particular attention is paid to the questions of whether…

Disordered Systems and Neural Networks · Physics 2015-05-18 Hikaru Kawamura

We explore a transverse-field Ising model that exhibits both spontaneous symmetry-breaking and eigenstate thermalization. Within its ferromagnetic phase, the exact eigenstates of the Hamiltonian of any large but finite-sized system are all…

Statistical Mechanics · Physics 2014-08-12 Bo Zhao , Merritt C. Kerridge , David A. Huse

We study a quantum extension of the spherical $p$-spin-glass model using the imaginary-time replica formalism. We solve the model numerically and we discuss two analytical approximation schemes that capture most of the features of the…

Disordered Systems and Neural Networks · Physics 2009-10-31 Leticia F Cugliandolo , D. R. Grempel , Constantino A da Silva Santos

We report the existence of a large set of ferromagnetic scarred states in the one-dimensional transverse-field Ising model with long-range interactions, in a regime with no ferromagnetic phase at finite temperature. These scarred states are…

Statistical Mechanics · Physics 2026-03-19 Ángel L. Corps , Armando Relaño

Hysteresis loops are obtained in the Ising spin-glass phase in d=3, using frustration-conserving hard-spin mean-field theory. The system is driven by a time-dependent random magnetic field H_Q that is conjugate to the spin-glass order Q,…

Disordered Systems and Neural Networks · Physics 2009-11-13 Burcu Yücesoy , A. Nihat Berker

The ferromagnetic phase of an Ising model in d=3, with any amount of quenched antiferromagnetic bond randomness, is shown to undergo a transition to a spin-glass phase under sufficient quenched bond dilution. This general result,…

Disordered Systems and Neural Networks · Physics 2009-03-30 Gül Gülpınar , A. Nihat Berker

A disordered spin model suitable for studying inverse freezing in fragile glass-forming systems is introduced. The model is a microscopic realization of the ``random-first order'' scenario in which the glass transition can be either…

Soft Condensed Matter · Physics 2009-11-11 Mauro Sellitto

In this thesis, we present results on phase transition for two models: the semi-infinite Ising model with a decaying field, and the long-range Ising model with a random field. We study the semi-infinite Ising model with an external field…

Mathematical Physics · Physics 2024-03-11 João Maia

A random-field Ising model that is capable of exhibiting a rich variety of multicritical phenomena, as well as a smearing of such behavior, is investigated. The model consists of an infinite-range-interaction Ising ferromagnet in the…

Statistical Mechanics · Physics 2009-01-16 Octavio R. Salmon , Nuno Crokidakis , Fernando D. Nobre

We study the magnetic properties of a mixed Ising ferrimagnetic system, in which the two interacting sublattices have spins $\sigma$, $(\pm 1/2)$ and spins $S$, $(\pm 3/2,\pm 1/2)$ in the presence of a random crystal field, with the mean…

Statistical Mechanics · Physics 2009-11-13 L. Bahmad , A. Benyoussef , A. El Kenz

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…

Disordered Systems and Neural Networks · Physics 2015-05-20 F. Caltagirone , U. Ferrari , L. Leuzzi , G. Parisi , T. Rizzo

We consider the dynamics of a disordered p-spin model with p=2, analyzing the dynamics within Ruelle's thermodynamic formalism, We use an indicator of the dynamical activity to construct the relevant dynamical Gibbs ensemble. We prove that…

Disordered Systems and Neural Networks · Physics 2013-05-29 Kristina Van Duijvendijk , Robert L. Jack , Frédéric Van Wijland

In this paper and in the companion one we address the problem of identifying the effective theory that describes the statistics of the fluctuations of what is thought to be the relevant order parameter for glassy systems---the overlap field…

Statistical Mechanics · Physics 2018-11-21 G. Biroli , C. Cammarota , G. Tarjus , M. Tarzia

We consider a tapping dynamics, analogous to that in experiments on granular media, on spin glasses and ferromagnets on random thin graphs. Between taps, zero temperature single spin flip dynamics takes the system to a metastable state.…

Statistical Mechanics · Physics 2009-11-07 David S. Dean , Alexandre Lefevre

We study ground-state properties of the two-dimensional random-bond Ising model with couplings having a concentration $p\in[0,1]$ of antiferromagnetic and $(1-p)$ of ferromagnetic bonds. We apply an exact matching algorithm which enables us…

Disordered Systems and Neural Networks · Physics 2009-11-10 C. Amoruso , A. K. Hartmann

The Ising model in the presence of a random field is investigated within the mean field approximation based on Landau expansion. The random field is drawn from the trimodal probability distribution $P(h_{i})=p \delta(h_{i}-h_{0}) + q \delta…

Statistical Mechanics · Physics 2013-04-26 I. A. Hadjiagapiou

Trilayered spin-1/2 Ising ferrimagnets are interesting thin systems for compensation phenomenon. In this work, a Metropolis Monte Carlo study is performed on the magnetic and thermodynamic response of such a system on square Bravais…

Statistical Mechanics · Physics 2021-12-28 Soham Chandra

We perform equilibrium parallel-tempering simulations of the 3D Ising Edwards-Anderson spin glass in a field. A traditional analysis shows no signs of a phase transition. Yet, we encounter dramatic fluctuations in the behaviour of the…