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By means of parallel tempering Monte Carlo simulations we find strong evidence for a finite-temperature spin-glass transition in a system of diluted classical Heisenberg dipoles randomly placed on the sites of a simple cubic lattice. We…

Disordered Systems and Neural Networks · Physics 2009-12-18 Pawel Stasiak , Michel J. P. Gingras

We study fully occupied lattice systems of classical magnetic dipoles which point along random axes. Only dipolar interactions are considered. From tempered Monte Carlo simulations, we obtain numerical evidence that supports the following…

Materials Science · Physics 2009-03-05 J. F. Fernández

We study partially occupied lattice systems of classical magnetic dipoles which point along randomly oriented axes. Only dipolar interactions are taken into account. The aim of the model is to mimic collective effects in disordered…

Statistical Mechanics · Physics 2012-07-18 J. F. Fernandez , J. J. Alonso

Dilute dipolar Ising magnets remain a notoriously hard problem to tackle both analytically and numerically because of long-ranged interactions between spins as well as rare region effects. We study a new type of anisotropic dilute dipolar…

Disordered Systems and Neural Networks · Physics 2019-08-28 Tushar Kanti Bose , Roderich Moessner , Arnab Sen

Using Monte Carlo simulations, we study the character of the spin-glass (SG) state of a site-diluted dipolar Ising model. We consider systems of dipoles randomly placed on a fraction x of all L^3 sites of a simple cubic lattice that point…

Statistical Mechanics · Physics 2015-03-13 Juan J. Alonso

By tempered Monte Carlo simulations, we study site-diluted Ising systems of magnetic dipoles. All dipoles are randomly placed on a fraction x of all L^3 sites of a simple cubic lattice, and point along a given crystalline axis. For x_c<…

Statistical Mechanics · Physics 2010-09-01 J. J. Alonso , J. F. Fernández

Using tempered Monte Carlo simulations, we study the the spin-glass phase of dense packings of Ising dipoles pointing along random axes. We consider systems of L^3 dipoles (a) placed on the sites of a simple cubic lattice with lattice…

Statistical Mechanics · Physics 2017-09-13 J. J. Alonso , B. Alles

The nature of ordering in dilute dipolar interacting systems dates back to the work of Debye and is one of the most basic, oldest and as-of-yet unsettled problems in magnetism. While spin-glass order is readily observed in several…

Disordered Systems and Neural Networks · Physics 2014-10-30 Juan Carlos Andresen , Helmut G. Katzgraber , Vadim Oganesyan , Moshe Schechter

The nature of the glass transition is theoretically understood in the mean-field limit of infinite spatial dimensions, but the problem remains totally open in physical dimensions. Nontrivial finite-dimensional fluctuations are hard to…

Statistical Mechanics · Physics 2019-04-05 Ludovic Berthier , Patrick Charbonneau , Andrea Ninarello , Misaki Ozawa , Sho Yaida

It is believed that the $\pm J$ Ising spin-glass does not order at finite temperatures in dimension $d=2$. However, using a graphical representation and a contour argument, we prove rigorously the existence of a finite-temperature phase…

Disordered Systems and Neural Networks · Physics 2022-09-21 Yan Ru Pei , Massimiliano Di Ventra

We study the three-dimensional quantum Ising spin glass in a transverse magnetic field following the evolution of the bond probability distribution under Renormalisation Group transformations. The phase diagram (critical temperature $T_c$…

Condensed Matter · Physics 2009-10-22 Beatriz Boechat , Raimundo R. dos Santos , M. A. Continentino

A key open question in the glass transition field is whether a finite temperature thermodynamic transition to the glass state exists or not. Recent simulations of coupled replicas in atomistic models have found signatures of a static…

Statistical Mechanics · Physics 2015-06-18 Juan P. Garrahan

We here confirm the occurrence of spin glass phase transition and extract estimates of associated critical exponents of a highly monodisperse and densely compacted system of bare maghemite nanoparticles. This system has earlier been found…

Disordered Systems and Neural Networks · Physics 2013-07-02 R. Mathieu , J. A. De Toro , D. Salazar , S. S. Lee , J. L. Cheong , P. Nordblad

The metastable states of a glass are counted by adding a weak pinning field which explicitly breaks the ergodicity. Their entropy, that is the logarithm of their number, is extensive in a range of temperatures $T_G < T < T_C$ only, where…

Condensed Matter · Physics 2009-10-28 R. Monasson

AC susceptibility measurements are presented on the dilute, dipolar coupled, Ising magnet LiHo$_x$Y$_{1-x}$F$_4$ for a concentration $x = 0.045$. The frequency and temperature dependences of the susceptibility show characteristic glassy…

Disordered Systems and Neural Networks · Physics 2011-12-01 J. A. Quilliam , S. Meng , C. G. A. Mugford , J. B. Kycia

The glass transition is considered within two toys models, a mean field spin glass and a directed polymer in a correlated random potential. In the spin glass model there occurs a dynamical transition, where the system condenses in a state…

Disordered Systems and Neural Networks · Physics 2009-10-30 Th. M. Nieuwenhuizen

We study the three-dimensional system of magnetic nanoparticle dipoles randomly oriented along quenched easy axes. Directions of the magnetic momenta are described by the Ising variables which allow the momenta to flip along their random…

Disordered Systems and Neural Networks · Physics 2010-09-17 Victor Dotsenko

It is frequently assumed that in the limit of vanishing cooling rate, the glass transition phenomenon becomes a thermodynamic transition at a temperature $T_{K}$. However, with any finite cooling rate, the system falls out of equilibrium at…

Statistical Mechanics · Physics 2015-05-13 Saurish Chakrabarty , Smarajit Karmakar , Chandan Dasgupta

We have studied the three-dimensional Ising spin glass with a $\pm J$ distribution by Monte Carlo simulations. Using larger sizes and much better statistics than in earlier work, a finite size scaling analysis shows quite strong evidence…

Condensed Matter · Physics 2009-10-28 N. Kawashima , A. P. Young

We present ac susceptibility and specific heat measurements taken on samples of LiHo$_x$Y$_{1-x}$F$_4$ in the dilute limit: x = 0.018, 0.045, 0.080 and 0.12. Susceptibility measurements show glassy behavior including wide absorption spectra…

Disordered Systems and Neural Networks · Physics 2015-06-05 J. A. Quilliam , S. Meng , J. B. Kycia
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