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We built a model where all spins are in interaction with each other via an antiferromagnetic Ising Hamiltonian. The geometry of such a model is a tetrahedron placed on a hypersphere in spaces of dimensions enclosed between 1 and 9. Due to…

Computational Physics · Physics 2007-05-23 N. Olivi-Tran , R. V. Paredes

The Ising spin glass model in a transverse field has a zero temperature phase transition driven solely by quantum fluctuations. This quantum phase transition occuring at a critical transverse field strength has attracted much attention…

Condensed Matter · Physics 2007-05-23 Heiko Rieger , A. Peter Young

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

Krzakala, Ricci-Tersenghi and Zdeborova have shown recently that the random field Ising model with non-negative interactions and arbitrary external magnetic field on an arbitrary lattice does not have a static spin glass phase. In this…

Disordered Systems and Neural Networks · Physics 2011-01-06 Florent Krzakala , Federico Ricci-Tersenghi , David Sherrington , Lenka Zdeborová

We study an effective spin model derived perturbatively from random transverse-field Ising model on the pyrochlore lattice. The model consists of spin-configurations on the pyrochlore lattice, restricted to the spin-ice subspace, with spins…

Strongly Correlated Electrons · Physics 2020-05-27 Anirudha Menon , Tom Pardini , Rajiv R. P. Singh

We use a random pinning procedure to study amorphous order in two glassy spin models. On increasing the concentration of pinned spins at constant temperature, we find a sharp crossover (but no thermodynamic phase transition) from bulk…

Statistical Mechanics · Physics 2015-03-19 Robert L. Jack , Ludovic Berthier

The one-dimensional long-range Ising spin glass provides useful insights into the properties of finite dimensional spin glasses with short-range interactions. The defect energy renormalization group equations derived for it by Kotliar,…

Disordered Systems and Neural Networks · Physics 2013-05-29 M. A. Moore

We provide strong evidence that the effective spin-spin interaction in a multimodal confocal optical cavity gives rise to a self-induced glassy phase, which emerges exclusively from the peculiar euclidean correlations and is not related to…

Statistical Mechanics · Physics 2021-05-12 Vittorio Erba , Mauro Pastore , Pietro Rotondo

The question of the existence of order in two-dimensional isotropic dipolar Heisenberg antiferromagnets is studied. It is shown that the dipolar interaction leads to a gap in the spin-wave energy and a nonvanishing order parameter. The…

Condensed Matter · Physics 2009-10-22 C. Pich , F. Schwabl

The ferromagnetic Ising spins are modeled on a recursive lattice constructed from random-angled rhombus units with stochastic configurations, to study the magnetic properties of the bulk Fe-based metallic glass. The integration of spins on…

Materials Science · Physics 2015-07-06 Ran Huang , Ling Zhang , Chong Chen , Chengjie Wu , Linyin Yan

Within the wide class of disordered materials, spin glasses occupy a special place because of their conceptually simple definition of randomly interacting spins. Their modelling has triggered spectacular developments of out-of-equilibrium…

Disordered Systems and Neural Networks · Physics 2019-04-02 Eric Vincent , Vincent Dupuis

The ordering of the one-dimensional Heisenberg spin glass interacting via the long-range power-law interaction is studied by Monte Carlo simulations. Particular attention is paid to the possible occurrence of the ``spin-chirality…

Disordered Systems and Neural Networks · Physics 2015-06-25 Akihiro Matsuda , Mitsuru Nakamura , Hikaru Kawamura

We study numerically the nonequilibrium dynamics of the Ising Spin Glass, for a time that spans eleven orders of magnitude, thus approaching the experimentally relevant scale (i.e. {\em seconds}). We introduce novel analysis techniques that…

Motivated by the anisotropic interactions between fish, we implement spatially anisotropic and therefore non-reciprocal interactions in the 2D Ising model. First, we show that the model with non-reciprocal interactions alters the system…

Soft Condensed Matter · Physics 2023-05-10 Daniel S. Seara , Akash Piya , A. Pasha Tabatabai

The multifractal properties of the Edwards-Anderson order parameter of the short-range Ising spin glass model on d=3 diamond hierarchical lattices is studied via an exact recursion procedure. The profiles of the local order parameter are…

Disordered Systems and Neural Networks · Physics 2009-10-30 E. Nogueira , S. Coutinho , F. D. Nobre , E. M. F. Curado , J. R. L. de Almeida

A new order parameter is constructed for SU(2) lattice gauge theory in the context of the two-real-replica method normally used for spin glasses. The order parameter is sensitive to a global Z2 subgroup of the gauge symmetry which is seen…

High Energy Physics - Lattice · Physics 2010-03-29 Michael Grady

In the three-dimensional Heisenberg spin glass in a random field we study the properties of the inherent structures that are obtained by an instantaneous cooling from infinite temperature. For not too large field the density of states…

Disordered Systems and Neural Networks · Physics 2015-12-29 Marco Baity-Jesi , Victor Martin-Mayor , Giorgio Parisi , Sergio Perez-Gaviro

The non-equilibrium ageing behaviour of the 3D and 4D critical Ising spin glass is studied for both binary and gaussian disorder. The same phenomenology of the time-dependent scaling as in non-disordered magnets is found but the…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel , Michel Pleimling

Spin glass dynamics is a strong function of spatial dimensionality $D$. The lower critical dimension is close to 2.5, so that, in two dimensions, the condensation temperature $T_\text{g}=0$, and only fluctuations are present at finite…

Disordered Systems and Neural Networks · Physics 2026-04-20 Hongze Li , Raymond L. Orbach , Gregory G. Kenning

We study numerically the nonequilibrium dynamics of the three-dimensional Heisenberg Edwards-Anderson spin glass submitted to protocols during which temperature is shifted or cycled within the spin glass phase. We show that (partial)…

Disordered Systems and Neural Networks · Physics 2009-11-11 Ludovic Berthier , A. P. Young