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Related papers: Classical transverse Ising spin glass with short- …

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The spin-glass phase in the $\LHx$ compound is considered. At zero transverse field this system is well described by the classical Ising model. At finite transverse field deviations from the transverse field quantum Ising model are…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Schechter , P. C. E. Stamp , N. Laflorencie

The spin-glass transition in external magnetic field is studied both in and out of the limit of validity of mean-field theory on a diluted one dimensional chain of Ising spins where exchange bonds occur with a probability decaying as the…

Disordered Systems and Neural Networks · Physics 2013-05-29 L Leuzzi , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo

We use the generic replica symmetric cubic field-theory to study the transition of short range Ising spin glasses in a magnetic field around the upper critical dimension, d=6. A novel fixed-point is found, in addition to the well-known zero…

Disordered Systems and Neural Networks · Physics 2009-11-07 T. Temesvari , C. De Dominicis

We propose a general method for studying systems that display excitations with arbitrarily low energy in their low-temperature phase. We argue that in a rectangular right prism geometry, with longitudinal size much larger than the…

The spin-glass transition in a field in finite dimension is analyzed directly at zero temperature using a perturbative loop expansion around the Bethe lattice solution. The loop expansion is generated by the $M$-layer construction whose…

Disordered Systems and Neural Networks · Physics 2022-03-18 Maria Chiara Angelini , Carlo Lucibello , Giorgio Parisi , Gianmarco Perrupato , Federico Ricci-Tersenghi , Tommaso Rizzo

Here we study zero temperature quantum phase transition driven by the transverse field for random $\pm J$ Ising model on chain and square lattice. We present some analytical results for one dimension and some numerical results for very…

Statistical Mechanics · Physics 2007-05-23 Arnab Das , Amit Dutta , Bikas K. Chakrabarti

We study the quantum transition at $T=0$ in the spin-$\frac12$ Ising spin--glass in a transverse field in two dimensions. The world line path integral representation of this model corresponds to an effective classical system in (2+1)…

Condensed Matter · Physics 2009-10-22 Heiko Rieger , A. Peter Young

The very existence of a phase transition for spin glasses in an external magnetic field is controversial, even in high dimensions. We carry out massive simulations of the Ising spin-glass in a field, in six dimensions (which, according to…

Disordered Systems and Neural Networks · Physics 2024-10-30 Miguel Aguilar-Janita , Victor Martin-Mayor , Javier Moreno-Gordo , Juan Jesus Ruiz-Lorenzo

We derive the equilibrium phase diagram of the classical dipolar Ising antiferromagnet at the mean-field level on a geometry that mimics the two dimensional Kagome lattice. Our mean-field treatment is based on the combination of the cluster…

Statistical Mechanics · Physics 2020-05-20 Leticia F. Cugliandolo , Laura Foini , Marco Tarzia

To gain a better understanding of the interplay between frustrated long-range interactions and zero-temperature quantum fluctuations, we investigate the ground-state phase diagram of the transverse-field Ising model with…

Strongly Correlated Electrons · Physics 2019-10-16 J. Koziol , S. Fey , S. C. Kapfer , K. P. Schmidt

Extensive simulations are made on Ising Spin Glasses (ISG) with Gaussian, Laplacian and bimodal interaction distributions in dimension four. Standard finite size scaling analyses near and at criticality provide estimates of the critical…

Disordered Systems and Neural Networks · Physics 2014-08-06 P. H. Lundow , I. A. Campbell

We present results of numerical simulations on a one-dimensional Ising spin glass with long-range interactions. Parameters of the model are chosen such that it is a proxy for a short-range spin glass above the upper critical dimension (i.e.…

Disordered Systems and Neural Networks · Physics 2016-02-17 Matthew Wittmann , A. P. Young

A spin model that displays inverse melting and inverse glass transition is presented and analyzed. Strong degeneracy of the interacting states of an individual spin leads to entropic preference of the "ferromagnetic" phase, while lower…

Statistical Mechanics · Physics 2009-11-10 Nurith Schupper , Nadav M. Shnerb

Susceptibility of the transverse field Ising model on the square lattice is calculated numerically in the paramagnetic phase in a wide range of temperatures and transverse fields. An expression with one constant $\pi$, that determines both…

Mesoscale and Nanoscale Physics · Physics 2015-03-18 A. Kashuba

A mean-field model of Ising spin glass with the Hamiltonian being a sum of the infinite-range ferromagnetic and random antiferromagnetic interactions is studied. It is shown that this model has phase transition in external magnetic field…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. N. Timonin

We report exact numerical diagonalization results of the infinite-range Ising spin glass in a transverse field $\Gamma$ at zero temperature. Eigenvalues and eigenvectors are determined for various strengths of $\Gamma$ and for system sizes…

Statistical Mechanics · Physics 2008-02-03 Parongama Sen , Purusattam ray , Bikas K. Chakrabarti

A longstanding open question in the theory of disordered systems is whether short-range models, such as the random field Ising model or the Edwards-Anderson model, can indeed have the famous properties that characterize mean-field spin…

Probability · Mathematics 2024-03-11 Sourav Chatterjee

The transverse-field Ising model is widely studied as one of the simplest quantum spin systems. It is known that this model exhibits a phase transition at the critical inverse temperature $\beta_{\mathrm{c}}$, which is determined by the…

Mathematical Physics · Physics 2025-09-01 Yoshinori Kamijima , Akira Sakai

We study spin glasses with Kac type interaction potential for small but finite inverse interaction range $\gamma$. Using the theoretical setup of coupled replicas, through the replica method we argue that the probability of overlap profiles…

Disordered Systems and Neural Networks · Physics 2009-11-10 Silvio Franz , Fabio Lucio Toninelli

We study the zero-temperature behavior of the infinite-ranged Ising spin glass in a transverse field. Using spin summation techniques and Monte Carlo methods we characterize the zero-temperature quantum transition. Our results are well…

Condensed Matter · Physics 2009-10-28 J. V. Alvarez , Felix Ritort