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Binary mixtures of large and small particles with disparate size ratio exhibit a rich phenomenology at their glass transition points. In order to gain insights on such systems, we introduce and study a two-component version of the $p$-spin…

Disordered Systems and Neural Networks · Physics 2016-08-03 Harukuni Ikeda , Atsushi Ikeda

A lattice model of spinless interacting electrons is used to formulate the Landau theory of the Fermi liquid to electron glass quantum phase transition. We demonstrate that the presence of additional random site energies does not affect the…

Strongly Correlated Electrons · Physics 2009-11-07 Denis Dalidovich , V. Dobrosavljevic

We study the equilibrium and dynamical properties of a spherical version of the frustrated Blume-Emery-Griffiths model at mean field level for attractive particle-particle coupling (K>0). Beyond a second order transition line from a…

Statistical Mechanics · Physics 2009-11-10 A. Caiazzo , A. Coniglio , M. Nicodemi

We consider the Curie-Weiss model at a given initial temperature in vanishing external field evolving under a Glauber spin-flip dynamics corresponding to a possibly different temperature. We study the limiting conditional probabilities and…

Mathematical Physics · Physics 2015-05-18 Victor Ermolaev , Christof Kuelske

The physics of the spin glass (SG) state, with magnetic moments (spins) frozen in random orientations, is one of the most intriguing problems in condensed matter physics. While most theoretical studies have focused on the Edwards-Anderson…

Disordered Systems and Neural Networks · Physics 2009-09-02 Ka-Ming Tam , Michel J. P. Gingras

A recent interesting paper [Yucesoy et al. Phys. Rev. Lett. 109, 177204 (2012), arXiv:1206:0783] compares the low-temperature phase of the 3D Edwards-Anderson (EA) model to its mean-field counterpart, the Sherrington-Kirkpatrick (SK) model.…

Disordered Systems and Neural Networks · Physics 2013-05-28 A. Billoire , L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , G. Parisi , F. Ricci-Tersenghi , J. J. Ruiz-Lorenzo , D. Yllanes

A model glass is considered with one type of fast ($\beta$-type) of processes, and one type of slow processes ($\alpha$-type). On time-scales where the fast ones are in equilibrium, the slow ones have a dynamics that resembles the one of…

Statistical Mechanics · Physics 2009-11-07 Luca Leuzzi , Theo M. Nieuwenhuizen

We introduce a finite dimensional anharmonic soft spin glass in a field and show how it allows the construction a field theory at zero temperature and the corresponding loop expansion. The mean field level of the model coincides with a…

Disordered Systems and Neural Networks · Physics 2022-08-31 Pierfrancesco Urbani

We study an M-p-spin spin glass model with p=3 and M=3 in three dimensions using the Migdal-Kadanoff renormalization group approximation (MKA). In this version of the p-spin model, there are three (M=3) Ising spins on each site. At…

Statistical Mechanics · Physics 2012-03-20 Joonhyun Yeo , M. A. Moore

We introduce a Sherrington-Kirkpatrick spin-glass model with the addition of elastic degrees of freedom. The problem is formulated in terms of an effective four-spin Hamiltonian in the pressure ensemble, which can be treated by the replica…

Disordered Systems and Neural Networks · Physics 2009-04-30 D. B. Liarte , S. R. Salinas , C. S. O. Yokoi

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

Disordered Systems and Neural Networks · Physics 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

We analyze the Blume-Emery-Griffiths model with disordered magnetic interaction that displays the inverse freezing phenomenon. The behavior of this spin-1 model in crystal field is studied throughout the phase diagram and the transition and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Andrea Crisanti , Luca Leuzzi

Second-order phase transitions have no latent heat and are characterized by a change in symmetry. In addition to the conventional symmetric and anti-symmetric states under permutations of bosons and fermions, mathematical…

Quantum Gases · Physics 2017-05-22 Vladimir A. Yurovsky

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 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…

Disordered Systems and Neural Networks · Physics 2007-11-20 Kazutaka Takahashi

Temperature chaos is a striking phenomenon in spin glasses, where even slight changes in temperature lead to a complete reconfiguration of the spin state. Another intriguing effect is the reentrant transition, in which lowering the…

Disordered Systems and Neural Networks · Physics 2025-10-24 Hidetoshi Nishimori , Masayuki Ohzeki , Manaka Okuyama

We have studied dynamical behaviour of the infinite-range Ising spin glass model with $p$-spin interaction above and below the transition into the non-ergodic phase. The transition is continuous at sufficiently high external magnetic field.…

Condensed Matter · Physics 2007-05-23 D. M. Kagan , M. V. Feigelman

In this paper, we exactly solve, within the grand canonical ensemble, a minimal spin model with the hybrid phase transition. We call the model "diffusion-based" because its hamiltonian can be recovered from a simple dynamic procedure, which…

Statistical Mechanics · Physics 2016-07-13 Agata Fronczak , Piotr Fronczak

The thermodynamics of the infinite-range Ising spin glass with p-spin interactions in the presence of an external magnetic field h is investigated analytically using the replica method. We give emphasis to the analysis of the transition…

Statistical Mechanics · Physics 2009-10-31 Viviane M de Oliveira , J F Fontanari

A zero temperature Anderson-Mott transition driven by spin disorder can be `tuned' by an applied magnetic field to achieve colossal magnetoconductance. Usually this is not possible since spin disorder by itself cannot localise a high…

Strongly Correlated Electrons · Physics 2009-11-07 Pinaki Majumdar , Sanjeev Kumar
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