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We present some numerical results for the Heisenberg spin-glass model with Gaussian interactions, in a three dimensional cubic lattice. We measure the AC susceptibility as a function of temperature and determine an apparent finite…

Other Condensed Matter · Physics 2009-11-10 Marco Picco , Felix Ritort

The $2d$ Hubbard model with nearest-neighbour hopping on the square lattice and an average of one electron per site is known to undergo an extended crossover from metallic to insulating behavior driven by proliferating antiferromagnetic…

Strongly Correlated Electrons · Physics 2020-03-19 Aaram J. Kim , Fedor Simkovic , Evgeny Kozik

We introduce a spin-1 version of the random energy model with crystal field. Crystal field controls the density of 0 spins in the system. We solve the model in the micro-canonincal ensemble. The model has a spin-glass transition at a finite…

Disordered Systems and Neural Networks · Physics 2024-11-05 Sumedha , Matteo Marsili

The principle and the efficiency of the Monte Carlo transfer-matrix algorithm are discussed. Enhancements of this algorithm are illustrated by applications to several phase transitions in lattice spin models. We demonstrate how the…

Condensed Matter · Physics 2009-10-28 M. P. Nightingale , H. W. J. Bloete

We present a numerical study of the random Blume-Capel model in three dimension. The phase diagram is characterized by spin-glass/paramagnet phase transitions both of first and second order in the thermodynamic sense. Numerical simulations…

Disordered Systems and Neural Networks · Physics 2011-04-12 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

We have completed a numerical investigation of the Anderson-Hubbard model for three-dimensional simple cubic lattices using a real-space self-consistent Hartree-Fock decoupling approximation for the Hubbard interaction. In this formulation…

Strongly Correlated Electrons · Physics 2015-05-13 X. Chen , R. J. Gooding

We study the phase transition of the $\pm J$ Heisenberg model in three dimensions. Using a dynamical simulation method that removes a drift of the system, the existence of the spin-glass (SG) phase at low temperatures is suggested. The…

Disordered Systems and Neural Networks · Physics 2007-05-23 F. Matsubara , T. Shirakura , S. Endoh

We consider a lattice gas model which in addition to the canonical nearest neighbor pair interatomic interaction accounts for a many-body interaction inside atomic trios. Interactions of this kind arise in the coherent strained epitaxy and…

Materials Science · Physics 2007-05-23 V. I. Tokar , H. Dreyssé

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

An effective Ising model for the spin-ice type Kondo lattice model is investigated by the classical Monte Carlo simulation. We clarify the magnetic phase diagram with four phases: ice-ferro, ice-(0,0,2\pi), 32-sublattice, and all-in/all-out…

Strongly Correlated Electrons · Physics 2014-08-29 Hiroaki Ishizuka , Masafumi Udagawa , Yukitoshi Motome

Although the Hubbard model is widely investigated, there are surprisingly few attempts to study the behavior of such a model in an external magnetic field. Using the Projector Quantum Monte Carlo technique, we show that the Hubbard model…

Strongly Correlated Electrons · Physics 2009-10-30 F. Bagehorn , R. Hetzel

The slow non-equilibrium dynamics of the Edwards-Anderson spin glass model on a hierarchical lattice is studied by means of a coarse-grained description based on renormalization concepts. We evaluate the isothermal aging properties and show…

Disordered Systems and Neural Networks · Physics 2009-11-10 Falk Scheffler , Hajime Yoshino , Philipp Maass

The work of this thesis concerns the problem of linear low energy excitations of vector spin glass models. An analytical and numerical study is carried out, considering a fully connected random-field Heisenberg model at zero temperature, a…

Disordered Systems and Neural Networks · Physics 2023-06-16 Flavio Nicoletti

Recent discovery of several van der waals magnetic material and moire magnet introduce to us an extremely challenging and revolutionary era of 2D magnetism and correlated phenomena for low dimensional material.More often the simplest spin…

Statistical Mechanics · Physics 2023-06-06 Nepal Banerjee

We study the effect in geometrically frustrated antiferromagnets of weak, random variations in the strength of exchange interactions. Without disorder the simplest classical models for these systems have macroscopically degenerate ground…

Disordered Systems and Neural Networks · Physics 2010-05-05 A. Andreanov , J. T. Chalker , T. E. Saunders , D. Sherrington

Recently, it has been rigorously verified that several one-dimensional (1D) spin models may exhibit a peculiar pseudo-transition accompanied with anomalous response of thermodynamic quantities in a close vicinity of pseudo-critical…

Statistical Mechanics · Physics 2020-01-08 Onofre Rojas , Jozef Strečka , Oleg Derzhko , S. M. de Souza

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

Using the results of large scale numerical simulations we study the probability distribution of the pseudo critical temperature for the three-dimensional Edwards-Anderson Ising spin glass and for the fully connected Sherrington-Kirkpatrick…

Disordered Systems and Neural Networks · Physics 2011-10-21 A. Billoire , L. A. Fernandez , A. Maiorano , E. Marinari , V. Martin-Mayor , D. Yllanes

In the +-J Edwards-Anderson spin glass, we find by Monte Carlo simulation the (approximate) ground state energy. Also, we check how in the relaxation towards this ground state the fraction of never flipped spins diminishes with time.

Condensed Matter · Physics 2015-06-25 D. Stauffer , P. M. C. de Oliveira

Motivated by the concept of geometrical frustration, we introduce a class of statistical mechanics lattice models for the glass transition. Monte Carlo simulations in three dimensions show that they display a dynamical glass transition…

Statistical Mechanics · Physics 2009-11-07 Giulio Biroli , Marc Mezard