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Related papers: Imry-Ma phenomenon for the hard-core model on $\ma…

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We report on reentrance in the random field Ising and Blume-Capel models, induced by an asymmetric bimodal random field distribution. The conventional continuous line of transitions between the paramagnetic and ferromagnetic phases, the…

Statistical Mechanics · Physics 2024-03-19 Santanu Das , Sumedha

The competition between fractionalized spin-liquid states and magnetically ordered phases is an important paradigm in frustrated magnetism. Spin-orbit coupled Mott insulators with Ising-like magnetic anisotropies, such as Kitaev materials,…

Strongly Correlated Electrons · Physics 2022-12-08 G. Shankar , Chien-Hung Lin , Joseph Maciejko

The critical behaviour of the randomly spin-diluted Ising model in two space dimensions is investigated by a new method which combines a grand ensemble approach to disordered systems proposed by Morita with the phenomenological…

Condensed Matter · Physics 2009-10-22 R. Kühn

We study the phase transition in a face-centered-cubic antiferromagnet with Ising spins as a function of the concentration $p$ of ferromagnetic bonds randomly introduced into the system. Such a model describes the spin-glass phase at strong…

Statistical Mechanics · Physics 2014-03-05 V. Thanh Ngo , D. Tien Hoang , Hung T. Diep , I. A. Campbell

Noncollinear and noncoplanar magnetic textures including skyrmions and vortices act as emergent electromagnetic fields and give rise to novel electronic and transport properties. We here report a unified understanding of noncoplanar…

Strongly Correlated Electrons · Physics 2017-06-28 Satoru Hayami , Ryo Ozawa , Yukitoshi Motome

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

We uncover a disorder-driven instability in the diffusive Fermi liquid phase of a class of many-fermion systems, indicative of a metal-insulator transition of first order type, which arises solely from the competition between quenched…

Disordered Systems and Neural Networks · Physics 2009-11-13 Matthew S. Foster , Andreas W. W. Ludwig

Spin-crossover compounds, which are characterized by magnetic ions showing low-spin and high-spin states at thermally accessible energies, are ubiquitous in nature. We here focus on the effect of an exchange interaction on the collective…

Statistical Mechanics · Physics 2009-11-13 Carsten Timm , Charles J. Pye

Hard-spin mean-field theory has recently been applied to Ising magnets, correctly yielding the absence and presence of an interface roughening transition respectively in $d=2$ and $d=3$ dimensions and producing the ordering-roughening phase…

Statistical Mechanics · Physics 2016-01-28 Tolga Caglar , A. Nihat Berker

Using high-precision Monte-Carlo simulations based on a parallel version of the Wang-Landau algorithm and finite-size scaling techniques we study the effect of quenched disorder in the crystal-field coupling of the Blume-Capel model on the…

Statistical Mechanics · Physics 2020-12-23 Erol Vatansever , Zeynep Demir Vatansever , Panagiotis E. Theodorakis , Nikolaos G. Fytas

The effects of bond randomness on the phase diagram and critical behavior of the square lattice ferromagnetic Blume-Capel model are discussed. The system is studied in both the pure and disordered versions by the same efficient two-stage…

Statistical Mechanics · Physics 2015-05-14 A. Malakis , A. Nihat Berker , I. A. Hadjiagapiou , N. G. Fytas , T. Papakonstantinou

We briefly review some of the most relevant results that our group obtained in the past, while investigating the dynamics of the Fermi-Pasta-Ulam (FPU) models. A first result is the numerical evidence of the existence of two different kinds…

Statistical Mechanics · Physics 2016-08-31 Marco Pettini , Lapo Casetti , Monica Cerruti-Sola , Roberto Franzosi , E. G. D. Cohen

We revisit the phenomenon of spinodals in the presence of quenched disorder and develop a complete theory for it. We focus on the spinodal of an Ising model in a quenched random field (RFIM), which has applications in many areas from…

Soft Condensed Matter · Physics 2016-05-23 Saroj Kumar Nandi , Giulio Biroli , Gilles Tarjus

The effect of an in-plane magnetic field upon open quasi-two-dimensional electron and hole systems is investigated in terms of the carrier ground-state spectrum. The magnetic field, classified as weak from the viewpoint of correlation…

Disordered Systems and Neural Networks · Physics 2009-11-10 Yu. V. Tarasov

We study a 2D exchange model with a weak static random field on lattices containing over one hundred million spins. Ferromagnetic correlations persist on the Imry-Ma scale inversely proportional to the random-field strength and decay…

Disordered Systems and Neural Networks · Physics 2018-07-11 E. M. Chudnovsky , D. A. Garanin

We study the critical behavior of a general class of cubic-symmetric spin systems in which disorder preserves the reflection symmetry $s_a\to -s_a$, $s_b\to s_b$ for $b\not= a$. This includes spin models in the presence of random…

Statistical Mechanics · Physics 2011-07-19 Pasquale Calabrese , Andrea Pelissetto , Ettore Vicari

Nonreciprocal interactions in many-body systems lead to time-dependent states, commonly observed in biological, chemical, and ecological systems. The stability of these states in the thermodynamic limit and the critical behavior of the…

Statistical Mechanics · Physics 2025-04-01 Yael Avni , Michel Fruchart , David Martin , Daniel Seara , Vincenzo Vitelli

We study analytically the one-dimensional Ising model with a random binary distribution of ferromagnetic and antiferromagnetic exchange couplings at zero temperature. We introduce correlations in the disorder by assigning a dimer of one…

Disordered Systems and Neural Networks · Physics 2018-03-28 S. Bahareh Seyedein Ardebili , Reza Sepehrinia

The mixed spin-1/2 Ising model and spin-1 Blume-Capel model in an hexagonal nanowire structure under the presence of crystal field is considered. The free energy is obtained through the transfer matrix technique, which is solved…

Statistical Mechanics · Physics 2022-03-02 R. A. Pimenta , O. Rojas , S. M. de Souza

We investigate the impact of random bond disorder on quantum skyrmions using a spin-half quantum Heisenberg model on the square lattice with Dzyaloshinskii-Moriya interaction, Heisenberg anisotropy, and boundary-pinned magnetic field.…

Strongly Correlated Electrons · Physics 2025-10-21 Amit Kumar , Kalpataru Pradhan