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In zero magnetic field the ground state manifold of a ferromagnetic spin-1 condensate is SO(3) and exhibits $\mathbb{Z}_2$ vortices as topological defects. We investigate the phase ordering dynamics of this system after being quenched into…

Quantum Gases · Physics 2017-12-29 Lewis A. Williamson , P. B. Blakie

The influence of disorder and interaction on the ground state polarization of the two-dimensional (2D) correlated electron gas is studied by numerical investigations of unrestricted Hartree-Fock equations. The ferromagnetic ground state is…

Strongly Correlated Electrons · Physics 2009-11-10 M. Nita , V. Dinu , A. Aldea , B. Tanatar

Ground state of the one-dimensional transverse field Ising model is investigated under the hyperbolic deformation, where the energy scale of j-th bond is proportional to the function \cosh ( j \lambda ) that contains a parameter \lambda.…

Statistical Mechanics · Physics 2010-08-23 Hiroshi Ueda , Andrej Gendiar , Valentin Zauner , Takatsugu Iharagi , Tomotoshi Nishino

We consider the quantum Ising chain with uniformly distributed random antiferromagnetic couplings $(1 \le J_i \le 2)$ and uniformly distributed random transverse fields ($\Gamma_0 \le \Gamma_i \le 2\Gamma_0$) in the presence of a…

Disordered Systems and Neural Networks · Physics 2020-02-05 Péter Lajkó , Jean-Christian Anglès d'Auriac , Heiko Rieger , Ferenc Iglói

While ferromagnetism at relatively high temperatures is seen in diluted magnetic semiconductors such as Ga_(1-x)Mn_(x)As, doped semiconductors without magnetic ions have not shown evidence for ferromagnetism. Using a generalized disordered…

Strongly Correlated Electrons · Physics 2009-11-13 Erik Nielsen , R. N. Bhatt

We study one-dimensional disordered systems with average non-invertible symmetries, where quenched disorder may locally break part of the symmetry while preserving it upon disorder averaging. A canonical example is the random…

Disordered Systems and Neural Networks · Physics 2026-02-11 Yabo Li , Meng Cheng , Ruochen Ma

In the work, we investigated a generalized model of the fermionic lattice gas in the form of the extended Hubbard model with intersite Ising-like interactions (both antiferromagnetic and ferromagnetic) at the atomic limit on the triangular…

Statistical Mechanics · Physics 2024-01-24 Konrad Jerzy Kapcia , Jan Barański

For the quantum Ising model with ferromagnetic random couplings $J_{i,j}>0$ and random transverse fields $h_i>0$ at zero temperature in finite dimensions $d>1$, we consider the lowest-order contributions in perturbation theory in…

Disordered Systems and Neural Networks · Physics 2012-02-20 Cecile Monthus , Thomas Garel

We revisit the field-free Ising model on a square lattice with up to third-neighbour (nnnn) interactions, also known as the $J_{1}$--$J_{2}$--$J_{3}$ model, in the mean-field approximation. Using a systematic enumeration procedure, we show…

Statistical Mechanics · Physics 2021-12-20 Rodolfo Subert , Bela M. Mulder

We use a recently proposed perturbative numerical renormalization group algorithm to investigate ground-state properties of a frustrated three dimensional Heisenberg model on an anisotropic lattice. We analyze the ground state energy, the…

Strongly Correlated Electrons · Physics 2007-05-23 S. Moukouri , J. V. Alvarez

Two cases of a phenomenological model for ferromagnetism are considered, discrete and continuous. And the relationship, in general, between discrete and continuous models explored. In a similar way to the logistic map behavior, the…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Eshel Faraggi

We examine a novel type of disorder in quantum antiferromagnets. Our model consists of localized spins with antiferromagnetic exchanges on a bipartite quasiperiodic structure, which is geometrically disordered in such a way that no…

Strongly Correlated Electrons · Physics 2015-05-13 Attila Szallas , Anuradha Jagannathan , Stefan Wessel

We investigate the relaxation process of ferromagnetic domains in 2D subjected to the influence of both, static disorder of variable strength and weak interactions. The domains are represented by a two species bosonic mixture of $^{87}$Rb…

Quantum Gases · Physics 2020-09-09 C. Madroñero , G. A. Domínguez-Castro , L. A. González-García , R. Paredes

We study numerically the zero temperature Random Field Ising Model on cubic lattices of various linear sizes $ 6 \le L \le 90 $ in three dimensions with the purpose of verifying the validity of universality for disordered systems. For each…

Statistical Mechanics · Physics 2016-08-31 Nicolas Sourlas

We analyze the validity of perturbative renormalization group estimates obtained within the fixed dimension approach of frustrated magnets. We reconsider the resummed five-loop beta-functions obtained within the minimal subtraction scheme…

Statistical Mechanics · Physics 2009-11-13 B. Delamotte , Yu. Holovatch , D. Ivaneyko , D. Mouhanna , M. Tissier

In this paper, we explore the stability of the energy landscape of an Ising Hamiltonian when subjected to two kinds of perturbations: a perturbation on the coupling coefficients and external fields, and a perturbation on the underlying…

Mathematical Physics · Physics 2023-01-09 Bruno Hideki Fukushima-Kimura , Akira Sakai , Hisayoshi Toyokawa , Yuki Ueda

We classify the ground states and topological defects of a rotating two-component condensate when varying several parameters: the intracomponent coupling strengths, the intercomponent coupling strength and the particle numbers.No…

Quantum Gases · Physics 2011-10-26 Peter Mason , Amandine Aftalion

We consider a two-dimensional Ising model with random i.i.d. nearest-neighbor ferromagnetic couplings and no external magnetic field. We show that, if the probability of supercritical couplings is small enough, the system admits a…

Disordered Systems and Neural Networks · Physics 2015-05-30 L. Bertini , Emilio N. M. Cirillo , E. Olivieri

Using exact optimization methods, we find all of the ground states of +/- h random-field Ising magnets (RFIM) and of dilute antiferromagnets in a field (DAFF). The degenerate ground states are usually composed of isolated clusters…

Disordered Systems and Neural Networks · Physics 2007-05-23 Sorin Bastea , Philip M. Duxbury

We report investigations of the structural, magnetic, electrical transport and thermal properties of five compositions of the metallic perovskite GdRh$_3$C$_{1-x}$B$_x$ ($0.00 \le x \le 1.00$). Our results show that all the five…

Strongly Correlated Electrons · Physics 2020-09-09 Abhishek Pandey , A. K. Singh , Shovan Dan , K. Ghosh , I. Das , S. Tripathi , U. Kumar , R. Ranganathan , D. C. Johnston , Chandan Mazumdar