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The large distance behaviors of the random field and random anisotropy O(N) models are studied with the functional renormalization group in 4-\epsilon dimensions. The random anisotropy Heisenberg (N=3) model is found to have a phase with…

无序系统与神经网络 · 物理学 2009-10-31 D. E. Feldman

Extensive Monte Carlo simulations are used to investigate the low-temperature properties of the random anisotropy Heisenberg model, which describes the magnetic behavior of amorphous rare-earth-transition metal alloy. We show that the…

无序系统与神经网络 · 物理学 2009-11-10 M. Itakura

Monte Carlo simulations have been used to study a discretized Heisenberg ferromagnet (FM) with random uniaxial single-site anisotropy on $L \times L \times L$ simple cubic lattices, for $L$ up to 64. The spin variable on each site is chosen…

无序系统与神经网络 · 物理学 2009-10-31 Ronald Fisch

We study the ferromagnetic phase transition in a randomly layered Heisenberg magnet using large-scale Monte-Carlo simulations. Our results provide numerical evidence for the infinite-randomness scenario recently predicted within a…

统计力学 · 物理学 2015-03-19 Fawaz Hrahsheh , Hatem Barghathi , Thomas Vojta

The random-anisotropy Heisenberg model is numerically studied on lattices containing over ten million spins. The study is focused on hysteresis and metastability due to topological defects, and is relevant to magnetic properties of…

统计力学 · 物理学 2015-12-09 Thomas C. Proctor , Eugene M. Chudnovsky , Dmitry A. Garanin

Using exact diagonalization techniques we study the dynamical response of the anisotropic disordered Heisenberg model for systems of S=1/2 spins with infinite range random exchange interactions at temperature T=0. The model can be…

无序系统与神经网络 · 物理学 2007-05-23 Liliana Arrachea , Marcelo J. Rozenberg

We investigate the nature of the critical behaviour of the random-anisotropy Heisenberg model (RAM), which describes a magnetic system with random uniaxial single-site anisotropy, such as some amorphous alloys of rare earths and transition…

无序系统与神经网络 · 物理学 2007-05-23 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We study the surface scaling behavior of a semi-infinite $d$-dimensional O(N) spin system in the presence of quenched random field and random anisotropy disorders. It is known that above the lower critical dimension $d_{\mathrm{lc}}=4$ the…

无序系统与神经网络 · 物理学 2012-09-06 Andrei A. Fedorenko

We study the ferromagnetic phase transition in a randomly layered Heisenberg model. A recent strong-disorder renormalization group approach [Phys. Rev. B 81, 144407 (2010)] predicted that the critical point in this system is of exotic…

强关联电子 · 物理学 2012-09-10 Fawaz Hrahsheh , Hatem Barghathi , Priyanka Mohan , Rajesh Narayanan , Thomas Vojta

The spin-1/2 XXZ Heisenberg magnet is considered for the case of the anisotropy parameter tending to infinity (so-called, Ising limit). A thermal correlation function of the ferromagnetic string is calculated over the ground state. The…

统计力学 · 物理学 2019-01-14 N. M. Bogoliubov , C. Malyshev

We reconsider the problem of the critical behavior of a three-dimensional $O(m)$ symmetric magnetic system in the presence of random anisotropy disorder with a generic trimodal random axis distribution. By introducing $n$ replicas to…

无序系统与神经网络 · 物理学 2020-02-07 Dmytro Shapoval , Maxym Dudka , Andrei A. Fedorenko , Yurij Holovatch

One dimensional spin-1/2 $XXZ$ model in a transverse magnetic field is studied. It is shown that the field induces the gap in the spectrum of the model with easy-plain anisotropy. Using conformal invariance the field dependence of the gap…

强关联电子 · 物理学 2009-11-07 D. V. Dmitriev , V. Ya. Krivnov , A. A. Ovchinnikov , A. Langari

We analyse the low-temperature behaviour of the Heisenberg model on a two-dimensional lattice of finite size. Presence of a residual magnetisation in a finite-size system enables us to use the spin wave approximation, which is known to give…

高能物理 - 理论 · 物理学 2008-11-26 Oleksandr Kapikranian , Bertrand Berche , Yurij Holovatch

We study the long-distance behavior of the O(N) model in the presence of random fields and random anisotropies correlated as ~1/x^{d-sigma} for large separation x using the functional renormalization group. We compute the fixed points and…

无序系统与神经网络 · 物理学 2009-11-13 Andrei A. Fedorenko , Florian Kühnel

We investigate the nature of the critical behavior of the random-anisotropy Heisenberg model (RAM), which describes a magnetic system with random uniaxial single-site anisotropy, such as some amorphous alloys of rare earths and transition…

无序系统与神经网络 · 物理学 2007-05-23 Francesco Parisen Toldin , Andrea Pelissetto , Ettore Vicari

We introduce and implement a reformulation of the strong disorder renormalization group method in real space, well suited to study bond disordered antiferromagnetic power law coupled quantum spin chains. We derive the Master equations for…

无序系统与神经网络 · 物理学 2025-12-12 Stefan Kettemann

The interplay and competition of magnetic and superconducting correlations in the weakly interacting two-dimensional Hubbard Model is investigated by means of the functional renormalization group. At zero temperature the flow of…

强关联电子 · 物理学 2009-11-11 W. Metzner , J. Reiss , D. Rohe

The $S=1/2$ Heisenberg chains with bond alternation and randomness on the strong bonds are studied by the density matrix renormalization group method. It is assumed that the odd-th bond is antiferromagnetic with strength $J$ and even-th…

强关联电子 · 物理学 2009-11-07 Kazuo Hida

In this review we consider glass states of several disordered systems: vortices in impure superconductors, amorphous magnets, and nematic liquid crystals in random porous media. All these systems can be described by the random-field or…

无序系统与神经网络 · 物理学 2009-11-07 D. E. Feldman

The two dimensional Hubbard model in the presence of diagonal and off-diagonal disorder is studied at half filling with a finite temperature quantum Monte Carlo method. Magnetic correlations as well as the electronic compressibility are…

凝聚态物理 · 物理学 2009-10-28 Martin Ulmke , Richard T. Scalettar
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