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We study the XYZ spin-1/2 chain placed in a magnetic field pointing along the x-axis. We use bosonization and a renormalization group analysis to show that the model has a non-trivial fixed point at a certain value of the XY anisotropy a…

Strongly Correlated Electrons · Physics 2007-05-23 Amit Dutta , Diptiman Sen

Three dimensional anisotropic XY ferromagnet driven by elliptically polarized propagating magnetic field wave has been extensively investigated by Monte Carlo simulation with Metropolis single spin flip algorithm. Both the effects of the…

Statistical Mechanics · Physics 2024-08-20 Olivia Mallick , Muktish Acharyya

Dynamic relaxation of the XY model and fully frustrated XY model quenched from an initial ordered state to the critical temperature or below is investigated with Monte Carlo methods. Universal power law scaling behaviour is observed. The…

Statistical Mechanics · Physics 2015-06-25 H. J. Luo , B. Zheng

We compute the chiral critical exponents for the chiral transition in frustrated two- and three-component spin systems with noncollinear order, such as stacked triangular antiferromagnets (STA). For this purpose, we calculate and analyze…

Statistical Mechanics · Physics 2009-11-07 Andrea Pelissetto , Paolo Rossi , Ettore Vicari

We study the purely relaxational critical dynamics with non-conserved order parameter (model A critical dynamics) for three-dimensional magnets with disorder in a form of the random anisotropy axis. For the random axis anisotropic…

Disordered Systems and Neural Networks · Physics 2007-05-23 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

Spontaneous symmetry breaking is responsible for the rich phenomena in equilibrium physics. Driving a system out-of-equilibrium can significantly enrich the possibility of spontaneous symmetry breaking, which occurs not only in space, but…

Statistical Mechanics · Physics 2023-07-06 Mingxi Yue , Zi Cai

The problem of anomalous scaling in magnetohydrodynamics turbulence is considered within the framework of the kinematic approximation, in the presence of a large-scale background magnetic field. The velocity field is Gaussian,…

Chaotic Dynamics · Physics 2009-10-31 N. V. Antonov , A. Lanotte , A. Mazzino

We investigate a generalized antiferromagnetic cluster XY model in a transverse magnetic field, where long-range interactions decay algebraically with distance. This model can be exactly solvable within a free fermion framework. By…

Strongly Correlated Electrons · Physics 2025-02-07 Tian-Cheng Yi , Chengxiang Ding , Maoxin Liu , Liangsheng Li , Wen-Long You

We study the dynamical properties of the fully frustrated Ising model. Due to the absence of disorder the model, contrary to spin glass, does not exhibit any Griffiths phase, which has been associated to non-exponential relaxation dynamics.…

Statistical Mechanics · Physics 2009-10-30 A. Fierro , A. de Candia , A. Coniglio

We determine the pre-asymptotic critical behavior at the quantum ferromagnetic transition in strongly disordered metals. We find that it is given by effective power laws, in contrast to the previously analyzed asymptotic critical behavior,…

Strongly Correlated Electrons · Physics 2015-03-16 T. R. Kirkpatrick , D. Belitz

Earlier work on dynamical critical phenomena in the context of magnetic hysteresis for uniaxial (scalar) spins, is extended to the case of a multicomponent (vector) field. From symmetry arguments and a perturbative renormalization group…

Statistical Mechanics · Physics 2016-08-31 Rava da Silveira , Mehran Kardar

We explore the magnetic phases in a Kondo lattice model on the geometrically frustrated Shastry-Sutherland lattice at metallic electron densities, searching for noncollinear and noncoplanar spin textures. Motivated by experimental…

Strongly Correlated Electrons · Physics 2017-12-05 Munir Shahzad , Pinaki Sengupta

We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice in the vortex regime. Within this regime, the spin system cannot overcome the energetic barrier of chirality…

Mathematical Physics · Physics 2020-11-23 Annika Bach , Marco Cicalese , Leonard Kreutz , Gianluca Orlando

The frustrated spin-1/2 model with weakly anisotropic ferromagnetic nearest-neighbor and antiferromagnetic next-nearest-neighbor exchanges is studied with use of variational mean-field approach, scaling estimates of the infrared…

Strongly Correlated Electrons · Physics 2009-11-13 D. V. Dmitriev , V. Ya. Krivnov

Drawing from exact, approximate and numerical results an overview of the properties of the out of equilibrium response function in phase ordering kinetics is presented. Focusing on the zero field cooled magnetization, emphasis is on those…

Statistical Mechanics · Physics 2009-11-10 Federico Corberi , Nicola Fusco , Eugenio Lippiello , Marco Zannetti

We present large-scale Monte-Carlo simulations of a two-dimensional (2d) bilayer quantum Heisenberg antiferromagnet with random dimer dilution. In contrast to the exotic scaling scenarios found in many other random quantum systems, the…

Strongly Correlated Electrons · Physics 2009-11-10 Rastko Sknepnek , Thomas Vojta , Matthias Vojta

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

The accurate determination of magnetic phase transitions in electronic systems is an important task of solid state theory. While numerically exact results are readily available for model systems such as the half-filled 3D Hubbard model, the…

Strongly Correlated Electrons · Physics 2022-01-19 Sergei Iskakov , Emanuel Gull

We show, that the 2D XY-model with random phase shifts exhibits for low temperature and small disorder a phase with quasi-long-range order, and that the transition to the disordered phase is {\it not} reentrant. These results are obtained…

Condensed Matter · Physics 2016-08-31 Thomas NATTERMANN , Stefan SCHEIDL , Sergey E. KORSHUNOV , Mai Suan LI

The critical behaviour of 3-dimensional disordered systems with magnetic field is investigated by analyzing the spectral fluctuations of the energy spectrum. We show that in the thermodynamic limit we have two different regimes, one for the…

Condensed Matter · Physics 2009-10-22 E. Hofstetter , M. Schreiber