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The phase diagram of the classical anisotropic (XXZ) Heisenberg model on the 2-dimensional triangular lattice is investigated using Monte Carlo methods. In the easy-axis limit, two finite temperature vortex unbinding transitions have been…

Statistical Mechanics · Physics 2009-10-31 W. Stephan , B. W. Southern

We present the results of Monte Carlo simulations for the antiferromagnetic classical XXZ model with easy-plane exchange anisotropy on the triangular lattice, which causes frustration of the spin alignment. The behaviour of this system is…

Statistical Mechanics · Physics 2009-10-30 Luca Capriotti , Ruggero Vaia , Alessandro Cuccoli , Valerio Tognetti

The Heisenberg antiferromagnet on a two-dimensional triangular lattice is a paradigmatic problem in frustrated magnetism. Even in the classical limit, its properties are far from simple. The "120 degree" ground state favoured by the…

Strongly Correlated Electrons · Physics 2011-12-19 Luis Seabra , Tsutomu Momoi , Philippe Sindzingre , Nic Shannon

The majority of magnetic materials possess some degree of magnetic anisotropy, either at the level of a single ion, or in the exchange interactions between different magnetic ions. Where these exchange interactions are also frustrated, the…

Strongly Correlated Electrons · Physics 2011-05-18 Luis Seabra , Nic Shannon

The classical, square lattice, uniaxially anisotropic Heisenberg antiferromagnet in a magnetic field parallel to the easy axis is studied using Monte Carlo techniques. The model displays a long-range ordered antiferromagnetic, an…

Statistical Mechanics · Physics 2007-05-23 M. Holtschneider , W. Selke , R. Leidl

We study the phase diagram and multicritical behavior of anisotropic Heisenberg antiferromagnets on a square lattice in the presence of a magnetic field along the easy axis. We argue that, beside the Ising and XY critical lines, the phase…

Statistical Mechanics · Physics 2009-11-13 Andrea Pelissetto , Ettore Vicari

We report a Monte Carlo study of the classical antiferromagnetic Heisenberg model with easy axis anisotropy on the triangular lattice. Both the free energy cost for long wavelength spin waves as well as for the formation of free vortices…

Statistical Mechanics · Physics 2009-10-31 W. Stephan , B. W. Southern

Classical uniaxially anisotropic Heisenberg and XY antiferromagnets in a field along the easy axis on a square lattice are analysed, applying ground state considerations and Monte Carlo techniques. The models are known to display…

Statistical Mechanics · Physics 2009-11-13 M. Holtschneider , W. Selke

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima

We report of a theoretical model for calculating the H-T phase diagrams of a rare-earth ferrimagnet, taking into account anisotropies originated by both magnetization sublattices' and by the surface. The possibility of an exchange spring…

Applied Physics · Physics 2025-08-05 V. V. Yurlov , K. A. Zvezdin , A. K. Zvezdin

Experiments in the antiferromagnetic phase of a quasi 2D $S=1/2$ quasi-square lattice antiferromagnet Cu(pz)2(ClO4)2 reveal a biaxial type of the anisotropy, instead of the easy-plane one, considered before. The weak in-plane anisotropy,…

Strongly Correlated Electrons · Physics 2013-06-12 K. Yu. Povarov , A. I. Smirnov , C. P. Landee

Effect of exchange anisotropy on the relaxation time of spin and vector chirality is studied for the antiferromagnetic classical Heisenberg model on the triangular lattice by using the nonequilibrium relaxation Monte Carlo method. We…

Strongly Correlated Electrons · Physics 2010-06-28 Takahiro Misawa , Yukitoshi Motome

The classical Heisenberg antiferromagnet with uniaxial exchange anisotropy, the XXZ model, and competing planar single-ion anisotropy in a magnetic field on a simple cubic lattice is studied with the help of extensive Monte Carlo…

Statistical Mechanics · Physics 2015-06-12 Walter Selke

We study classical Heisenberg antiferromagnets with uniaxial exchange anisotropy and a cubic anisotropy term on simple cubic lattices in an external magnetic field using ground state considerations and extensive Monte Carlo simulations. In…

Statistical Mechanics · Physics 2015-05-13 G. Bannasch , W. Selke

We consider quantum Heisenberg ferro- and antiferromagnets on the square lattice with exchange anisotropy of easy-plane or easy-axis type. The thermodynamics and the critical behaviour of the models are studied by the pure-quantum…

Statistical Mechanics · Physics 2015-06-24 A. Cuccoli , T. Roscilde , V. Tognetti , R. Vaia , P. Verrucchi

The classical and the quantum, spin $S=1/2, versions of the uniaxially anisotropic Heisenberg antiferromagnet on a square lattice in a field parallel to the easy axis are studied using Monte Carlo techniques. For the classical version,…

Statistical Mechanics · Physics 2011-11-09 M. Holtschneider , S. Wessel , W. Selke

The zero temperature phase diagram of a one-dimensional S=2 Heisenberg ferromagnet with single-ion cubic anisotropy is studied numerically using the density-matrix renormalization group method. Evidence is found that although the model does…

Condensed Matter · Physics 2009-10-31 M. Dudzinski , G. Fath , J. Sznajd

A classical variant of the two-dimensional anisotropic Heisenberg model reproducing inelastic neutron scattering experiments on La_5 Ca_9 Cu_24 O_41 [M. Matsuda et al., Phys.Rev. B 68, 060406(R) (2003)] is analysed using mostly Monte Carlo…

Statistical Mechanics · Physics 2009-11-10 R. Leidl , W. Selke

We study the two dimensional quantum Heisenberg antiferromagnet on the square lattice with easy-axis exchange anisotropy. By the semiclassical method called pure-quantum self-consistent harmonic approximation we analyse several…

Statistical Mechanics · Physics 2009-10-31 Alessandro Cuccoli , Valerio Tognetti , Tommaso Roscilde , Paola Verrucchi , Ruggero Vaia

The magnetic phase diagram at zero external field of an ensemble of dipoles with uniaxial anisotropy on a FCC lattice has been investigated from tempered Monte Carlo simulations. The uniaxial anisotropy is characterized by a random…

Materials Science · Physics 2021-11-16 Vincent Russier , Juan-Jose Alonso
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