3,235 research outputs found
Chiral mixed phase in disordered 3d Heisenberg models
Using Monte Carlo simulations, we compute the spin stiffness of a site-random
3d Heisenberg model with competing ferromagnetic and antiferromagnetic
interactions. Our results for the pure limit yield values of the the critical
temperature and the critical exponent in excellent agreement with
previous high precision studies. In the disordered case, a mixed "chiral" phase
is found which may be in the same universality class as 3d Heisenberg spin
glasses.Comment: 5 pages, 4 figures, accepted in PRB Rapid Communication
Critical properties of a continuous family of XY noncollinear magnets
Monte Carlo methods are used to study a family of three dimensional XY
frustrated models interpolating continuously between the stacked triangular
antiferromagnets and a variant of this model for which a local rigidity
constraint is imposed. Our study leads us to conclude that generically weak
first order behavior occurs in this family of models in agreement with a recent
nonperturbative renormalization group description of frustrated magnets.Comment: 5 pages, 3 figures, minor changes, published versio
Phase Transitions with Discrete Symmetry Breaking in Antiferromagnetic Heisenberg Models on a Triangular Lattice
We study phase transition behavior of the Heisenberg model on a distorted
triangular lattice with competing interactions. The ground-state phase diagram
indicates that underlying symmetry can be changed by tuning parameters. We
focus on two cases in which a phase transition with discrete symmetry breaking
occurs. The first is that the order parameter space is SO(3). In
this case, a first-order phase transition, with threefold symmetry breaking,
occurs. The second has the order parameter space SO(3). In this
case, a second-order phase transition occurs with twofold symmetry breaking. To
investigate finite-temperature properties of these phase transitions from a
microscopic viewpoint, we introduce a method to make the connection between
continuous frustrated spin systems and the Potts model with invisible states.Comment: 5 pages, 2 figure
Monte Carlo Study of the Anisotropic Heisenberg Antiferromagnet on the Triangular Lattice
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 are obtained from the spin stiffness and vorticity modulus
respectively. Evidence for two distinct Kosterlitz-Thouless types of
defect-mediated phase transitions at finite temperatures is presented.Comment: 8 pages, 10 figure
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