Monte Carlo Study of the Anisotropic Three-Dimensional Heisenberg Model in a Crystal Field
نویسندگان
چکیده
We study the phase diagram of the three-dimensional classical ferromagnetic Heisenberg model with an easyplane crystalline anisotropy and an easy-axis exchange anisotropy through Monte Carlo simulations. We employ the Metropolis algorithm together with single-histogram techniques in order to characterize the transitions in each region of the phase diagram. Our results reveal, besides the disordered phase, the existence of Ising-like and XY-like ordered phases which are separated by a first-order transition line.
منابع مشابه
Bicritical or tetracritical: the 3D anisotropic Heisenberg antiferromagnet
The classical uniaxially anisotropic Heisenberg antiferromagnet on the simple cubic lattice, in the presence of an external magnetic field, is believed to have a multicritical point; however, there has been controversy whether it is a bicritical or a tetracritical point. We perform Monte Carlo simulations of this model and analyze the components of the staggered magnetization, the susceptibilit...
متن کاملAnisotropic two-dimensional Heisenberg model by Schwinger-boson Gutzwiller projection method
Two-dimensional Heisenberg model with anisotropic couplings in the x and y directions (Jx 6= Jy) is considered. The model is first solved in the Schwingerboson mean-field approximation. Then the solution is Gutzwiller projected to satisfy the local constraint that there is only one boson at each site. The energy and spin-spin correlation of the obtained wavefunction are calculated for systems w...
متن کاملHigh-Temperature Series Analyses of the Classical Heisenberg and XY Model
Although there is now a good measure of agreement between Monte Carlo and high-temperature series expansion estimates for Ising (n = 1) models, published results for the critical temperature from series expansions up to 12th order for the three-dimensional classical Heisenberg (n = 3) and XY (n = 2) model do not agree very well with recent high-precision Monte Carlo estimates. In order to clari...
متن کاملIsing and anisotropic Heisenberg magnets with mobile defects
Motivated by experiments on (Sr,Ca,La)14Cu24O41, a two–dimensional Ising model with mobile defects and a two– dimensional anisotropic Heisenberg antiferromagnet have been proposed and studied recently. We extend previous investigations by analysing phase diagrams of both models in external fields using mainly Monte Carlo techniques. In the Ising case, the phase transition is due to the thermal ...
متن کاملAxial and off-axial dynamic transitions in uniaxially anisotropic Heisenberg ferromagnet: A comparison
Uniaxially anisotropic Heisenberg ferromagnet, in presence of a magnetic field varying sinusoidally in time, is studied by Monte Carlo simulation. The axial (field applied only along the direction of anisotropy) and off-axial (field applied only along the direction which is perpendicular to the direction of anisotropy) dynamic transitions are studied. By studying the distribution of dynamic ord...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004