A Monte Carlo method applied to the Heisenberg ferromagnet

1964 ◽  
Vol 60 (1) ◽  
pp. 115-122 ◽  
Author(s):  
D. C. Handscomb
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Method ◽  
Order Parameters ◽  
Heisenberg Ferromagnet ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Conventional Methods

AbstractFollowing on from a previous paper (5), we apply the new Monte Carlo method described there to the estimation of order parameters of a simple Heisenberg ferromagnet. By way of illustration, we include some results on the simple cubic lattice, comparing them with results obtained by conventional methods.

scholarly journals 3D ISING NONUNIVERSALITY: A MONTE CARLO STUDY

2005 ◽  
Vol 16 (08) ◽  
pp. 1217-1224 ◽  
Author(s):  
MELANIE SCHULTE ◽  
CAROLINE DROPE
Keyword(s):  
Monte Carlo ◽  
Ising Model ◽  
External Field ◽  
Nearest Neighbor ◽  
Monte Carlo Study ◽  
Universality Class ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Binder Cumulant

We investigate as a member of the Ising universality class the Next-Nearest Neighbor Ising model without external field on a simple cubic lattice by using the Monte Carlo Metropolis Algorithm. The Binder cumulant and the susceptibility ratio, which should be universal quantities at the critical point, were shown to vary for small negative next-nearest neighbor interactions.

ALGORITHMS FOR MONTE CARLO SIMULATIONS OF THE ISING MODELS ON A SIMPLE CUBIC LATTICE

1993 ◽  
Vol 04 (03) ◽  
pp. 525-537 ◽  
Author(s):  
NAOKI KAWASHIMA ◽  
NOBUYASU ITO ◽  
YASUMASA KANADA
Keyword(s):  
Monte Carlo ◽  
Heat Bath ◽  
Monte Carlo Algorithm ◽  
Cubic Lattice ◽  
Ising Spin ◽  
Metropolis Method ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Special Cases ◽  
Glass Model

The vectorized Monte Carlo algorithm by multi-spin coding is extended to the ±J Ising spin glass model on a simple cubic lattice in a magnetic field. Explicit logical expression is given for this algorithm. In addition, shorter logical expressions are found in some special cases. They are given for the heat-bath method under the general condition and for the Metropolis method under the condition, H = 0.

Monte Carlo studies of percolation phenomena for a simple cubic lattice

1976 ◽  
Vol 15 (5) ◽  
pp. 345-353 ◽  
Author(s):  
Amit Sur ◽  
Joel L. Lebowitz ◽  
J. Marro ◽  
M. H. Kalos ◽  
S. Kirkpatrick
Keyword(s):  
Monte Carlo ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Monte Carlo Studies ◽  
Percolation Phenomena

Monte Carlo Study of the Magnetic and Magnetocaloric Properties of La1-xCaxMnO3 (x = 0.33 and 0.5)

2012 ◽  
Vol 190 ◽  
pp. 347-350 ◽  
Author(s):  
O.O. Pavlukhina ◽  
Vasiliy D. Buchelnikov ◽  
V.V. Sokolovskiy ◽  
M.A. Zagrebin
Keyword(s):  
Monte Carlo ◽  
Calcium Ions ◽  
Monte Carlo Study ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Magnetocaloric Properties ◽  
Magnetic Ions ◽  
Curie Temperatures ◽  
Good Agreement

In our work the temperature dependencies of magnetization, entropy changes, and the Curie temperature (TC) of La1-xCaxMnO3 (x = 0.33 and 0.5) were investigated using Monte Carlo method and Heisenberg model. In our simulation, magnetic Mn3+ and Mn4+ ions are described by classical Heisenberg spins, while oxygen, lanthanum and calcium ions are considered as non-magnetic. The Mn magnetic ions are distributed on a simple cubic lattice according to the perovskite structure of the manganite. The theoretical Curie temperatures and magnetocaloric values are in a good agreement well with experimental data.

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