scholarly journals Phase transition in ultrathin magnetic films with long-range interactions: Monte Carlo simulation of the anisotropic Heisenberg model

2007 ◽  
Vol 75 (1) ◽  
Author(s):  
M. Rapini ◽  
R. A. Dias ◽  
B. V. Costa
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Long Range ◽  
Heisenberg Model ◽  
Magnetic Films ◽  
Anisotropic Heisenberg Model ◽  
Long Range Interactions

scholarly journals MONTE-CARLO CALCULATIONS OF PHASE TRANSITION TEMPERATURE IN THE ISING MODEL WITH LONG RANGE INTERACTIONS

2017 ◽  
Vol 21 (6) ◽  
pp. 161-170
Author(s):  
A.A. Biryukov ◽  
Y.V. Degtyarova
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Transition Temperature ◽  
Long Range ◽  
Phase Transition Temperature ◽  
Three Dimensional ◽  
Ising Models ◽  
Monte Carlo Calculations ◽  
Spin Interactions ◽  
Long Range Interactions

The article deals with two-dimensional and three-dimensional Ising models with the long-range spin interactions. The intensity of interaction between the spins relies decreasing with distance r as a power law r-d-σ with dimensional d and parameter σ. The research are conducted by Monte-Carlo method with Metropolis algorithm using parallel computing techniques. On the basis of nu- merical simulation the dependence of the phase transition temperature on the parameter σ is found. It is shown that at phase transition temperature decreases with increasing σ.

scholarly journals Calculation of CPP-and CIP-magnitoresistance in multilayer magnetic structures

2018 ◽  
Vol 185 ◽  
pp. 01009
Author(s):  
Dmitry E. Romanovskii ◽  
Vladimir V. Prudnikov ◽  
Pavel V. Prudnikov ◽  
Marina V. Mamonova
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Magnetic Properties ◽  
Temperature Dependence ◽  
Heisenberg Model ◽  
Experimental Results ◽  
Magnetic Structures ◽  
Ferromagnetic Films ◽  
Anisotropic Heisenberg Model

A Monte Carlo simulation of magnetic properties for structures Fe/Cr/Fe and Co/Cu/Co, constructed from two ferromagnetic films divided by nonmagnetic film are carried out. The calculation of the magnetoresistance is carried out in case of CPP and CIP geometry for different thicknesses of the ferromagnetic films with the use of the anisotropic Heisenberg model for determination of magnetic properties. It was shown, that the obtained temperature dependence for the magnetoresistance agrees very well with experimental results.

Investigation of Temperature-Driven Ferroelectric Phase Transition via Modified Heisenberg Model: The Monte Carlo Simulation

2013 ◽  
Vol 813 ◽  
pp. 315-318 ◽  
Author(s):  
Sittidet Srinoi ◽  
Yongyut Laosiritaworn
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Ferroelectric Phase Transition ◽  
Heisenberg Model ◽  
Ferroelectric Phase ◽  
Structural Phase ◽  
Sudden Change ◽  
Ferroelectric Materials ◽  
Phase Changes

This work studies the temperature-driven ferroelectric phase transition of ferroelectric polarization under the absence of electric field. The modified Heisenberg model in three dimensions was considered and simulated via Monte Carlo simulation. The Metropolis algorithm and the periodic boundary condition were employed. The dependence of electric polarization on temperature was investigated to define the ferroelectric phases and their structural phase transitions. From the results, with well-defined set of relevant temperature parameters, the phase dependent polarization-behavior was found with a sudden change in its behaviors at the transition points. The structure factors were also considered and supported these phase changes. This conclusively pinpointed the important of temperature-dependent parameters in modeling ferroelectric materials.

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