Finite-size scaling in ferromagnetic spin systems on the pyrochlore lattice

2020 ◽  
pp. 255-266
Author(s):  
K.S. Soldatov ◽  
◽  
M.A. Padalko ◽  
V.S. Strongin ◽  
D.Yu. Kapitan ◽  
...  
Keyword(s):  
Heisenberg Model ◽  
High Performance ◽  
Finite Size ◽  
Spin Systems ◽  
Xy Model ◽  
Finite Size Scaling ◽  
Critical Temperatures ◽  
Cluster Algorithms ◽  
Size Scaling ◽  
Classical Heisenberg Model

In this paper we present the results of the high-performance computations for the Ising model, the XY-model and the classical Heisenberg model for the pyrochlore lattice. We used Wolff and Swendsen-Wang cluster algorithms with GPU parallelization for the calculations. We obtained critical exponents and critical temperatures using finite-size scaling approach.

A FINITE-SIZE SCALING STUDY OF THE FOUR-DIMENSIONAL ISING MODEL ON THE CREUTZ CELLULAR AUTOMATON

1999 ◽  
Vol 10 (05) ◽  
pp. 875-881 ◽  
Author(s):  
N. AKTEKIN ◽  
A. GÜNEN ◽  
Z. SAĞLAM
Keyword(s):  
Magnetic Susceptibility ◽  
Ising Model ◽  
Cellular Automaton ◽  
Specific Heat ◽  
Finite Size ◽  
Scaling Relations ◽  
Finite Size Scaling ◽  
Critical Temperatures ◽  
Size Scaling ◽  
Creutz Cellular Automaton

The four-dimensional Ising model is simulated on the Creutz cellular automaton with increased precision. The data are analyzed according to the finite-size scaling relations available. The precision of the critical values related to magnetic susceptibility is improved by one digit, but in order to reach to the same precision for those related to the specific heat more simulation runs at the critical temperatures of the finite-size lattices are required.

scholarly journals Cluster analysis and finite-size scaling for Ising spin systems

1999 ◽  
Vol 60 (3) ◽  
pp. 2716-2720 ◽  
Author(s):  
Yusuke Tomita ◽  
Yutaka Okabe ◽  
Chin-Kun Hu
Keyword(s):  
Cluster Analysis ◽  
Finite Size ◽  
Spin Systems ◽  
Finite Size Scaling ◽  
Size Scaling ◽  
Ising Spin

Finite-size scaling of the frustrated Heisenberg model on a hexagonal lattice

1994 ◽  
Vol 50 (10) ◽  
pp. 6854-6859 ◽  
Author(s):  
A. Mailhot ◽  
M. L. Plumer ◽  
A. Caillé
Keyword(s):  
Heisenberg Model ◽  
Hexagonal Lattice ◽  
Finite Size ◽  
Finite Size Scaling ◽  
Size Scaling

scholarly journals Combined Light and Electron Scattering for Exploring Proximity Effects on Hydrogen Absorption in Vanadium

Energies ◽  
2021 ◽  
Vol 14 (24) ◽  
pp. 8251
Author(s):  
Wen Huang ◽  
Xin Xiao ◽  
Parker Steichen ◽  
Sotirios A. Droulias ◽  
Martin Brischetto ◽  
...  
Keyword(s):  
Thermodynamic Properties ◽  
Electron Scattering ◽  
Hydrogen Absorption ◽  
Light Transmission ◽  
Finite Size ◽  
Proximity Effects ◽  
Finite Size Scaling ◽  
Critical Temperatures ◽  
Size Scaling ◽  
Superlattice Structure

We investigate proximity effects on hydrogen absorption in ultra-thin vanadium layers through combing light transmission and electron scattering. We compare the thermodynamic properties of the vanadium layers, which are based on the superlattice structure of Cr/V (001) and Fe/V (001). We find an influence of the proximity effects on the finite-size scaling of the critical temperatures, which can be explained by a variation of dead layers in the vanadium. In addition to this, the proximity effects on hydrogen absorption are also verified from the changes of excess resistivity.

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