scholarly journals A quantum simulation approach for a three-dimensional Ising spin model—Comparison to mean field theory

AIP Advances ◽  
2017 ◽  
Vol 7 (5) ◽  
pp. 055103
Author(s):  
Zhaosen Liu ◽  
Orion Ciftja
Keyword(s):  
Field Theory ◽  
Model Comparison ◽  
Mean Field Theory ◽  
Mean Field ◽  
Three Dimensional ◽  
Quantum Simulation ◽  
Spin Model ◽  
Simulation Approach ◽  
Ising Spin

Spin glasses: recent advances in mean-field theory

1987 ◽  
Vol 65 (10) ◽  
pp. 1245-1250 ◽  
Author(s):  
B. W. Southern
Keyword(s):  
Field Theory ◽  
Spin Glasses ◽  
Glass Phase ◽  
Mean Field Theory ◽  
Mean Field ◽  
Three Dimensional ◽  
Spin Glass Phase ◽  
Ising Spin ◽  
Recent Advances ◽  
The Mean

A survey of recent advances in the mean-field theory of Ising spin glasses is presented. The physical picture of the spin-glass phase predicted by this theory is described, and its relationship to real three-dimensional systems is discussed.

Mean field theory of the orientational properties of (J = 1) hydrogen molecules on the surface of Grafoil

1979 ◽  
Vol 57 (11) ◽  
pp. 1852-1869 ◽  
Author(s):  
A. B. Harris ◽  
A. J. Berlinsky
Keyword(s):  
Field Theory ◽  
Model Comparison ◽  
Nearest Neighbor ◽  
Mean Field Theory ◽  
Computer Calculation ◽  
Mean Field ◽  
Free Energy Calculations ◽  
Axially Symmetric ◽  
Hydrogen Molecules ◽  
Ordered Phases

A mean field theory is developed which is applicable to the orientational behavior of (J = 1) hydrogen molecules on the surface of Grafoil. The hydrogen molecules are assumed to form a triangular lattice in a weak, axially symmetric crystal field, Vc. perpendicular to the substrate and to interact via the electric quadrupole–quadrupole interaction with nearest-neighbor coupling constant Γ. Free energy calculations for the various possible ordered phases are presented, and a Landau expansion is used to investigate the phase boundary between the disordered and ordered phases. A computer calculation, based on the iterative method of James, is used to determine the lines of transition between ordered phases. For almost all values of Vc < 22.5Γ, the disordered to ordered state phase transition is continuous. Four distinct types of ordered phases are found — a four-sublattice phase, two two-sublattice phases, and a one-sublattice phase which resembles an X–Y model. Comparison is made to the recent nmr data of Kubik and Hardy for H2 and D2 on Grafoil.

Ferrimagnetic mixed Ising spin (7/2, 1/2) system: By Mean Field Theory, exact recursion relations and Monte Carlo method

2021 ◽  
pp. 413627
Author(s):  
G. Dimitri Ngantso ◽  
M. Karimou ◽  
A.L. Okana-Lomanga ◽  
A. Kadiri ◽  
R.A. Yessoufou ◽  
...  
Keyword(s):  
Field Theory ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Mean Field Theory ◽  
Mean Field ◽  
Recursion Relations ◽  
Ising Spin
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