Second-order phase boundary of the nearest-neighbor, finite-field Ising antiferromagnet for the triangular lattice: A series investigation

1978 ◽  
Vol 18 (11) ◽  
pp. 6265-6269 ◽  
Author(s):  
M. Ferer
Keyword(s):  
Finite Field ◽  
Phase Boundary ◽  
Triangular Lattice ◽  
Nearest Neighbor ◽  
Second Order ◽  
Ising Antiferromagnet

scholarly journals Histogram Monte Carlo study of the next-nearest-neighbor Ising antiferromagnet on a stacked triangular lattice

1993 ◽  
Vol 47 (21) ◽  
pp. 14312-14317 ◽  
Author(s):  
M. L. Plumer ◽  
A. Mailhot ◽  
R. Ducharme ◽  
A. Caillé ◽  
H. T. Diep
Keyword(s):  
Monte Carlo ◽  
Triangular Lattice ◽  
Nearest Neighbor ◽  
Monte Carlo Study ◽  
Ising Antiferromagnet

THE CRITICAL BEHAVIOR OF THE 2D SPIN-1 ISING MODEL WITH THE BILINEAR AND POSITIVE BIQUADRATIC NEAREST NEIGHBOR INTERACTIONS ON A CELLULAR AUTOMATON

2004 ◽  
Vol 15 (10) ◽  
pp. 1425-1438 ◽  
Author(s):  
A. SOLAK ◽  
B. KUTLU
Keyword(s):  
Cellular Automaton ◽  
Phase Boundary ◽  
Critical Behavior ◽  
Nearest Neighbor ◽  
Finite Size ◽  
Square Lattice ◽  
Two Dimensional ◽  
Finite Size Scaling ◽  
Creutz Cellular Automaton ◽  
Beg Model

The two-dimensional BEG model with nearest neighbor bilinear and positive biquadratic interaction is simulated on a cellular automaton, which is based on the Creutz cellular automaton for square lattice. Phase diagrams characterizing phase transitions of the model are presented for comparison with those obtained from other calculations. We confirm the existence of the tricritical points over the phase boundary for D/K>0. The values of static critical exponents (α, β, γ and ν) are estimated within the framework of the finite size scaling theory along D/K=-1 and 1 lines. The results are compatible with the universal Ising critical behavior except the points over phase boundary.

scholarly journals Second-Order Nonlinearity in Triangular Lattice Perforated Gold Film due to Surface Plasmas Resonance

2014 ◽  
Vol 2014 ◽  
pp. 1-6
Author(s):  
Renlong Zhou ◽  
Xiaoshuang Chen ◽  
Yingyi Xiao ◽  
Bingju Zhou ◽  
Lingxi Wu ◽  
...  
Keyword(s):  
Fundamental Frequency ◽  
Triangular Lattice ◽  
Gold Film ◽  
Second Harmonic ◽  
Resonance Effect ◽  
Second Order ◽  
Square Lattice ◽  
Frequency Wave ◽  
Surface Plasmas ◽  
Second Order Nonlinearity

We have studied the excitation second-order nonlinearity through a triangular lattice perforated gold film instead of square lattice in many papers. Under the excitation of surface plasmas resonance effect, the second order nonlinearity exists in the noncentrosymmetric split-ring resonators arrays. Reflection of fundamental frequency wave through a triangular lattice perforated gold film is obtained. We also described the second harmonic conversion efficiencies in the second order nonlinear optical process with the spectra. Moreover, the electric field distributions of fundamental frequency above the gold film region are calculated. The light propagation through the holes results in the enhancement of the second order nonlinearity including second harmonic generation as well as the sum (difference) frequency generation.

On the critical behaviour of the two dimensional spin XY model

1982 ◽  
Vol 60 (3) ◽  
pp. 368-372 ◽  
Author(s):  
Jos Rogiers
Keyword(s):  
Critical Point ◽  
Triangular Lattice ◽  
Second Order ◽  
Critical Behaviour ◽  
Transverse Magnetization ◽  
Xy Model ◽  
Two Dimensional ◽  
Exponential Behaviour ◽  
Transformation Methods

Transformation methods are used to analyse the series for the second order fluctuation of the transverse magnetization for the triangular and square lattices. For the triangular lattice some evidence is found for an exponential behaviour of this quantity near the critical point with a tentative estimate for the exponent [Formula: see text].

A basis for the identities of the algebra of second-order matrices over a finite field

1978 ◽  
Vol 17 (1) ◽  
pp. 18-21 ◽  
Author(s):  
Yu. N. Mal'tsev ◽  
E. N. Kuz'min
Keyword(s):  
Finite Field ◽  
Second Order
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