The spin-spin correlation functions and susceptibility amplitudes for the two-dimensional Ising model; triangular lattice

1976 ◽  
Vol 57 (1) ◽  
pp. 1-4 ◽  
Author(s):  
H.G. Vaidya
Keyword(s):  
Ising Model ◽  
Triangular Lattice ◽  
Correlation Functions ◽  
Spin Correlation ◽  
Two Dimensional

scholarly journals n-spin correlation functions for the two-dimensional Ising model

1978 ◽  
Vol 17 (3) ◽  
pp. 1464-1465 ◽  
Author(s):  
John L. Richardson ◽  
Myron Bander
Keyword(s):  
Ising Model ◽  
Correlation Functions ◽  
Spin Correlation ◽  
Two Dimensional

Spin-spin correlation functions for the two-dimensional Ising model: Exact theory in the scaling region

1976 ◽  
Vol 13 (1) ◽  
pp. 316-374 ◽  
Author(s):  
Tai Tsun Wu ◽  
Barry M. McCoy ◽  
Craig A. Tracy ◽  
Eytan Barouch
Keyword(s):  
Ising Model ◽  
Correlation Functions ◽  
Spin Correlation ◽  
Two Dimensional ◽  
Exact Theory ◽  
Scaling Region

Some exact results for the anisotropic triangular lattice

1969 ◽  
Vol 47 (22) ◽  
pp. 2445-2448 ◽  
Author(s):  
R. W. Gibberd
Keyword(s):  
Ising Model ◽  
Partition Function ◽  
Triangular Lattice ◽  
Correlation Functions ◽  
Spin Correlation ◽  
Exact Results ◽  
Combinatorial Approach ◽  
Ising Lattice ◽  
Simple Derivation ◽  
One Dimensional

The combinatorial approach to the triangular Ising model is shown to be considerably simplified at a given temperature TD. This enables the partition function and spin-correlation functions to be evaluated without the use of pfaffians, thus providing a simple derivation of a few of the results obtained previously by Stephenson. We confirm the results of Stephenson, that at the temperature TD, the correlation functions have the same structure as the correlations of a one-dimensional Ising lattice. The only new result is a general expression for some of the spin–spin correlation functions when the spins do not lie on the axes of the lattice.

Spin–Spin Correlations in Site Disordered ±J 2D Ising Spin Glasses

1998 ◽  
Vol 09 (05) ◽  
pp. 685-691
Author(s):  
B. Kawecka-Magiera ◽  
A. Z. Maksymowicz ◽  
M. Kowal ◽  
K. Kulakowski
Keyword(s):  
Correlation Functions ◽  
Spin Glasses ◽  
Interatomic Distance ◽  
Spin Correlation ◽  
Two Dimensional ◽  
Spin Correlations ◽  
Ising Spin ◽  
Bond System ◽  
Random Site

Spin–spin correlation functions <S(0)S(R)> as dependent on interatomic distance R are studied in the random-site two-dimensional Ising S=1/2 ±J system. Oscillations of the correlation functions are found, which is not a case in the random-bond system.

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