Ferroelectric square lattice described by the transverse Ising model with long-range interactions

1999 ◽  
Vol 260 (5) ◽  
pp. 411-416 ◽  
Author(s):  
Yong Xin ◽  
Chunlei Wang ◽  
Weilie Zhong ◽  
Peilin Zhang
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Square Lattice ◽  
Transverse Ising Model ◽  
Long Range Interactions

The Ising model with long-range interactions

1965 ◽  
Vol 85 (3) ◽  
pp. 493-507 ◽  
Author(s):  
B J Hiley ◽  
G S Joyce
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Long Range Interactions

scholarly journals Finite-range-scaling analysis of metastability in an Ising model with long-range interactions

1994 ◽  
Vol 49 (4) ◽  
pp. 2711-2725 ◽  
Author(s):  
Bryan M. Gorman ◽  
Per Arne Rikvold ◽  
M. A. Novotny
Keyword(s):  
Ising Model ◽  
Long Range ◽  
Scaling Analysis ◽  
Finite Range ◽  
Long Range Interactions

ISING MODEL WITH STRONGLY CORRELATED RANDOM FIELDS

1988 ◽  
Vol 02 (10) ◽  
pp. 1137-1141 ◽  
Author(s):  
T. HORIGUCHI ◽  
L.L. GONCALVES
Keyword(s):  
Ising Model ◽  
Domain Wall ◽  
Long Range ◽  
Random Fields ◽  
Linear Chain ◽  
Ising Models ◽  
Range Order ◽  
Square Lattice ◽  
Long Range Order ◽  
Strongly Correlated

We investigate the Ising models with strongly correlated random fields, taking the values ±h0 and 0, on the square lattice and on the linear chain. The models present long range order and these results are consistent with the lower critical dimensionality obtained by the domain wall argument.

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