Absence of long-range order in three-dimensional Heisenberg models

1989 ◽  
Vol 40 (7) ◽  
pp. 5282-5284 ◽  
Author(s):  
E. Rastelli ◽  
A. Tassi
Keyword(s):  
Long Range ◽  
Three Dimensional ◽  
Range Order ◽  
Long Range Order ◽  
Heisenberg Models

Long-range order by crucial non-linear effects in Heisenberg models

1991 ◽  
Vol 3 (31) ◽  
pp. 5861-5873 ◽  
Author(s):  
E Rastelli ◽  
S Sedazzari ◽  
A Tassi
Keyword(s):  
Long Range ◽  
Range Order ◽  
Long Range Order ◽  
Non Linear ◽  
Heisenberg Models ◽  
Linear Effects

Absence of long-range order in a three-dimensional geometrically frustrated antiferromagnet

1992 ◽  
Vol 45 (13) ◽  
pp. 7287-7294 ◽  
Author(s):  
J. N. Reimers
Keyword(s):  
Long Range ◽  
Three Dimensional ◽  
Range Order ◽  
Long Range Order ◽  
Geometrically Frustrated

Long-range order produced by the interaction between spin waves in classical fcc Heisenberg models

1993 ◽  
Vol 48 (22) ◽  
pp. 16514-16523 ◽  
Author(s):  
Marko T. Heinilä ◽  
Aarne S. Oja
Keyword(s):  
Long Range ◽  
Spin Waves ◽  
Range Order ◽  
Long Range Order ◽  
Heisenberg Models

Transition to long-range order in the three-dimensional random-field Ising model

1991 ◽  
Vol 66 (25) ◽  
pp. 3281-3284 ◽  
Author(s):  
J. P. Hill ◽  
T. R. Thurston ◽  
R. W. Erwin ◽  
M. J. Ramstad ◽  
R. J. Birgeneau
Keyword(s):  
Ising Model ◽  
Random Field ◽  
Long Range ◽  
Three Dimensional ◽  
Range Order ◽  
Long Range Order ◽  
Random Field Ising Model

Mixed-morphology and mixed-orientation block copolymer bilayers

RSC Advances ◽  
2014 ◽  
Vol 4 (72) ◽  
pp. 38412-38417 ◽  
Author(s):  
Nicolás A. García ◽  
Raleigh L. Davis ◽  
So Youn Kim ◽  
Paul M. Chaikin ◽  
Richard A. Register ◽  
...  
Keyword(s):  
Block Copolymer ◽  
Long Range ◽  
Three Dimensional ◽  
Range Order ◽  
Long Range Order

Three-dimensional block copolymer structures with long-range order and mixed symmetries.

The existence of energy gaps for three-dimensional systems without long-range order

1981 ◽  
Vol 14 (5) ◽  
pp. L109-L112 ◽  
Author(s):  
A Nenciu ◽  
G Nenciu
Keyword(s):  
Long Range ◽  
Three Dimensional ◽  
Range Order ◽  
Long Range Order ◽  
Energy Gaps

Evaluation of paracrystalline distortions from line broadening

1970 ◽  
Vol 26 (2) ◽  
pp. 272-277 ◽  
Author(s):  
W. Vogel ◽  
R. Hosemann
Keyword(s):  
Long Range ◽  
Three Dimensional ◽  
Quantitative Information ◽  
Cylindrical Symmetry ◽  
Range Order ◽  
Long Range Order ◽  
Line Broadening ◽  
Dimensional Lattice ◽  
Lattice Cell ◽  
Point Lattice

If the units building up a three-dimensional lattice have different sizes and/or shapes and are randomly distributed the long-range order of the point lattice is destroyed. The integral widths δb of the Debye–Scherrer lines increase quadratically with sin θ for a given set of netplanes. Studying the slopes for the reflexions h00, hh0 and hhh one obtains quantitative information on the paracrystalline distortions in the lattice. In the present paper these slopes are calculated for p.c., b.c.c. and f.c.c. lattices and identical coordination statistics with cylindrical symmetry and two fluctuation parameters α,β. The slopes can be conveniently normalized to the fluctuation Δxa of a lattice cell. In a logarithmic Δxa versus β 2/(α 2 + β 2) plot of all these types of paracrystalline lattices, observed Δxa values of manganese-rich spinels are fitted as well as possible. A body centred paracrystalline lattice is observed with α/β = 0.7 ± 0.1. This example may illustrate how to analyse reasonably paracrystalline lattices.

scholarly journals Three-dimensional spin systems without long-range order

1986 ◽  
Vol 265 (1) ◽  
pp. 161-186 ◽  
Author(s):  
Francisco C. Alcaraz ◽  
Laurence Jacobs ◽  
Robert Savit
Keyword(s):  
Long Range ◽  
Three Dimensional ◽  
Spin Systems ◽  
Range Order ◽  
Long Range Order

Long-Range Order in Two- and Three-Dimensional Smectic-BLiquid-Crystal Films

1979 ◽  
Vol 43 (10) ◽  
pp. 701-704 ◽  
Author(s):  
D. E. Moncton ◽  
R. Pindak
Keyword(s):  
Long Range ◽  
Three Dimensional ◽  
Range Order ◽  
Long Range Order ◽  
Crystal Films
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