Energetics of point defects in the two-dimensional Wigner crystal

1991 ◽  
Vol 43 (1) ◽  
pp. 623-629 ◽  
Author(s):  
Eric Cockayne ◽  
Veit Elser
Keyword(s):  
Point Defects ◽  
Wigner Crystal ◽  
Two Dimensional

scholarly journals Point Defects in Two-Dimensional γ-Phosphorus Carbide

2020 ◽  
pp. 620-626
Author(s):  
Andrey A. Kistanov ◽  
Vladimir R. Nikitenko ◽  
Oleg V. Prezhdo
Keyword(s):  
Point Defects ◽  
Two Dimensional

Effect of quenched disorder on a two-dimensional classical Wigner crystal

1992 ◽  
Vol 263 (1-3) ◽  
pp. 680-685 ◽  
Author(s):  
Alexander B. Dzyubenko ◽  
Yuri E. Lozovik
Keyword(s):  
Wigner Crystal ◽  
Quenched Disorder ◽  
Two Dimensional

scholarly journals Surface, size and topological effects for some nematic equilibria on rectangular domains

2020 ◽  
Vol 25 (5) ◽  
pp. 1101-1123 ◽  
Author(s):  
Lidong Fang ◽  
Apala Majumdar ◽  
Lei Zhang
Keyword(s):  
Aspect Ratio ◽  
Point Defects ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Bifurcation Diagrams ◽  
Variable Formula ◽  
Limiting Profile ◽  
Switching Dynamics ◽  
Line Defects ◽  
Carry Over

We study nematic equilibria on rectangular domains, in a reduced two-dimensional Landau–de Gennes framework. These reduced equilibria carry over to the three-dimensional framework at a special temperature. There is one essential model variable, [Formula: see text], which is a geometry-dependent and material-dependent variable. We compute the limiting profiles exactly in two distinguished limits: the [Formula: see text] 0 limit relevant for macroscopic domains and the [Formula: see text] limit relevant for nanoscale domains. The limiting profile has line defects near the shorter edges in the [Formula: see text] limit, whereas we observe fractional point defects in the [Formula: see text] 0 limit. The analytical studies are complemented by some bifurcation diagrams for these reduced equilibria as a function of [Formula: see text] and the rectangular aspect ratio. We also introduce the concept of ‘non-trivial’ topologies and study the relaxation of non-trivial topologies to trivial topologies mediated via point and line defects, with potential consequences for non-equilibrium phenomena and switching dynamics.

scholarly journals Point defects in two-dimensional colloidal crystals: simulation vs. elasticity theory

Soft Matter ◽  
2009 ◽  
Vol 5 (3) ◽  
pp. 646-659 ◽  
Author(s):  
Wolfgang Lechner ◽  
Christoph Dellago
Keyword(s):  
Elasticity Theory ◽  
Point Defects ◽  
Colloidal Crystals ◽  
Two Dimensional

scholarly journals From Point Defects in Graphene to Two-Dimensional Amorphous Carbon

2011 ◽  
Vol 106 (10) ◽  
Author(s):  
J. Kotakoski ◽  
A. V. Krasheninnikov ◽  
U. Kaiser ◽  
J. C. Meyer
Keyword(s):  
Amorphous Carbon ◽  
Point Defects ◽  
Two Dimensional

Edge reconstruction and edge melting of the two-dimensional Wigner crystal in a strong magnetic field

1992 ◽  
Vol 69 (5) ◽  
pp. 816-819 ◽  
Author(s):  
H. A. Fertig ◽  
R. Côté ◽  
A. H. MacDonald ◽  
S. Das Sarma
Keyword(s):  
Magnetic Field ◽  
Strong Magnetic Field ◽  
Wigner Crystal ◽  
Two Dimensional ◽  
Edge Reconstruction

Phonon scattering against point defects in the quantal 2D Wigner crystal

2001 ◽  
Vol 117 (9) ◽  
pp. 561-564
Author(s):  
M. Polini ◽  
G. Sica ◽  
M.P. Tosi
Keyword(s):  
Point Defects ◽  
Phonon Scattering ◽  
Wigner Crystal

scholarly journals Displacement fields of point defects in two-dimensional colloidal crystals

2008 ◽  
Vol 20 (40) ◽  
pp. 404202 ◽  
Author(s):  
Wolfgang Lechner ◽  
Elisabeth Schöll-Paschinger ◽  
Christoph Dellago
Keyword(s):  
Point Defects ◽  
Colloidal Crystals ◽  
Two Dimensional ◽  
Displacement Fields
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