Stability and dynamical properties of a double-layer Wigner crystal in two dimensions

1996 ◽  
Vol 361-362 ◽  
pp. 163-166 ◽  
Author(s):  
G. Goldoni ◽  
V. Schweigert ◽  
F.M. Peeters
Keyword(s):  
Double Layer ◽  
Two Dimensions ◽  
Wigner Crystal ◽  
Dynamical Properties

Hartree-Fock description of a Wigner crystal in two dimensions

2020 ◽  
Vol 119 ◽  
pp. 114016
Author(s):  
V. Kagalovsky ◽  
S.V. Kravchenko ◽  
D. Nemirovsky
Keyword(s):  
Two Dimensions ◽  
Wigner Crystal ◽  
Hartree Fock

scholarly journals Dynamical Properties of the Pinned Wigner Crystal

1998 ◽  
Vol 80 (17) ◽  
pp. 3827-3830 ◽  
Author(s):  
R. Chitra ◽  
T. Giamarchi ◽  
P. Le Doussal
Keyword(s):  
Wigner Crystal ◽  
Dynamical Properties

scholarly journals New Quantum Phase between the Fermi Glass and the Wigner Crystal in Two Dimensions

1999 ◽  
Vol 83 (9) ◽  
pp. 1826-1829 ◽  
Author(s):  
Giuliano Benenti ◽  
Xavier Waintal ◽  
Jean-Louis Pichard
Keyword(s):  
Two Dimensions ◽  
Quantum Phase ◽  
Wigner Crystal

VIBRATIONAL PROPERTIES OF TWO ISOLATED STEPS: A THEORETICAL MODEL

2002 ◽  
Vol 09 (03n04) ◽  
pp. 1387-1394 ◽  
Author(s):  
O. RAFIL ◽  
A. LALAOUI ◽  
M. TAMINE ◽  
A. KHELIFI
Keyword(s):  
Dynamical Problem ◽  
Two Dimensions ◽  
Vibrational Properties ◽  
Surface Boundary ◽  
Atomic Step ◽  
Matching Method ◽  
Surface Steps ◽  
Extended Surface ◽  
Translation Symmetry ◽  
Dynamical Properties

We investigate the dynamical properties of two isolated steps on the surface. We present the solution of the full dynamical problem arising from the absence of translation symmetry in two dimensions due to extended surface steps on the surface boundary of an insulating substrate. The calculations concern in particular the dynamics of localized modes of an atomic step on the surface of a cubic lattice. The theoretical approach determines the vibrational field in both steps. The matching method, which constitutes a powerful formalism for determining the vibrational properties of such disordered surfaces, is used. The model presented in this study consists of two monatomic steps as the interface between three coupled semi-infinite and single semi-infinite atomic layers. The dynamical properties of the perfect waveguides are presented and calculated numerically. The breakdown of translational symmetry perpendicular to the step edges gives rise to several Raleigh-like branches localized in the neighborhood of the steps. Typical dispersion curves for these modes along the steps are given with their polarization.

Disordered elastic systems and electronic crystals

2002 ◽  
Vol 12 (9) ◽  
pp. 277-282
Author(s):  
T. Giamarchi ◽  
R. Chitra ◽  
P. Le Doussal
Keyword(s):  
Glass Phase ◽  
Good Description ◽  
Two Dimensions ◽  
Wigner Crystal ◽  
Experimental Systems ◽  
Elastic Systems ◽  
Effect Of Disorder ◽  
Bragg Glass ◽  
The One ◽  
Physical Consequences

Electrons can crystallize to form a Wigner crystal. This crystallization is particularly effective in two dimensions. The effect of disorder on such electronic crystals can be taken into account using the same techniques and concepts, in particular the notion of Bragg glass phase, than the one developed to tackle classical disordered elastic systems. We analyze the properties of such a disordered Wigner crystal and discuss the physical consequences, both for the thermodynamics (compressibility etc.) and for the transport properties. This approach allows a good description of the optical conductivity and in particular to obtain correctly the density and field dependence of the pinning frequency. Relevance to experimental systems is discussed.

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