Ionic defects in ice: A dynamical square lattice model

1995 ◽  
Vol 77 ◽  
pp. 28-33 ◽  
Author(s):  
A Zolotaryuk
Keyword(s):  
Lattice Model ◽  
Square Lattice

scholarly journals General bounded corner states in two-dimensional off-diagonal Aubry-Andre-Harper model with flat bands

2021 ◽  
Author(s):  
Chao Chen ◽  
Lu Qi ◽  
Yan Xing ◽  
Wen-Xue Cui ◽  
Shou Zhang ◽  
...  
Keyword(s):  
Energy Spectrum ◽  
Lattice Model ◽  
Nearest Neighbor ◽  
Energy Gap ◽  
Real Space ◽  
Lattice System ◽  
Square Lattice ◽  
Two Dimensional ◽  
Zero Energy ◽  
Flat Bands

Abstract We investigate the general bounded corner states in a two-dimensional off-diagonal Aubry-Andre-Harper square lattice model supporting flat bands. We show that for certain values of the nearest-neighbor hopping amplitudes, triply degenerate zero-energy flat bands emerge in this lattice system. Moreover, the two-dimensional off-diagonal Aubry-Andre-Harper model splits into isolated fragments and hosts some general bounded corner states, and the absence of the energy gap results in that these general bounded corner states are susceptible to disorder. By adding the intracellular next-nearest-neighbor hoppings, two flat bands with opposite energies split off from the original triply zero-energy flat bands and some robust general bounded corner states appear in real-space energy spectrum. Our work shows a way to obtain robust general bounded corner states in the two-dimensional off-diagonal Aubry-Andre-Harper model by the intracellular next-nearest-neighbor hoppings.

dx2–y2 pairing in the generalized Hubbard square-lattice model

2001 ◽  
Vol 118 (11) ◽  
pp. 589-593 ◽  
Author(s):  
Luis A. Pérez ◽  
Chumin Wang
Keyword(s):  
Lattice Model ◽  
Square Lattice

Nonlinear Collective Proton Dynamics in Ice Crystal: Square Lattice Model for Ionic Defects

1994 ◽  
Vol 73 (21) ◽  
pp. 2871-2874 ◽  
Author(s):  
A. V. Zolotaryuk ◽  
A. V. Savin ◽  
E. N. Economou
Keyword(s):  
Lattice Model ◽  
Square Lattice ◽  
Ice Crystal ◽  
Proton Dynamics

Soliton stability in a square lattice model of an inhomogeneous helimagnet

2016 ◽  
Vol 89 (3) ◽  
Author(s):  
A. Ludvin Felcy ◽  
M. M. Latha ◽  
C. Christal Vasanthi
Keyword(s):  
Lattice Model ◽  
Square Lattice ◽  
Soliton Stability
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