Ground states of a ternary fcc lattice model with nearest- and next-nearest-neighbor interactions

1994 ◽  
Vol 49 (1) ◽  
pp. 1-7 ◽  
Author(s):  
G. Ceder ◽  
G. D. Garbulsky ◽  
D. Avis ◽  
K. Fukuda
Keyword(s):  
Lattice Model ◽  
Nearest Neighbor ◽  
Ground States ◽  
Fcc Lattice

Ground State Analysis on the Fcc Lattice With Four Pair Interactions

1992 ◽  
Vol 291 ◽  
Author(s):  
Gerardo D. Garbulsky ◽  
Patrick D. Tepesch ◽  
Gerbrand Ceder
Keyword(s):  
Ground State ◽  
Nearest Neighbor ◽  
Binary Alloys ◽  
Neighbor Distance ◽  
State Problem ◽  
Fcc Lattice ◽  
Order Of Magnitude ◽  
Nearest Neighbor Distance ◽  
Ground State Structures ◽  
Pair Interactions

ABSTRACTWe have partially solved the ground state problem of binary alloys on the fcc lattice with pair interactions up to the fourth nearest neighbor distance. Our results extend the study presented by Kanamori and Kakehashi [1], releasing the constraint they imposed on the nearest neighbor correlation. The solution we present increases the number of possible ground state structures by an order of magnitude with respect to previous results. We have applied both the polyhedron and the enumeration method. The latter proved more powerful when including interactions beyond the second nearest neighbor distance.

Nearest-neighbor Ising antiferromagnet on the fcc lattice: Evidence for multicritical behavior

1996 ◽  
Vol 53 (5) ◽  
pp. 2345-2351 ◽  
Author(s):  
S. Kämmerer ◽  
B. Dünweg ◽  
K. Binder ◽  
M. d’Onorio de Meo
Keyword(s):  
Nearest Neighbor ◽  
Fcc Lattice ◽  
Ising Antiferromagnet

A lattice model of nearest-neighbor hopping conduction and its application to neutron-doped Ge: Ga

2000 ◽  
Vol 42 (3) ◽  
pp. 441-449 ◽  
Author(s):  
N. A. Poklonskii ◽  
S. Yu. Lopatin ◽  
A. G. Zabrodskii
Keyword(s):  
Lattice Model ◽  
Nearest Neighbor ◽  
Hopping Conduction

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.

Semiclassical intrinsic localized modes in the β-Fermi–Pasta–Ulam lattice model with first- and second-nearest neighbor interactions

2015 ◽  
Vol 29 (30) ◽  
pp. 1550214 ◽  
Author(s):  
Ying-Bo Yao ◽  
De-Jun Li ◽  
Bing Tang
Keyword(s):  
Frequency Band ◽  
Lattice Model ◽  
Nearest Neighbor ◽  
Multiple Scales ◽  
Harmonic Wave ◽  
Resonant Mode ◽  
Wave Frequency ◽  
Wave Number ◽  
Localized Modes ◽  
Intrinsic Localized Modes

We present an analytical study on intrinsic localized modes (ILMs) in the quantum [Formula: see text]-Fermi–Pasta–Ulam lattice model with first- and second-nearest neighbor interactions by means of the semiclassical approach. We quantize the lattice model Hamiltonian by introducing vibron creation and annihilation operators, and retaining only number conserving terms. The coherent state representation is considered as the basic representation of the quantum lattice system. In order to obtain the ILM solutions, we adopt the multiple scales method combined with a quasidiscreteness approximation. It is found that, when the system parameters satisfy [Formula: see text], at the Brillouin zone (BZ) boundary, a bright ILM occurs above the top of the harmonic wave frequency band. While for [Formula: see text], our results indicate that at wave number [Formula: see text] a bright ILM occurs above the top of the harmonic wave frequency band and at the BZ boundary, the system support a dark intrinsic localized resonant mode.

Sign in / Sign up

Export Citation Format

Share Document