Soliton excitations and stability in a square lattice model of ferromagnetic spin system

2015 ◽  
Vol 479 ◽  
pp. 149-158 ◽  
Author(s):  
M.M. Latha ◽  
T. Anitha
Keyword(s):  
Spin System ◽  
Lattice Model ◽  
Square Lattice

scholarly journals Magnetic correlation in the square-lattice spin system (CuBr)Sr2Nb3O10: A neutron diffraction study

2011 ◽  
Vol 84 (6) ◽  
Author(s):  
S. M. Yusuf ◽  
A. K. Bera ◽  
C. Ritter ◽  
Yoshihiro Tsujimoto ◽  
Yoshitami Ajiro ◽  
...  
Keyword(s):  
Neutron Diffraction ◽  
Diffraction Study ◽  
Spin System ◽  
Neutron Diffraction Study ◽  
Square Lattice ◽  
Magnetic Correlation ◽  
Lattice Spin ◽  
Lattice Spin System

scholarly journals EXACT RESULTS OF THE MIXED-SPIN ISING MODEL ON A DECORATED SQUARE LATTICE WITH TWO DIFFERENT DECORATING SPINS OF INTEGER MAGNITUDES

2008 ◽  
Vol 22 (15) ◽  
pp. 2355-2372 ◽  
Author(s):  
LUCIA ČANOVÁ ◽  
JOZEF STREČKA ◽  
MICHAL JAŠČUR
Keyword(s):  
Ising Model ◽  
Spin System ◽  
Critical Behavior ◽  
Ground State ◽  
Analytical Approach ◽  
Spontaneous Order ◽  
Square Lattice ◽  
Exact Results ◽  
Numerical Result ◽  
Mixed Spin

The mixed-spin Ising model on a decorated square lattice with two different decorating spins of integer magnitudes S B = 1 and S C = 2 placed on horizontal and vertical bonds of the lattice, respectively, is examined within an exact analytical approach based on the generalized decoration–iteration mapping transformation. Besides the ground-state analysis, finite-temperature properties of the system are investigated in detail. The most interesting numerical result to emerge from our study relates to a striking critical behavior of the spontaneously ordered "quasi-1D" spin system. It was found that this quite remarkable spontaneous order arises when one sublattice of the decorating spins (either S B or S C ) tends toward their "nonmagnetic" spin state S = 0, and the system becomes disordered only upon further single-ion anisotropy strengthening. In particular, the effect of single-ion anisotropy upon the temperature dependence of the total and sublattice magnetization is investigated.

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
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