ANNNI model descriptions on structural energetics for a wide variety of metallic polytypes composed of close-packed layers

MRS Advances ◽  
2021 ◽  
Author(s):  
Koji Moriguchi ◽  
Taku Miyakawa ◽  
Shinya Ogane ◽  
Riku Sato ◽  
Kazumasa Tsutsui ◽  
...  
Keyword(s):  
Annni Model

FRUSTRATED TRANSVERSE ISING MODELS: A CLASS OF FRUSTRATED QUANTUM SYSTEMS

1992 ◽  
Vol 06 (14) ◽  
pp. 2439-2469 ◽  
Author(s):  
P. SEN ◽  
B. K. CHAKRABARTI
Keyword(s):  
Excited States ◽  
Transverse Field ◽  
Ising Models ◽  
Quantum Systems ◽  
Nearest Neighbour ◽  
Competing Interactions ◽  
Annni Model ◽  
Kirkpatrick Model ◽  
Transverse Fields ◽  
Exact Diagonalisation

The analytical and numerical (Monte Carlo and exact diagonalisation) estimates of phase diagrams of frustrated Ising models in transverse fields are discussed here. Specifically we discuss the Sherrington–Kirkpatrick model in transverse field and the Axial Next-Nearest Neighbour Ising (ANNNI) model in transverse field. The effects of quantum fluctuations (induced by the transverse field) on the ground and excited states of such systems with competing interactions (frustration) are also discussed. The results are compared to those available for other frustrated quantum systems.

Total Energy Differences Between Silicon Carbide Polytypes and their Implications for Crystal Growth

1997 ◽  
Vol 492 ◽  
Author(s):  
Sukit Llmpijumnong ◽  
Walter R. L. Lambrecht
Keyword(s):  
Silicon Carbide ◽  
Crystal Growth ◽  
Epitaxial Growth ◽  
Size Effects ◽  
Nearest Neighbor ◽  
Orbital Method ◽  
Full Potential ◽  
Neighbor Interaction ◽  
Island Size ◽  
Annni Model

ABSTRACTThe energy differences between various SiC polytypes are calculated using the full-potential linear muffin-tin orbital method and analyzed in terms of the anisotropie next nearest neighbor interaction (ANNNI) model. The fact that J1 + 2J2 < 0 with J1 > 0 implies that twin boundaries in otherwise cubic material are favorable unless twins occur as nearest neighbor layers. Contrary to some other recent calculations we find J1 > |J2|. We discuss the consequences of this for stabilization of cubic SiC in epitaxial growth, including considerations of the island size effects.

An iterative scheme for the 2D ANNNI model

1987 ◽  
Vol 20 (2) ◽  
pp. 471-480 ◽  
Author(s):  
M A S Saqi ◽  
D S McKenzie
Keyword(s):  
Iterative Scheme ◽  
Annni Model

scholarly journals Floating phase in a 2D ANNNI model

2007 ◽  
Vol 40 (24) ◽  
pp. 6251-6265 ◽  
Author(s):  
Anjan Kumar Chandra ◽  
Subinay Dasgupta
Keyword(s):  
Annni Model ◽  
Floating Phase
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