Density of States and the Ground State Structure in the Ising Model on a Kagome Lattice with Consideration for Next-Nearest-Neighbor Interaction

2018 ◽  
Vol 60 (6) ◽  
pp. 1184-1189 ◽  
Author(s):  
M. A. Magomedov ◽  
A. K. Murtazaev
2018 ◽  
Vol 33 (1) ◽  
pp. 57-66
Author(s):  
M.A. Magomedov ◽  
◽  
A.K. Murtazaev ◽  
L.K. Magomedova ◽  
L.K. Magomedova ◽  
...  

2001 ◽  
Vol 79 (11-12) ◽  
pp. 1543-1549
Author(s):  
L O Manuel ◽  
H A Ceccatto

We study, within the Schwinger-boson approach, the ground-state structure of two Heisenberg anti-ferromagnets on the triangular lattice: the J1 – J2 model, which includes a next-nearest-neighbor coupling J2, and the spatially-anisotropic J1 – J'1 model, in which the nearest-neighbor coupling takes a different value J'1 along one of the bond directions. For both models, the inclusion of one-loop corrections to saddle-point results leads to the prediction of nonmagnetic phases for particular values of the parameters J1/J2 and J'1/J1. In the case of the J1 – J2 model we shed light on the existence of such a disordered quantum state, a question which is controversial in the literature. For the J1 – J'1 model our results nicely agree with series-expansions predictions. PACS No.: 75.10Jm


2013 ◽  
Vol 117 (38) ◽  
pp. 11015-11021 ◽  
Author(s):  
Maria M. Mendes-Pinto ◽  
Elodie Sansiaume ◽  
Hideki Hashimoto ◽  
Andrew A. Pascal ◽  
Andrew Gall ◽  
...  

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