Ground State Structure of Triangular Lattice Gas Model with up to 3rd Neighbor Interactions

1978 ◽  
Vol 44 (3) ◽  
pp. 718-727 ◽  
Author(s):  
Makoto Kaburagi ◽  
Junjiro Kanamori
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 ◽  
...  

2002 ◽  
Vol 17 (25) ◽  
pp. 3681-3688 ◽  
Author(s):  
LISA FREYHULT

We compute the effective potential of SU(2) Yang–Mills theory using the background field method and the Faddeev–Niemi decomposition of the gauge fields. In particular, we find that the potential will depend on the values of two scalar fields in the decomposition and that its structure will give rise to a symmetry breaking.


2012 ◽  
Vol 116 (47) ◽  
pp. 11651-11655 ◽  
Author(s):  
Xin Liu ◽  
Lin Li ◽  
Bo Liu ◽  
Dongqi Wang ◽  
Yuliang Zhao ◽  
...  

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