Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5490422 | Journal of Magnetism and Magnetic Materials | 2017 | 7 Pages |
Abstract
In this paper we investigate the antiferromagnetic Heisenberg model on the checkerboard lattice by the O(3) Non-linear Sigma Model (NLSM). The checkerboard lattice is distinguished from the antiferromagnetic square lattice (with coupling constant J) by the presence of diagonal crossing (with coupling constant Jâ²) in half of the sites. This lattice model is the direct analogous of the three-dimensional pyrochlore lattice in a two-dimensional surface. Many effects of the three-dimensional model version, as the Quantum Order-by-Disorder, have been recently described also in the checkerboard lattice. Here we have developed the continuous version of the Heisenberg model on the checkerboard lattice and applied Renormalization Group together other techniques to analyze the both cases JÂ <Â Jâ² and JÂ >Â Jâ². We have therefore determined the effects of the crossing interaction Jâ² on the phase transitions. In addition, skyrmion solutions and their possible influences on these transitions were also considered.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Condensed Matter Physics
Authors
A.R. Moura, A.R. Pereira,