2014/12/08 by M. Arlego, M Arlego, C. A. Lamas +3 · 1 citation
Physics and Astronomy · #Advanced Condensed Matter Physics #Antiferromagnetism #Bilayer #Formalism (music) #Frustration #Heisenberg model #Lattice (music) #Mean field theory #Physics of Superconductivity and Magnetism #Self consistent #Series expansion #Topological Materials and Phenomena #cond-mat.str-el
paper · pdf · doi:10.1088/1742-6596/568/4/042019
published as J. Phys.: Conf. Ser. 568 042019 (2014) · 27th International Conference on Low Temperature Physics
openalex publication_date 2014/12/08 · arxiv created 2015/01/20 · arxiv updated 2015/01/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We study the frustrated Heisenberg model on the bilayer honeycomb lattice. The ground-state energy and spin gap are calculated, using different bosonic representations at mean field level and numerical calculations, to explore different sectors of the phase diagram. In particular we make use of a bond operator formalism and series expansion calculations to study the extent of dimer inter-layer phase. On the other hand we use the Schwinger boson method and exact diagonalization on small systems to analyze the evolution of on-layer phases. In this case we specifically observe a phase that presents a spin gap and short range Neel correlations that survives even in the presence of non-zero next-nearest-neighbor interaction and inter-layer coupling.