Self consistent study of the quantum phases in a frustrated antiferromagnet on the bilayer honeycomb lattice

27th International Conference on Low Temperature Physics

Arlego, M.^1 ; Lamas, C.A.^1 ; Zhang, Hao^2

IFLP-CONICET, Departamento de Física, Universidad Nacional de la Plata, C.C. 67, La Plata

1900, Argentina^1

Institute for Solid State Physics, University of Tokyo, Chiba, Kashiwa

277-8581, Japan^2

关键词: Exact diagonalization;    Frustrated Heisenberg model;    Ground-state energies;    Honeycomb lattices;    Inter-layer couplings;    Next nearest neighbor interaction;    Numerical calculation;    Series expansion;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/568/4/042019/pdf
DOI  :  10.1088/1742-6596/568/4/042019

来源: IOP

【 摘 要 】

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.