Dirac points and flat bands in two-dimensional magnonic crystals with honeycomb–kagome structure

Author:

Liang Yu1ORCID,Yun Guohong12ORCID,Yang Hui2ORCID,Bai Narsu2ORCID,Cao Yongjun2

Affiliation:

1. Inner Mongolia Key Lab of Nanoscience and Nanotechnology and School of Physical Science and Technology, Inner Mongolia University 1 , Hohhot 010021, China

2. Modern Physics Research Center, College of Physics and Electronic Information, Inner Mongolia Normal University 2 , Hohhot 010022, China

Abstract

Based on the model of magnonic crystals (MCs) with honeycomb structure, we propose another model of two-dimensional MCs with honeycomb–kagome structure that is a periodic magnetic composite system composed of Fe, Co, or Py ferromagnetic cylindrical scatterers arranged in the EuO matrix as the honeycomb–kagome structure. The band structures of magnons in these systems are studied numerically by using the plane-wave expansion method. The results show that the Dirac points of magnons will be generated at the Brillouin region points if the scatterers are close-packed, that is to say, the edges of cylindrical scatterers are in contact with each other. The frequency of Dirac points can be indirectly adjusted by changing the radius ratio of close-packed cylinders. In addition, in the case of a large difference in the radius between the close-packed cylindrical scatterers, there will be a magnonic flat band in the band structure, which is a phenomenon of so-called compact localized states different from the impurity state in the crystal, and it is formed by the highly interference superposition of spin waves in the honeycomb–kagome structure. The research on the generation and modulation of magnonic Dirac points and flat bands not only expands the research content of condensed matter topological physics but also provides a promising platform for the application of artificial MCs in the fabrication of spin-wave topological devices.

Funder

National Natural Science Foundation of China

Natural Science Foundation of Inner Mongolia Autonomous Region

Basic Research Fund of Inner Mongolia Normal University

Publisher

AIP Publishing

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