Evolution of magnetic Dirac bosons in a honeycomb lattice

Abstract

We examine the presence and evolution of magnetic Dirac nodes in the Heisenberg honeycomb lattice. Using linear spin theory, we evaluate the collinear phase diagram as well as the change in the spin dynamics with various exchange interactions. We show that the ferromagnetic structure produces bosonic Dirac and Weyl points due to the competition between superexchange interactions. Furthermore, it is shown that the criteria for magnetic Dirac nodes are coupled to the magnetic structure and not the overall crystal symmetry, where the breaking of inversion symmetry greatly affects the antiferromagnetic configurations. The tunability of the nodal points through variation of the exchange parameters leads to the possibility of controlling Dirac symmetries through an external manipulation of the orbital interactions.

9 pages, 7 figures, Submitted for publication

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• Topological magnon insulator spin excitations in the two-dimensional ferromagnet CrBr${}_3$
• Topological magnetic excitations
• A Perspective on Magnon Spin Nernst Effect in Antiferromagnets
• Spin Waves and Dirac Magnons in a Honeycomb Lattice Zig-zag Antiferromagnet BaNi2(AsO4)2
• Dipolar spin-waves and tunable band gap at the Dirac points in the 2D magnet ErBr3
• Effects of exchange distortions in the magnetic Kagome lattice
• Understanding the magnetic interactions of the zig-zag honeycomb lattice: Application to $\alpha$-RuCl${}_3$