Topological magnonics in the two-dimensional van der Waals magnet <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msub><mml:mrow><mml:mi>CrI</mml:mi></mml:mrow><mml:mn>3</mml:mn></mml:msub></mml:math>
Esteban Aguilera, Rodrigo Jaeschke‐Ubiergo, N. Vidal-Silva, Luis E. F. Foa Torres, Álvaro S. Núñez
Abstract
We report on the magnon spectrum of Kitaev-Heisenberg magnets and extract the parameters to model a two-dimensional ${\text{CrI}}_{3}$. Our minimal spin Hamiltonian includes a contribution stemming from a Heisenberg, isotropic exchange, and a contribution arising from a Kitaev interaction, anisotropic and frustrated exchange. Our calculations reveal a gap that opens at the $K$ and ${K}^{\ensuremath{'}}$ points and the topological nature of the magnons which lead to the thermal Hall effect. Furthermore, we calculate the magnon spectrum of nanoribbons illustrating the corresponding edge states.
Topics & Concepts
MagnonHamiltonian (control theory)Heisenberg modelPhysicsvan der Waals forceFrustrationCondensed matter physicsTopology (electrical circuits)Quantum mechanicsFerromagnetismCombinatoricsMathematicsMoleculeMathematical optimizationAdvanced Condensed Matter Physics2D Materials and ApplicationsTopological Materials and Phenomena