Analytical study of the edge states in the bosonic Haldane model

作者：Pantaleon Pierre A^*; Xian Y

来源：Journal of Physics: Condensed Matter , 2017, 29(29): 295701.

DOI：10.1088/1361-648X/aa75bf

• magnon edge states
• topological magnon insulators
• magnonics
• magnon spintronics

We investigate the properties of magnon edge states in a ferromagnetic honeycomb spin lattice with a Dzialozinskii-Moriya interaction (DMI). We derive analytical expressions for the energy spectra and wavefunctions of the edge states localized on the boundaries. By introducing an external on-site potential at the outermost sites, we show that the bosonic band structure is similar to that of the fermionic graphene. We investigate the region in the momentum space where the bosonic edge states are well defined and we analyze the width of the edge state and their dependence with the DMI strength. Our findings extend the predictions using topological arguments and they allow size-dependent confirmation from possible experiments.

• 出版日期2017-7-26