Analytical study of the edge states in the bosonic Haldane model

Autor:	Pantaleón, Pierre A., Xian, Y.
Rok vydání:	2017
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics Quantum Physics
Druh dokumentu:	Working Paper
DOI:	10.1088/1361-648X/aa75bf
Popis:	We investigate the properties of magnon edge states in a ferromagnetic honeycomb spin lattice with a Dzyaloshinskii-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 DMI strength. Our findings extend the predictions using topological arguments and they allow size-dependent confirmation from possible experiments Comment: 7 pages, 4 figures (Minor corrections added)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1704.07746 Zobrazit plný text záznamu View this record from Arxiv