Analytical study of the edge states in the bosonic Haldane model. (13th June 2017)

• Record Type: Journal Article
• Authors: Pantaleón, Pierre A; Xian, Y
• Is Part Of: Journal of physics. Volume 29:Number 29(2017)
• Publication Date: 2017-06-13
• Subjects: magnon edge states -- topological magnon insulators -- magnonics -- magnon spintronics; Condensed matter -- Periodicals; Matière condensée -- Périodiques; Vaste stoffen; Vloeistoffen; Natuurkunde; Electronic journals; Computer network resources; 530.4105
• DOI: 10.1088/1361-648X/aa75bf
• Languages: English
• ISSNs: 0953-8984

Abstract

Abstract: 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.