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Seminars & Lectures

* TITLE

Topological Origin of Zero-Energy Edge States

* SPEAKERS

Name	Affiliation	E-mail
Isao Maruyama	Fukuoka Institute of Technology

* HOST(Applicant)

Name	Affiliation	E-mail
Gentaro Watanabe	APCTP	gentaro_watanabe(at)apctp.org

* DATE / TIME

2013-05-29, 2PM

* ABSTRACT

Edge states in graphene or d-wave super conductivity have attracted much attention in both theoretical and experimental studies. Especially in graphene, edge states strongly depend on Hydrogen atoms terminating graphene boundaries. [1] As a theoretical study, topological origin of edge states was studied for a class of particle-hole symmetric tight-binding models. [2] This model does not include electron-electron interaction, but existence of edge states of this model can be determined by a winding number calculated from a bulk Hamiltonian under the periodic boundary condition. It means that existence of edge states can be predicted without introducing open boundaries. Extending the winding number introduced in the previous study, we study the topological origin for non-interacting tight-binding models with general boundaries including the boundary corresponding to Hydrogen-terminated graphene boundary. In this seminar, we will present a simple picture for existence of zero-energy edge states.

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