Work

Zero modes and edge states of the honeycomb lattice

Year: 2007

Type: article

Abstract: The honeycomb lattice in the cylinder geometry with zigzag edges, bearded edges, zigzag and bearded edges (zigzag-bearded), and armchair edges are studied. The tight-binding model with nearest-neighbor hoppings is used. Edge states are obtained analytically for these edges except the armchair edges. It is shown, however, that edge states for the armchair edges exist when the system is anisotropic. These states have not been known previously. We also find strictly localized states, uniformly extended states, and states with macroscopic degeneracy.

Source: Physical Review B

DOI: 10.1103/physrevb.76.205402

Authors: Mahito Kohmoto, Yasumasa Hasegawa

Institutions: The Institute for Solid State Physics, The University of Tokyo, The University of Tokyo, University of Hyogo

Language: English

Topic: Topological Materials and Phenomena

Subfield: Condensed Matter Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1987705333

FWCI: 3.911

Cites: 22

Cited by: 128

Related to: 10