Zero modes of tight-binding electrons on the honeycomb lattice

Yasumasa Hasegawa, Rikio Konno, Hiroki Nakano, and Mahito Kohmoto
Phys. Rev. B 74, 033413 – Published 28 July 2006

Abstract

Tight-binding electrons on the honeycomb lattice are studied where nearest-neighbor hoppings in the three directions are ta, tb, and tc, respectively. For the isotropic case—namely, for ta=tb=tc—two zero modes exist where the energy dispersions at the vanishing points are linear in momentum k. Positions of zero modes move in the momentum space as ta, tb, and tc are varied. It is shown that zero modes exist if tbta1tctatbta+1. The density of states near a zero mode is proportional to E but it is propotional to E at the boundary of this condition

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  • Received 16 April 2006

DOI:https://doi.org/10.1103/PhysRevB.74.033413

©2006 American Physical Society

Authors & Affiliations

Yasumasa Hasegawa1, Rikio Konno2, Hiroki Nakano1, and Mahito Kohmoto3

  • 1Graduate School of Material Science, University of Hyogo, Hyogo 678-1297, Japan
  • 2Kinki University Technical College, 2800 Arima-cho, Kumano-shi, Mie 519-4395, Japan
  • 3Institute for Solid State Physics, University of Tokyo, Chiba, 277-8581, Japan

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Issue

Vol. 74, Iss. 3 — 15 July 2006

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