Zero modes of tight binding electrons on the honeycomb lattice

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dc.creatorHasegawa, Yasumasa
dc.creatorKonno, Rikio
dc.creatorNakano, Hiroki
dc.creatorKohmoto, Mahito
dc.date2006-04-19
dc.date.accessioned2026-07-07T07:44:57Z
dc.date.available2026-07-07T07:44:57Z
dc.descriptionTight binding electrons on the honeycomb lattice are studied where nearest neighbor hoppings in the three directions are $t_a,t_b$ and $t_c$, respectively. For the isotropic case, namely for $t_a=t_b=t_c$, 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 $t_a,t_b$ and $t_c$ are varied. It is shown that zero modes exist if $||\frac{t_b}{t_a}| -1| \leq |\frac{t_c}{t_a}| \leq ||\frac{t_b}{t_a}|+1|$. The density of states near a zero mode is proportional to $|E|$ but it is propotional to $\sqrt{|E|}$ at the boundary of this condition.
dc.description4 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/cond-mat/0604433
dc.identifierhttp://arxiv.org/abs/cond-mat/0604433
dc.identifierPhys. Rev. B 74, 033413 (2006)
dc.identifierdoi:10.1103/PhysRevB.74.033413
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123381
dc.subjectMesoscale and Nanoscale Physics
dc.titleZero modes of tight binding electrons on the honeycomb lattice
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