Zero modes of tight-binding electrons on the honeycomb lattice
Zero modes of tight-binding electrons on the honeycomb lattice
Tight-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 …