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Current distribution and group velocities for electronic states onα-T3lattice ribbons in a magnetic field
D O Oriekhov1,2, Sergey Voronov2
1Instituut-Lorentz, Universiteit Leiden, PO Box 9506, 2300 RA Leiden, The Netherlands.
Abstract:
We study the group velocities of electronic states and distributions of currents inα-T3lattice ribbons under a uniform perpendicular magnetic field. Using the effective low-energy model we analyze all possible simple configurations of lattice termination with zigzag and armchair boundaries. We show that the edge current depends on the type of zigzag termination, and can be zero or finite near the edge. Also similar dependence is observed in the case of armchair termination and is related to the size of the ribbon. The nonzero current flowing along the edge can be used a signature of formation of propagating edge states. In addition, we show the qualitative difference in the distribution of the edge current between the case ofα= 1 (dice model) and other values of model parameterα≠ 1 for armchair-terminated ribbons.
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