Confined states and direction-dependent transmission in graphene quantum wells

Details Confined states and direction-dependent transmission in graphene quantum wells Confined states and direction-dependent transmission in graphene quantum wells

2006-06-21

arxiv.org/abs/cond-mat/0606558v1

Physics

Condensed Matter

Materials Science

Submitted to PRB

Scientific paper

We report the existence of confined massless fermion states in a graphene quantum well (QW) by means of analytical and numerical calculations. These states show an unusual quasi-linear dependence on the momentum parallel to the QW: their number depends on the wavevector and is constrained by electron-hole conversion in the barrier regions. An essential difference with non-relativistic electron states is a mixing between free and confined states at the edges of the free-particle continua, demonstrated by the direction-dependent resonant transmission across a potential well.

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