Kane-Like Electrons in Type II/III Heterostructures versus Dirac-Like Electrons in Graphene

Details Kane-Like Electrons in Type II/III Heterostructures versus Dirac-Like Electrons in Graphene Kane-Like Electrons in Type II/III Heterostructures versus Dirac-Like Electrons in Graphene

2010-10-23

arxiv.org/abs/1010.4895v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

to be published in Journal of Applied Physics

Scientific paper

The propagation of charge carriers in graphene is compared to that in type II/III heterostructures for which a two-band Kane model is appropriate. In particular, conditions for a quantitative analogy between these two cases are searched for, and found to be quite restrictive. The analysis in this paper shows that the essential property of graphene is not the spinor character of its wavefunction but the linear dispersion relation, which does not hold in finite-gap two-band Kane-type semiconductors. Therefore, Kane-like and Dirac-like charge carriers behave differently, except in zero-bandgap semiconductor superlattices.

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