Effective Hamiltonian for electron waves in artificial graphene: A first-principles derivation
Silveirinha, M. G.
Physical Review B - Condensed Matter and Materials Physics Vol. 91, Nº 045416, pp. 1 - 16, January, 2015.
ISSN (print): 1098-0121
Scimago Journal Ranking: 2,38 (in 2015)
Digital Object Identifier: 10.1103/PhysRevB.91.045416
We propose a first-principles effective medium formalism to study the propagation of electron waves in semiconductor heterostructures with a zero band gap. Our theory confirms that near the K point the dynamics of a two-dimensional electron gas modulated by an external electrostatic potential with honeycomb symmetry
is described by the same pseudospinor formalism and Dirac massless equation as a graphene monolayer.
Furthermore, we highlight that even though other superlattices based on semiconductors with a zincblende-type structure can have a zero band-gap and a linear energy-momentum dispersion, the corresponding effective medium Hamiltonian is rather different from that of graphene, and can be based on a single-component wave function.