Pierre Delplace, Jian Li, David Carpentier
We define and study a three dimensional lattice model which displays a Weyl
semi-metallic phase. This model consists in coupled layers of quantum
(anomalous) Hall tight-binding Hamiltonians. The Weyl semi-metal appears
between the resulting quantum Hall and normal insulators when hopping
amplitudes are varied. These Weyl fermions are obtained similarly to Dirac
fermions in graphene, without resorting to a real spin but with a lattice
pseudo-spin locked to their momentum. We identify the topological properties of
the various phases, and a direct numerical diagonalization of this model allows
to study the manifestation of the various topological transitions on the chiral
surface states.
View original:
http://arxiv.org/abs/1202.3459
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