Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-04-03
Phys. Rev. B 84, 195422 (2011)
Physics
Condensed Matter
Quantum Gases
14 pages, 6 figures, 1 table, revised version with a new section on experimental possibilities
Scientific paper
10.1103/PhysRevB.84.195422
We provide a novel setup for generalizing the two-dimensional pseudospin S=1/2 Dirac equation, arising in graphene's honeycomb lattice, to general pseudospin-S. We engineer these band structures as a nearest-neighbor hopping Hamiltonian involving stacked triangular lattices. We obtain multi-layered low energy excitations around half-filling described by a two-dimensional Dirac equation of the form H=v_F S\cdot p, where S represents an arbitrary spin-S (integer or half-integer). For integer-S, a flat band appears, whose presence modifies qualitatively the response of the system. Among physical observables, the density of states, the optical conductivity and the peculiarities of Klein tunneling are investigated. We also study Chern numbers as well as the zero-energy Landau level degeneracy. By changing the stacking pattern, the topological properties are altered significantly, with no obvious analogue in multilayer graphene stacks.
Dóra Balázs
Kailasvuori Janik
Moessner Roderich
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