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Title: Properties of some Hamiltonians describing topologically non-trivial fermionic systems
Authors: Mera, Bruno
Araújo, Miguel
Vieira, Vítor
Keywords: topological phases
Chern number
lattice model
Issue Date: 28-Oct-2015
Publisher: IOP Publishing
Citation: Journal of Physics Condensed Matter 27, 465501 (2015)
Abstract: We introduce a Hamiltonian for fermions on a lattice and prove a theorem regarding its topological properties. We identify the topological criterion as a Z2-topological invariant p(k) (the Pfaffian polynomial). The topological invariant is not only the first Chern number, but also the sign of the Pfaffian polynomial coming from a notion of duality. Such Hamiltonian can describe non-trivial Chern insulators, single band superconductors or multiorbital superconductors. The topological features of these families are completely determined as a consequence of our theorem. Some specific model examples are explicitly worked out, with the computation of different possible topological invariants.
Type: article
Appears in Collections:FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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