Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/16939
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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 superconductivity |
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. |
URI: | http://iopscience.iop.org/article/10.1088/0953-8984/27/46/465501 http://hdl.handle.net/10174/16939 |
Type: | article |
Appears in Collections: | FIS - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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