Properties of some Hamiltonians describing topologically non-trivial fermionic systems

B. Mera, M. A.N. Araujo, V. R. Vieira

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Article number465501
JournalJournal of Physics Condensed Matter
Issue number46
Publication statusPublished - 2015 Oct 28
Externally publishedYes


  • Chern number
  • lattice model
  • topological criterion
  • topological phases

ASJC Scopus subject areas

  • Materials Science(all)
  • Condensed Matter Physics


Dive into the research topics of 'Properties of some Hamiltonians describing topologically non-trivial fermionic systems'. Together they form a unique fingerprint.

Cite this