English

A note on topological invariants in condensed matter

Strongly Correlated Electrons 2014-09-05 v2 Mathematical Physics math.MP

Abstract

We discuss some aspects of topological invariants that classify topological states of matter with emphasis on topological insulators. The main aspect addressed is if there are only two topological phases to Bloch Hamiltonian that are time reversal invariant or if there are more phases that has different topological invariants. From a mathematical point of view may exist more topological phases of matter as a subclass of one well established phase.

Keywords

Cite

@article{arxiv.1409.0843,
  title  = {A note on topological invariants in condensed matter},
  author = {J. M. Fonseca and V. L. Carvalho-Santos},
  journal= {arXiv preprint arXiv:1409.0843},
  year   = {2014}
}

Comments

revised version with some misprints corrected

R2 v1 2026-06-22T05:46:53.202Z