Two-Dimensional Time-Reversal-Invariant Topological Insulators via Fredholm Theory

Eli Fonseca, Jacob Shapiro, Ahmed Sheta, Angela Wang, Kohtaro Yamakawa

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We study spinful non-interacting electrons moving in two-dimensional materials which exhibit a spectral gap about the Fermi energy as well as time-reversal invariance. Using Fredholm theory we revisit the (known) bulk topological invariant, define a new one for the edge, and show their equivalence (the bulk-edge correspondence) via homotopy.

Original languageEnglish (US)
Article number29
JournalMathematical Physics Analysis and Geometry
Issue number3
StatePublished - Sep 1 2020
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Geometry and Topology


  • Fredholm theory
  • Time-reversal
  • Topological insulators
  • Z invariants


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