Two-dimensional time-reversal-invariant topological insulators via Fredholm theory. (English) Zbl 07259470
Summary: 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.
MSC:
| 47A53 | (Semi-) Fredholm operators; index theories |
| 35Q99 | Partial differential equations of mathematical physics and other areas of application |
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