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

Autor:	Fonseca, Eli, Shapiro, Jacob, Sheta, Ahmed, Wang, Angela, Yamakawa, Kohtaro
Rok vydání:	2019
Předmět:	Mathematical Physics Condensed Matter - Mesoscale and Nanoscale Physics
Druh dokumentu:	Working Paper
DOI:	10.1007/s11040-020-09342-6
Popis:	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. Comment: 18 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.00910 Zobrazit plný text záznamu View this record from Arxiv