The basic concepts behind topological insulators are briefly reviewed. After discussing what makes some insulators topological and giving a brief history of this fast growing field, recent successes in experiments with these exotic materials are discussed.

Keywords: topological insulator, Dirac fermions, surface state, quantum oscillations PACS: 71.18.+y, 73.20.−r, 73.25.+i, 73.43.−f (all) DOI: 10.3367/UFNe.2017.01.038053 URL: https://ufn.ru/en/articles/2017/4/c/ 000405325500003 2-s2.0-85025129815 2017PhyU...60..385V Citation: Vedeneev S I "Quantum oscillations in three-dimensional topological insulators" Phys. Usp. 60 385–401 (2017) BibTexBibNote ® (generic)BibNote ® (RIS)MedlineRefWorks Received: 22nd, December 2015, revised: 20th, May 2016, accepted: 17th, January 2017 Оригинал: Веденеев С И «Квантовые осцилляции в трёхмерных топологических изоляторах» УФН 187 411–429 (2017); DOI: 10.3367/UFNr.2017.01.038053