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Crystals 2017, 7(1), 29; doi:10.3390/cryst7010029

Dirac Landau Level Spectroscopy in Pb1−xSnxSe and Pb1−xSnxTe across the Topological Phase Transition: A Review

1
Laboratoire Pierre Aigrain, Ecole Normale Supérieure, Centre National de la Rechercher Scientifique, Paris Sciences et Lettres Research University, Université Pierre et Marie Curie, Université Denis Diderot, 24 rue Lhomond, 75005 Paris, France
2
Département de Physique, Ecole Normale Supérieure Centre National de la Rechercher Scientifique, Paris Sciences et Lettres Research University, 24 rue Lhomond, 75005 Paris, France
3
Institut für Halbleiter und Festkörperphysik, Johannes Kepler Universität, Altenberger strasse 69, 4040 Linz, Austria
4
National Technical University “Kharkiv Polytechnic Institute”, Frunze Str. 21, 61002 Kharkiv, Ukraine
*
Author to whom correspondence should be addressed.
Academic Editor: Satoshi Sasaki
Received: 15 December 2016 / Revised: 7 January 2017 / Accepted: 7 January 2017 / Published: 20 January 2017
(This article belongs to the Special Issue Topological Crystalline Insulators: Current Progress and Prospects)
View Full-Text   |   Download PDF [2347 KB, uploaded 20 January 2017]   |  

Abstract

Topological crystalline insulators (TCIs) are topological materials that have Dirac surface states occurring at crystalline symmetric points in the Brillouin zone. This topological state has been experimentally shown to occur in the lead–tin salts Pb1−xSnxSe and Pb1−xSnxTe. More recent works also took interest in studying the topological phase transition from trivial to non-trivial topology that occurs in such materials as a function of increasing Sn content. A peculiar property of these materials is the fact that their bulk bands disperse following a massive Dirac dispersion that is linear at low energies above the energy gap. This makes Pb1−xSnxSe and Pb1−xSnxTe ideal platforms to simultaneously study 3D and 2D Dirac physics. In this review, we will go over infrared magneto-optical studies of the Landau level dispersion of Pb1−xSnxSe and Pb1−xSnxTe for both the bulk and surface bands and summarize work that has been done on this matter. We will review recent work on probing the topological phase transition in TCI. We will finally present our views on prospects and open questions that have yet to be addressed in magneto-optical spectroscopy studies on Pb1-xSnxSe and Pb1−xSnxTe. View Full-Text
Keywords: landau levels; topological crystalline insulators; magneto-optics; IV–VI semiconductors landau levels; topological crystalline insulators; magneto-optics; IV–VI semiconductors
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Phuphachong, T.; Assaf, B.A.; Volobuev, V.V.; Bauer, G.; Springholz, G.; de Vaulchier, L.-A.; Guldner, Y. Dirac Landau Level Spectroscopy in Pb1−xSnxSe and Pb1−xSnxTe across the Topological Phase Transition: A Review. Crystals 2017, 7, 29.

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