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From graphene and topological insulators to Weyl semimetals

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posted on 2017-09-28, 13:19 authored by Romilly D.Y. Hills, Matej Brada, Yang Liu, Michael P. Pierpoint, Binoy Sobnack, Wai M. Wu, Feodor Kusmartsev
Here we present a short introduction into physics of Dirac materials. In particular we review main physical properties of various two-dimensional crystals such as graphene, sil- icene, germanene and others.We comment on the origin of their buckled two-dimensional shape, and address the issues created by Mermin-Wagner theorem prohibiting the exis- tence of strictly two-dimensional, at crystals. Then we describe main ideas which were leading to the discovery of two and three-dimensional topological insulators and Weyl fermions. We describe some of their outstanding electronic properties which have been originating due to the existence of the Dirac gapless spectrum. We also compare simplest devices made of Dirac materials. Analogies and di erences between Dirac materials and optics are also discussed.

History

School

  • Science

Department

  • Physics

Published in

Symmetry, Spin Dynamics and the Properties of Nanostructures

Pages

277 - 315 (38)

Citation

HILLS, R.D.Y. ...et al., 2015. From graphene and topological insulators to Weyl semimetals. IN: Dugaev, V., Wal, A. and Barnas, J. (eds.) Symmetry, Spin Dynamics and the Properties of Nanostructures: Lecture Notes of the 11th International School on Theoretical Physics. Singapore: World Scientific Publishing, pp. 277-315.

Publisher

© World Scientific Publishing

Version

  • AM (Accepted Manuscript)

Publisher statement

This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/

Publication date

2015

Notes

This paper was presented at the 11th International School on Theoretical Physics Rzeszow, Poland, 1 – 6 September 2014. This work was published in HILLS, R.D.Y. ...et al., 2015. From graphene and topological insulators to Weyl semimetals. IN: Dugaev, V., Wal, A. and Barnas, J. (eds.) Symmetry, Spin Dynamics and the Properties of Nanostructures, pp. 277-315. Copyright @ 2015 with permission from World Scientific Publishing Co. Pte. Ltd.

ISBN

9789814740364

Language

  • en