Emergence of topological semimetals in gap closing in semiconductors without inversion symmetry

Science Advances
Shuichi MurakamiTakashi Miyake

Abstract

A band gap for electronic states in crystals governs various properties of solids, such as transport, optical, and magnetic properties. Its estimation and control have been an important issue in solid-state physics. The band gap can be controlled externally by various parameters, such as pressure, atomic compositions, and external field. Sometimes, the gap even collapses by tuning some parameter. In the field of topological insulators, this closing of the gap at a time-reversal invariant momentum indicates a band inversion, that is, it leads to a topological phase transition from a normal insulator to a topological insulator. We show, through an exhaustive study on possible space groups, that the gap closing in inversion-asymmetric crystals is universal, in the sense that the gap closing always leads either to a Weyl semimetal or to a nodal-line semimetal. We consider three-dimensional spinful systems with time-reversal symmetry. The space group of the system and the wave vector at the gap closing uniquely determine which possibility occurs and where the gap-closing points or lines lie in the wave vector space after the closing of the gap. In particular, we show that an insulator-to-insulator transition never happens, which is ...Continue Reading

References

Mar 16, 2007·Physical Review Letters·Liang FuE J Mele
Jun 21, 2011·Nature Materials·K IshizakaY Tokura
Nov 24, 2011·Physical Review Letters·Gang XuZhong Fang
Mar 12, 2013·Physical Review Letters·Bohm-Jung YangNaoto Nagaosa
Jun 6, 2015·Physical Review Letters·Motoaki HirayamaTakashi Miyake
Jun 13, 2015·Nature Communications·Shin-Ming HuangM Zahid Hasan
Jul 22, 2015·Physical Review Letters·Tomáš RauchIngrid Mertig
Jul 26, 2015·Physical Review Letters·Kieran MullenDaniel T Glatzhofer
Aug 1, 2015·Physical Review Letters·Youngkuk KimAndrew M Rappe
Oct 2, 2015·Nano Letters·Yuanping ChenShengbai Zhang
Nov 27, 2015·Nature·Alexey A SoluyanovB Andrei Bernevig
Jan 21, 2016·Proceedings of the National Academy of Sciences of the United States of America·Shin-Ming HuangM Zahid Hasan
Jan 12, 2017·Nature Communications·Motoaki HirayamaShuichi Murakami

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Citations

Feb 24, 2018·Nature Communications·Hiroshi KageyamaKenneth R Poeppelmeier
Dec 12, 2018·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Pierre A PantaleónY Xian
Dec 6, 2019·Proceedings of the National Academy of Sciences of the United States of America·Toshiya IdeueYoshihiro Iwasa
Sep 22, 2018·Physical Review Letters·Junyeong AhnBohm-Jung Yang
May 14, 2020·Proceedings of the National Academy of Sciences of the United States of America·Nan ZhangChanggan Zeng
Sep 21, 2017·Proceedings of the National Academy of Sciences of the United States of America·Simin NieShou-Cheng Zhang

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