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Abstract

Topological matters include topological insulator, topological semimetal and topological superconductor. The topological semimetals are three-dimensional topological states of matter with gapless electronic excitations. They are simply divided into Weyl, Dirac, and nodal-line semimetals according to the touch type of the conduction band and the valence band. Their characteristic electronic structures lead to topologically protected surface states at certain surfaces, corresponding to the novel transport properties. We review our recent works on quantum transport mainly in topological semimetals. The main theories describing the transport behavior of topological matters are given in different magnetic regions.

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Authors and contacts

Corresponding author:Lu Hai-Zhou,luhz@sustech.edu.cn

Funds:Project supported by the National Key R&D Program of China (Grant No. 2016YFA0301700), the National Natural Science Foundation of China (Grant No. 11925402), the Natural Science Foundation of Guangdong Province, China (Grant No. 2016ZT06D348), and the Science and Technology Innovation Commission of Shenzhen, China (Grant Nos. ZDSYS20170303165926217, JCYJ20170412152620376)

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Cited By

DownLoad: Full-Size Img PowerPoint

	正交	辛	幺正
时间反演	√	√	×
自旋旋转	√	×	×
WL/WAL	WL	WAL	×

DownLoad: CSV

系统	电子载流子	空穴载流子
2D抛物线	–1/2	1/2
3D抛物线	–5/8	5/8
2D线性	0	0
3D线性	–1/8	1/8
磁场$B_z$中的节线	$-5/8(\alpha), 5/8(\beta)$	$5/8(\alpha), -5/8(\beta)$
磁场$B_{/\!/}$中的节线	$-5/8(\gamma), 1/8(\delta)$	$5/8(\gamma), -1/8(\delta)$

DownLoad: CSV

文献	$\phi_{\rm{exp}}$	$\phi_{\rm{Weyl}}$	$\phi_{\rm{Dirac}}$
[50]	0.06 — 0.08	–0.94 — –0.92	–5/8
[51]	0.11 — 0.38	–0.89 — –0.62	–5/8
[54]	0.04	–0.96	–5/8

DownLoad: CSV

	贝里相位	最大/ 最小	电子	空穴
$\alpha$	0	最大	$ -1/2+0-1/8 = -5/8 $	+5/8
$\beta$	0	最小	$-1/2+0+1/8 = -3/8 \leftrightarrow 5/8$	–5/8
$\gamma$	0	最大	$ -1/2+0 - 1/8 = - 5/8 $	+5/8
δ	π	最小	$-1/2+\pi/2\pi+1/8 = 1/8$	–1/8

DownLoad: CSV

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Vol. 70, Issue 2 - 2021-01-20

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