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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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Keywords:
- topological semimetal/
- magnetoresistance/
- Hall effect/
- quantum limit
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正交 辛 幺正 时间反演 √ √ × 自旋旋转 √ × × WL/WAL WL WAL × 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 $-5/8(\gamma), 1/8(\delta)$ $5/8(\gamma), -1/8(\delta)$ 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 -
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