The anisotropic effect of hexagonal warping on the transport

Mei Mei Wu; Zhi Ming Yu; Hui Pan

doi:10.1016/j.physleta.2018.10.017

The anisotropic effect of hexagonal warping on the transport

Mei Mei Wu
, Zhi Ming Yu
, Hui Pan^*

^*Corresponding author for this work

Singapore University of Technology and Design

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In the presence of hexagonal warping (HW), the surface state of a topological insulator (TI) exhibits anisotropic Fermi surface. In this work, we study the transport properties of a TI junction, focusing on the influence of anisotropic effect of the HW on the scattering. We establish general expressions for calculating the scattering with an arbitrary angle between TI surface and the potential step, and find that the transmission probability and conductance have a strong dependence on the angle, making TI junction a promising platform for studying the geometry control of transport. Remarkably, we find that the HW can induce a triple refraction, which gives rise to an anomalous increase of the transmission probability when varying incident angle. The general expressions here for calculating the scattering can be extended to the systems with trigonally and tetragonally warped Fermi surface.

Original language	English
Pages (from-to)	237-242
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	383
Issue number	2-3
DOIs	https://doi.org/10.1016/j.physleta.2018.10.017
State	Published - 12 Jan 2019

Keywords

Anisotropic effect
Topological insulator
Transport

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10.1016/j.physleta.2018.10.017

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title = "The anisotropic effect of hexagonal warping on the transport",

abstract = "In the presence of hexagonal warping (HW), the surface state of a topological insulator (TI) exhibits anisotropic Fermi surface. In this work, we study the transport properties of a TI junction, focusing on the influence of anisotropic effect of the HW on the scattering. We establish general expressions for calculating the scattering with an arbitrary angle between TI surface and the potential step, and find that the transmission probability and conductance have a strong dependence on the angle, making TI junction a promising platform for studying the geometry control of transport. Remarkably, we find that the HW can induce a triple refraction, which gives rise to an anomalous increase of the transmission probability when varying incident angle. The general expressions here for calculating the scattering can be extended to the systems with trigonally and tetragonally warped Fermi surface.",

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T1 - The anisotropic effect of hexagonal warping on the transport

AU - Wu, Mei Mei

AU - Yu, Zhi Ming

AU - Pan, Hui

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N2 - In the presence of hexagonal warping (HW), the surface state of a topological insulator (TI) exhibits anisotropic Fermi surface. In this work, we study the transport properties of a TI junction, focusing on the influence of anisotropic effect of the HW on the scattering. We establish general expressions for calculating the scattering with an arbitrary angle between TI surface and the potential step, and find that the transmission probability and conductance have a strong dependence on the angle, making TI junction a promising platform for studying the geometry control of transport. Remarkably, we find that the HW can induce a triple refraction, which gives rise to an anomalous increase of the transmission probability when varying incident angle. The general expressions here for calculating the scattering can be extended to the systems with trigonally and tetragonally warped Fermi surface.

AB - In the presence of hexagonal warping (HW), the surface state of a topological insulator (TI) exhibits anisotropic Fermi surface. In this work, we study the transport properties of a TI junction, focusing on the influence of anisotropic effect of the HW on the scattering. We establish general expressions for calculating the scattering with an arbitrary angle between TI surface and the potential step, and find that the transmission probability and conductance have a strong dependence on the angle, making TI junction a promising platform for studying the geometry control of transport. Remarkably, we find that the HW can induce a triple refraction, which gives rise to an anomalous increase of the transmission probability when varying incident angle. The general expressions here for calculating the scattering can be extended to the systems with trigonally and tetragonally warped Fermi surface.

KW - Anisotropic effect

KW - Topological insulator

KW - Transport

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DO - 10.1016/j.physleta.2018.10.017

M3 - 文章

AN - SCOPUS:85055522420

SN - 0375-9601

VL - 383

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 2-3

ER -

The anisotropic effect of hexagonal warping on the transport

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