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磁场中的三维拓扑绝缘体:手性侧表面态和量子霍尔电导率。

Three-dimensional topological insulator in a magnetic field: chiral side surface states and quantized Hall conductance.

机构信息

Department of Physics and Center of Computational and Theoretical Physics, The University of Hong Kong, Pokfulam Road, Hong Kong.

出版信息

J Phys Condens Matter. 2012 Jan 11;24(1):015004. doi: 10.1088/0953-8984/24/1/015004. Epub 2011 Dec 2.

DOI:10.1088/0953-8984/24/1/015004
PMID:22134101
Abstract

Low energy excitation of surface states of a three-dimensional topological insulator (3DTI) can be described by Dirac fermions. By using a tight-binding model, the transport properties of the surface states in a uniform magnetic field are investigated. It is found that chiral surface states parallel to the magnetic field are responsible for the quantized Hall (QH) conductance (2n + 1)e²/h multiplied by the number of Dirac cones. Due to the two-dimensional nature of the surface states, the robustness of the QH conductance against impurity scattering is determined by the oddness and evenness of the Dirac cone number. An experimental setup for transport measurement is proposed.

摘要

低能量激发三维拓扑绝缘体(3DTI)的表面态可以用狄拉克费米子来描述。通过使用紧束缚模型,研究了在均匀磁场中表面态的输运性质。研究发现,与磁场平行的手性表面态对量子霍尔(QH)电导(2n + 1)e²/h 乘以狄拉克锥数负责。由于表面态的二维性质,QH 电导对杂质散射的鲁棒性由狄拉克锥数的奇偶数决定。提出了一种用于输运测量的实验装置。

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