Edge states of a three-dimensional topological insulator

被引：24

作者：

Deb, Oindrila ^{[1
]}

Soori, Abhiram ^{[2
]}

Sen, Diptiman ^{[1
]}

机构：

[1] Indian Inst Sci, Ctr High Energy Phys, Bangalore 560012, Karnataka, India

[2] Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

来源：

JOURNAL OF PHYSICS-CONDENSED MATTER | 2014年 / 26卷 / 31期

关键词：

topological insulators; edge states; junctions; conductance; HGTE QUANTUM-WELLS; SINGLE DIRAC CONE; SURFACE; JUNCTION; BI2TE3; PHASE;

D O I：

10.1088/0953-8984/26/31/315009

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We use the bulk Hamiltonian for a three-dimensional topological insulator such as Bi-2 Se-3 to study the states which appear on its various surfaces and along the edge between two surfaces. We use both analytical methods based on the surface Hamiltonians (which are derived from the bulk Hamiltonian) and numerical methods based on a lattice discretization of the bulk Hamiltonian. We find that the application of a potential barrier along an edge can give rise to states localized at that edge. These states have an unusual energy-momentum dispersion which can be controlled by applying a potential along the edge; in particular, the velocity of these states can be tuned to zero. The scattering and conductance across the edge is studied as a function of the edge potential. We show that a magnetic field in a particular direction can also give rise to zero energy states on certain edges. We point out possible experimental ways of looking for the various edge states.

引用

页数：13

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