Spin connection and boundary states in a topological insulator

被引：33

作者：

Parente, V. ^{[1
]}

Lucignano, P. ^{[1
,2
]}

Vitale, P. ^{[1
,3
]}

Tagliacozzo, A. ^{[1
,2
]}

Guinea, F. ^{[4
]}

机构：

[1] Univ Naples Federico 2, Dipartimento Sci Fis, I-80126 Naples, Italy

[2] CNR SPIN, I-80126 Naples, Italy

[3] Ist Nazl Fis Nucl, I-80126 Naples, Italy

[4] Inst Ciencia Mat Madrid CSIC, E-28049 Madrid, Spain

来源：

PHYSICAL REVIEW B | 2011年 / 83卷 / 07期

关键词：

ELECTRONIC-PROPERTIES; GRAPHENE;

D O I：

10.1103/PhysRevB.83.075424

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We study the surface resistivity of a three-dimensional topological insulator when the boundaries exhibit a nontrivial curvature. We obtain an analytical solution for a spherical topological insulator, and we show that a nontrivial quantum spin connection emerges from the three-dimensional band structure. We analyze the effect of the spin connection on the scattering by a bump on a flat surface. Quantum effects induced by the geometry lead to resonances when the electron wavelength is comparable to the size of the bump.

引用

页数：10

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