Conductivity corrections for topological insulators with spin-orbit impurities: Hikami-Larkin-Nagaoka formula revisited

被引：30

作者：

Adroguer, P. ^{[1
]}

Liu, Weizhe E. ^{[2
]}

Culcer, D. ^{[2
]}

Hankiewicz, E. M. ^{[1
]}

机构：

[1] Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany

[2] Univ New S Wales, Sch Phys, Sydney, NSW 2052, Australia

来源：

PHYSICAL REVIEW B | 2015年 / 92卷 / 24期

关键词：

WEAK-LOCALIZATION; MAGNETORESISTANCE; TRANSPORT; SURFACE;

D O I：

10.1103/PhysRevB.92.241402

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The Hikami-Larkin-Nagaoka (HLN) formula [S. Hikami, A. I. Larkin, and Y. Nagaoka, Prog. Theor. Phys. 63, 707 (1980)] describes the quantum corrections to the magnetoconductivity of a quasi-2D electron gas (quasi-2DEG) with parabolic dispersion. It predicts a crossover from weak localization to antilocalization as a function of the strength of scattering off spin-orbit impurities. Here, we derive the conductivity correction for massless Dirac fermions in 3D topological insulators (TIs) in the presence of spin-orbit impurities. We show that this correction is always positive and therefore we predict weak antilocalization for every value of the spin-orbit disorder. Furthermore, the correction to the diffusion constant is surprisingly linear in the strength of the impurity spin-orbit. Our results call for a reinterpretation of experimental fits for the magnetoconductivity of 3D TIs, which have so far used the standard HLN formula.

引用

页数：5

共 28 条

[1] Diffusion at the surface of topological insulators [J].

Adroguer, Pierre ;

Carpentier, David ;

Cayssol, Jerome ;

Orignac, Edmond .

NEW JOURNAL OF PHYSICS, 2012, 14

[2]

Akkermans E., 2007, MESOSCOPIC PHYS ELEC

[3]

ALTSHULER BL, 1981, JETP LETT+, V33, P499

[4] MAGNETORESISTANCE AND HALL-EFFECT IN A DISORDERED 2-DIMENSIONAL ELECTRON-GAS [J].

ALTSHULER, BL ;

KHMELNITZKII, D ;

LARKIN, AI ;

LEE, PA .

PHYSICAL REVIEW B, 1980, 22 (11) :5142-5153

[5] Quantum Corrections Crossover and Ferromagnetism in Magnetic Topological Insulators [J].

Bao, Lihong ;

Wang, Weiyi ;

Meyer, Nicholas ;

Liu, Yanwen ;

Zhang, Cheng ;

Wang, Kai ;

Ai, Ping ;

Xiu, Faxian .

SCIENTIFIC REPORTS, 2013, 3

[6] Quantum interference and Aharonov-Bohm oscillations in topological insulators [J].

Bardarson, Jens H. ;

Moore, Joel E. .

REPORTS ON PROGRESS IN PHYSICS, 2013, 76 (05)

[7] Bulk Band Gap and Surface State Conduction Observed in Voltage-Tuned Crystals of the Topological Insulator Bi2Se3 [J].

Checkelsky, J. G. ;

Hor, Y. S. ;

Cava, R. J. ;

Ong, N. P. .

PHYSICAL REVIEW LETTERS, 2011, 106 (19)

[8] Tunable surface conductivity in Bi2Se3 revealed in diffusive electron transport [J].

Chen, J. ;

He, X. Y. ;

Wu, K. H. ;

Ji, Z. Q. ;

Lu, L. ;

Shi, J. R. ;

Smet, J. H. ;

Li, Y. Q. .

PHYSICAL REVIEW B, 2011, 83 (24)

[9] Experimental Realization of a Three-Dimensional Topological Insulator, Bi2Te3 [J].

Chen, Y. L. ;

Analytis, J. G. ;

Chu, J. -H. ;

Liu, Z. K. ;

Mo, S. -K. ;

Qi, X. L. ;

Zhang, H. J. ;

Lu, D. H. ;

Dai, X. ;

Fang, Z. ;

Zhang, S. C. ;

Fisher, I. R. ;

Hussain, Z. ;

Shen, Z. -X. .

SCIENCE, 2009, 325 (5937) :178-181

[10] Weak antilocalization in topological insulator Bi2Te3 microflakes [J].

Chiu, Shao-Pin ;

Lin, Juhn-Jong .

PHYSICAL REVIEW B, 2013, 87 (03)

← 1 2 3 →