Helical edge states in multiple topological mass domains

被引:24
作者
Michetti, P. [1 ]
Penteado, P. H. [1 ,2 ]
Egues, J. C. [2 ]
Recher, P. [1 ,3 ]
机构
[1] Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany
[2] Univ Sao Paulo, Inst Fis Sao Carlos, BR-13560970 Sao Carlos, SP, Brazil
[3] TU Braunschweig, Inst Math Phys, D-38106 Braunschweig, Germany
基金
巴西圣保罗研究基金会;
关键词
HGTE QUANTUM-WELLS; SINGLE DIRAC CONE; INSULATOR; SURFACE; BI2TE3; PHASE;
D O I
10.1088/0268-1242/27/12/124007
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
The two-dimensional topological insulating phase has been experimentally discovered in HgTe quantum wells. The low-energy physics of two-dimensional topological insulators (TIs) is described by the Bernevig-Hughes-Zhang (BHZ) model, where the realization of a topological or a normal insulating phase depends on the Dirac mass being negative or positive, respectively. We solve the BHZ model for a mass domain configuration, analyzing the effects on the edge modes of a finite Dirac mass in the normal insulating region (soft-wall boundary condition). We show that at a boundary between a TI and a normal insulator (NI), the Dirac point of the edge states appearing at the interface strongly depends on the ratio between the Dirac masses in the two regions. We also consider the case of multiple boundaries such as NI/TI/NI, TI/NI/TI and NI/TI/NI/TI.
引用
收藏
页数:10
相关论文
共 36 条
[1]   Quantum spin Hall effect and topological phase transition in HgTe quantum wells [J].
Bernevig, B. Andrei ;
Hughes, Taylor L. ;
Zhang, Shou-Cheng .
SCIENCE, 2006, 314 (5806) :1757-1761
[2]  
Büttner B, 2011, NAT PHYS, V7, P418, DOI [10.1038/nphys1914, 10.1038/NPHYS1914]
[3]   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
[4]   Full electrical control of charge and spin conductance through interferometry of edge states in topological insulators [J].
Dolcini, Fabrizio .
PHYSICAL REVIEW B, 2011, 83 (16)
[5]   Topological insulators with inversion symmetry [J].
Fu, Liang ;
Kane, C. L. .
PHYSICAL REVIEW B, 2007, 76 (04)
[6]   A topological Dirac insulator in a quantum spin Hall phase [J].
Hsieh, D. ;
Qian, D. ;
Wray, L. ;
Xia, Y. ;
Hor, Y. S. ;
Cava, R. J. ;
Hasan, M. Z. .
NATURE, 2008, 452 (7190) :970-U5
[7]   Observation of Unconventional Quantum Spin Textures in Topological Insulators [J].
Hsieh, D. ;
Xia, Y. ;
Wray, L. ;
Qian, D. ;
Pal, A. ;
Dil, J. H. ;
Osterwalder, J. ;
Meier, F. ;
Bihlmayer, G. ;
Kane, C. L. ;
Hor, Y. S. ;
Cava, R. J. ;
Hasan, M. Z. .
SCIENCE, 2009, 323 (5916) :919-922
[8]   SOLITONS WITH FERMION NUMBER 1/2 [J].
JACKIW, R ;
REBBI, C .
PHYSICAL REVIEW D, 1976, 13 (12) :3398-3409
[9]   Quantum spin Hall effect in graphene [J].
Kane, CL ;
Mele, EJ .
PHYSICAL REVIEW LETTERS, 2005, 95 (22)
[10]   Z2 topological order and the quantum spin Hall effect -: art. no. 146802 [J].
Kane, CL ;
Mele, EJ .
PHYSICAL REVIEW LETTERS, 2005, 95 (14)