Collective Modes of a Helical Liquid

被引：188
作者：
Raghu, S. [1 ]
Chung, Suk Bum [1 ]
Qi, Xiao-Liang [1 ]
Zhang, Shou-Cheng [1 ]
机构：
[1] Stanford Univ, Dept Phys, Stanford, CA 94305 USA
来源：
PHYSICAL REVIEW LETTERS | 2010年 / 104卷 / 11期
基金：
美国国家科学基金会;
关键词：
HGTE QUANTUM-WELLS; SINGLE DIRAC CONE; TOPOLOGICAL-INSULATOR; BI2TE3; SURFACE; SB2TE3; BI2SE3; PHASE;
D O I：
10.1103/PhysRevLett.104.116401
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study low energy collective modes and transport properties of the "helical metal" on the surface of a topological insulator. At low energies, electrical transport and spin dynamics at the surface are exactly related by an operator identity equating the electric current to the in-plane components of the spin degrees of freedom. From this relation it follows that an undamped spin wave always accompanies the sound mode in the helical metal-thus it is possible to "hear" the sound of spins. In the presence of long range Coulomb interactions, the surface plasmon mode is also coupled to the spin wave, giving rise to a hybridized "spin-plasmon" mode. We make quantitative predictions for the spin-plasmon in Bi(2)Se(3), and discuss its detection in a spin-grating experiment.
引用
收藏
页数：4
相关论文
共 21 条
[1]  
ALPICHSHEV Z, ARXIV09080371
[2]   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
[3]   Maxwell equation for coupled spin-charge wave propagation [J].
Bernevig, BA ;
Yu, XW ;
Zhang, SC .
PHYSICAL REVIEW LETTERS, 2005, 95 (07)
[4]   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
[5]   Topological insulators in three dimensions [J].
Fu, Liang ;
Kane, C. L. ;
Mele, E. J. .
PHYSICAL REVIEW LETTERS, 2007, 98 (10)
[6]   Topological insulators with inversion symmetry [J].
Fu, Liang ;
Kane, C. L. .
PHYSICAL REVIEW B, 2007, 76 (04)
[7]   Hexagonal Warping Effects in the Surface States of the Topological Insulator Bi2Te3 [J].
Fu, Liang .
PHYSICAL REVIEW LETTERS, 2009, 103 (26)
[8]   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
[9]   A tunable topological insulator in the spin helical Dirac transport regime [J].
Hsieh, D. ;
Xia, Y. ;
Qian, D. ;
Wray, L. ;
Dil, J. H. ;
Meier, F. ;
Osterwalder, J. ;
Patthey, L. ;
Checkelsky, J. G. ;
Ong, N. P. ;
Fedorov, A. V. ;
Lin, H. ;
Bansil, A. ;
Grauer, D. ;
Hor, Y. S. ;
Cava, R. J. ;
Hasan, M. Z. .
NATURE, 2009, 460 (7259) :1101-1105
[10]   Quantum spin hall insulator state in HgTe quantum wells [J].
Koenig, Markus ;
Wiedmann, Steffen ;
Bruene, Christoph ;
Roth, Andreas ;
Buhmann, Hartmut ;
Molenkamp, Laurens W. ;
Qi, Xiao-Liang ;
Zhang, Shou-Cheng .
SCIENCE, 2007, 318 (5851) :766-770
123