Topological surface states protected from backscattering by chiral spin texture

Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated because of the strong spin–orbit coupling inherent to these systems. These materials are distinguished from ordinary insulators by the presence of gapless metallic surface states, resembling chiral edge modes in quantum Hall systems, but with unconventional spin textures. A key predicted feature of such spin-textured boundary states is their insensitivity to spin-independent scattering, which is thought to protect them from backscattering and localization. Recently, experimental and theoretical efforts have provided strong evidence for the existence of both two- and three-dimensional classes of such topological insulator materials in semiconductor quantum well structures and several bismuth-based compounds, but so far experiments have not probed the sensitivity of these chiral states to scattering. Here we use scanning tunnelling spectroscopy and angle-resolved photoemission spectroscopy to visualize the gapless surface states in the three-dimensional topological insulator Bi1-xSbx, and examine in detail the influence of scattering from disorder caused by random alloying in this compound. We show that, despite strong atomic scale disorder, backscattering between states of opposite momentum and opposite spin is absent. Our observations demonstrate that the chiral nature of these states protects the spin of the carriers. These chiral states are therefore potentially useful for spin-based electronics, in which long spin coherence is critical, and also for quantum computing applications, where topological protection can enable fault-tolerant information processing.

[1]  D. Eigler,et al.  Imaging standing waves in a two-dimensional electron gas , 1993, Nature.

[2]  Jensen,et al.  Spin Splitting of an Au(111) Surface State Band Observed with Angle Resolved Photoelectron Spectroscopy. , 1996, Physical review letters.

[3]  E. Lægsgaard,et al.  Direct imaging of the two-dimensional Fermi contour: Fourier-transform STM , 1998 .

[4]  P. Hedegård,et al.  A simple tight-binding model of spin–orbit splitting of sp-derived surface states , 2000 .

[5]  Stuart A. Wolf,et al.  Spintronics : A Spin-Based Electronics Vision for the Future , 2009 .

[6]  H. Eisaki,et al.  Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+δ , 2002, Science.

[7]  Dung-Hai Lee,et al.  Quasiparticle scattering interference in high-temperature superconductors , 2002, cond-mat/0205118.

[8]  R. Markiewicz Bridging k and q space in the cuprates: Comparing angle-resolved photoemission and STM results , 2003, cond-mat/0309254.

[9]  K. Horn,et al.  Role of spin in quasiparticle interference. , 2004, Physical review letters.

[10]  Timur K. Kim,et al.  Evidence against a charge density wave on Bi(111) , 2005 .

[11]  E. J. Mele,et al.  Z2 topological order and the quantum spin Hall effect. , 2005, Physical review letters.

[12]  H. Takagi,et al.  Elastic Scattering Susceptibility of the High Temperature Superconductor Bi(2)Sr(2)CaCu(2)O(8)+Theta , 2006 .

[13]  R. Roy On the $Z_2$ classification of Quantum Spin Hall Models , 2006, cond-mat/0604211.

[14]  Shou-Cheng Zhang,et al.  Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells , 2006, Science.

[15]  J. Crain,et al.  Scattering and Interference in Epitaxial Graphene , 2007, Science.

[16]  Liang Fu,et al.  Topological insulators with inversion symmetry , 2006, cond-mat/0611341.

[17]  Liang Fu,et al.  Topological insulators in three dimensions. , 2006, Physical review letters.

[18]  R. J. Schoelkopf,et al.  Observation of Berry's Phase in a Solid-State Qubit , 2007, Science.

[19]  L. Balents,et al.  Topological invariants of time-reversal-invariant band structures , 2007 .

[20]  L. Molenkamp,et al.  Quantum Spin Hall Insulator State in HgTe Quantum Wells , 2007, Science.

[21]  D. Hsieh,et al.  A topological Dirac insulator in a quantum spin Hall phase , 2008, Nature.

[22]  Shou-Cheng Zhang,et al.  Quantum spin Hall effect. , 2005, Physical review letters.

[23]  K. Kern,et al.  Quasiparticle chirality in epitaxial graphene probed at the nanometer scale. , 2008, Physical review letters.

[24]  L. Fu,et al.  Surface states and topological invariants in three-dimensional topological insulators: Application to Bi 1 − x Sb x , 2008 .

[25]  Xi Dai,et al.  Topological insulators in Bi2Se3, Bi2Te3 and Sb2Te3 with a single Dirac cone on the surface , 2009 .

[26]  R. Roy Z 2 classification of quantum spin Hall systems: An approach using time-reversal invariance , 2009 .

[27]  Gustav Bihlmayer,et al.  Observation of unconventional quantum spin textures in topological insulators , 2009 .

[28]  Chaoxing Liu,et al.  Electronic structures and surface states of the topological insulator Bi 1 − x Sb x , 2009, 0901.2762.

[29]  L. Fu,et al.  Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator , 2009 .

[30]  Haijun Zhang,et al.  Topological Insulators at Room Temperature , 2008, 0812.1622.