One-dimensional topologically protected modes in topological insulators with lattice dislocations

Nature Physics

Volumn 5, Issue 4, 2009, Pages 298-303

  Ran, Ying ^a,b   Zhang, Yi ^a   Vishwanath, Ashvin ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHEMICAL INDUSTRY; COSMOLOGY; DEFECTS; DOMAIN WALLS; ELECTRIC INSULATORS; NANOWIRES; QUANTUM OPTICS; SEMICONDUCTOR QUANTUM WIRES; SUPERFLUID HELIUM; TOPOLOGICAL INSULATORS; VORTEX FLOW;

COSMIC STRINGS; CRYSTALLINE SOLIDS; DISLOCATION LINES; FERMIONIC EXCITATIONS; LATTICE DISLOCATIONS; LOW-ENERGY EXCITATIONS; QUANTUM SYSTEM; TOPOLOGICAL DEFECT;

TOPOLOGY;

EID: 63849244620     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys1220     Document Type: Article

References (18)

1. Kane, C. L. & Mele, E. J. Quantum spin hall effect in graphene. Phys. Rev. Lett. 95, 226801 (2005).
2. 2 topological order and the quantum spin Hall effect. Phys. Rev. Lett. 95, 146802 (2005).
3. Bernevig, B. A. & Zhang, S.-C. Quantum spin Hall effect. Phys. Rev. Lett. 96, 106802 (2006).
4. Fu, L., Kane, C. L. & Mele, E. J. Topological insulators in three dimensions. Phys. Rev. Lett. 98, 106803 (2007).
5. Moore, J. E. & Balents, L. Topological invariants of time-reversal-invariant band structures. Phys. Rev. B 75, 121306 (2007).
6. Roy, R. Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect. Preprint at (2006).
7. Bernevig, B. A., Hughes, T. L. & Zhang, S.-C. Quantum spin Hall effect and topological phase transition in HgTe quantum wells. Science 314, 1757-1761 (2006).
8. Koenig, M. et al. Quantum spin Hall insulator state in HgTe quantum wells. Science 318, 766-770 (2007).
9. Wu, C, Bernevig, B. A. & Zhang, S.-C. Helical liquid and the edge of quantum spin Hall systems. Phys. Rev. Lett. 96, 106401 (2006).
10. 2 topology. Phys. Rev. B 73, 045322 (2006).
11. Hsieh, D. et al. A topological Dirac insulator in a quantum spin hall phase. Nature 452, 970-974 (2008).
12. Fradkin, E., Dagotto, E. & Boyanovsky, D. Physical realization of the parity anomaly in condensed matter physics. Phys. Rev. Lett. 57, 2967-2970 (1986).
13. Nakahara, M. Geometry, Topology and Physics (Institute of Physics, 2003).
14. Jackiw, R. & Rossi, P. Zero modes of the vortex-fermion system. Nucl. Phys. B 190, 681-691 (1981).
15. Kohmoto, M., Halperin, B. I. & Wu, Y.-S. Diophantine equation for the three-dimensional quantum Hall effect. Phys. Rev. B 45, 13488-13493 (1992).
16. Carpentier, D., LeDoussal, P. & Giamarchi, T. Stability of the Bragg glass phase in a layered geometry. Europhys. Lett. 35, 379-384 (1996).
17. x . Phys. Rev. B 78, 045426 (2008).
18. Fu, L. & Kane, C. L. Superconducting proximity effect and majorana fermions at the surface of a topological insulator. Phys. Rev. Lett. 100, 096407 (2008).