Edge states in graphene: from gapped flat-band to gapless chiral modes.
作者： Wang Yao , Shengyuan A. Yang , Qian Niu
DOI: 10.1103/PHYSREVLETT.102.096801
关键词:
摘要: We study edge states in graphene systems where a bulk energy gap is opened by inversion symmetry breaking. find that the bands dispersion can be controlled potentials applied on boundary with unit cell length scale. Under certain potentials, gapless valley-dependent velocity are found, exactly analogous to spin-dependent chiral quantum spin Hall systems. The connection of topological properties revealed.
arxiv.org
harvard.edu
arxiv-vanity.com
hku.hk参考文章(36)
Grigory E. Volovik, The Universe in a Helium Droplet ,(2003)
R. B. Laughlin, Quantized Hall conductivity in two dimensions Physical Review B. ,vol. 23, pp. 5632- 5633 ,(1981) , 10.1103/PHYSREVB.23.5632
B. I. Halperin, Quantized Hall conductance, current carrying edge states, and the existence of extended states in a two-dimensional disordered potential Physical Review B. ,vol. 25, pp. 2185- 2190 ,(1982) , 10.1103/PHYSREVB.25.2185
C. L. Kane, E. J. Mele, Quantum spin Hall effect in graphene Physical Review Letters. ,vol. 95, pp. 226801- 226801 ,(2005) , 10.1103/PHYSREVLETT.95.226801
Congjun Wu, B. Andrei Bernevig, Shou-Cheng Zhang, Helical liquid and the edge of quantum spin hall systems Physical Review Letters. ,vol. 96, pp. 106401- ,(2006) , 10.1103/PHYSREVLETT.96.106401
B. A. Bernevig, T. L. Hughes, S.-C. Zhang, Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells Science. ,vol. 314, pp. 1757- 1761 ,(2006) , 10.1126/SCIENCE.1133734
Masaru Onoda, Naoto Nagaosa, Spin current and accumulation generated by the spin hall insulator Physical Review Letters. ,vol. 95, pp. 106601- 106601 ,(2005) , 10.1103/PHYSREVLETT.95.106601
D. J. Thouless, M. Kohmoto, M. P. Nightingale, M. den Nijs, Quantized Hall Conductance in a Two-Dimensional Periodic Potential Physical Review Letters. ,vol. 49, pp. 405- 408 ,(1992) , 10.1103/PHYSREVLETT.49.405
Yasuhiro Hatsugai, Chern number and edge states in the integer quantum Hall effect. Physical Review Letters. ,vol. 71, pp. 3697- 3700 ,(1993) , 10.1103/PHYSREVLETT.71.3697
Xiao-Liang Qi, Yong-Shi Wu, Shou-Cheng Zhang, A General Theorem Relating the Bulk Topological Number to Edge States in Two-dimensional Insulators Physical Review B. ,vol. 74, pp. 045125- ,(2006) , 10.1103/PHYSREVB.74.045125