Bulk-edge and bulk-hinge correspondence in inversion-symmetric insulators
作者： Shuichi Murakami , Ryo Takahashi , Yutaro Tanaka
DOI: 10.1103/PHYSREVRESEARCH.2.013300
关键词:
摘要: This paper establishes a general proof of bulk-hinge correspondence in inversion-symmetric insulators. By continuously introducing cut to three dimensional second order topological insulator, the resulting spectral flow reflects parities bulk eigenstates, necessarily leading band inversions through this cutting procedure. As result, it is shown that two slab second-order insulator always two-dimensional Chern insulator.
harvard.edu
arxiv-vanity.com参考文章(63)
Xiao-Liang Qi, Taylor L. Hughes, Shou-Cheng Zhang, Topological field theory of time-reversal invariant insulators Physical Review B. ,vol. 78, pp. 195424- ,(2008) , 10.1103/PHYSREVB.78.195424
Ari M. Turner, Yi Zhang, Roger S. K. Mong, Ashvin Vishwanath, Quantized response and topology of magnetic insulators with inversion symmetry Physical Review B. ,vol. 85, pp. 165120- ,(2012) , 10.1103/PHYSREVB.85.165120
Jeffrey C. Y. Teo, Taylor L. Hughes, Existence of Majorana-fermion bound states on disclinations and the classification of topological crystalline superconductors in two dimensions. Physical Review Letters. ,vol. 111, pp. 047006- ,(2013) , 10.1103/PHYSREVLETT.111.047006
R. B. Laughlin, Quantized Hall conductivity in two dimensions Physical Review B. ,vol. 23, pp. 5632- 5633 ,(1981) , 10.1103/PHYSREVB.23.5632
Taylor L. Hughes, Emil Prodan, B. Andrei Bernevig, Inversion-symmetric topological insulators Physical Review B. ,vol. 83, pp. 245132- ,(2011) , 10.1103/PHYSREVB.83.245132
J. Zak, Berry’s phase for energy bands in solids Physical Review Letters. ,vol. 62, pp. 2747- 2750 ,(1989) , 10.1103/PHYSREVLETT.62.2747
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, Shou-Cheng Zhang, Topological insulators and superconductors Reviews of Modern Physics. ,vol. 83, pp. 1057- 1110 ,(2011) , 10.1103/REVMODPHYS.83.1057
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
Liang Fu, C. L. Kane, Topological insulators with inversion symmetry Physical Review B. ,vol. 76, pp. 045302- ,(2007) , 10.1103/PHYSREVB.76.045302