Topological aspects of quantum spin Hall effect in graphene: Z2 topological order and spin Chern number
T. Fukui, Y. Hatsugai
Abstract
For generic time-reversal invariant systems with spin-orbit couplings, we clarify a close relationship between the Z2 topological order and the spin Chern number proposed by Kane and Mele and by Sheng et al., respectively, in the quantum spin Hall effect. It turns out that a global gauge transformation connects different spin Chern numbers (even integers) modulo 4, which implies that the spin Chern number and the Z2 topological order yield the same classification. We present a method of computing spin Chern numbers and demonstrate it in single and double plane of graphene.
Create a lesson
Related papers
Distinguishing Quantum Capacitance Signatures of a Topological Majorana Wire from a Normal Wire Segment
Binayyak Bhusan Roy, Jay Deep Sau, Sumanta Tewari
Band's Geometry Origin of Quantum Spin Transport Phenomena
Elena Derunova, Mazhar N. Ali
Trapping e/4 quasiparticles in bilayer graphene
Mario Di Luca, Emily Hajigeorgiou, Ning Ma et al.
Scalable, Simple, and Versatile Encapsulation of 2D Materials and Devices
Gabriel Natale, Uma Chirkova, Flávio Henriques Feres et al.
Mobility Enhancement in Si/SiGe Quantum Well Enabled by a Buried Si Layer Trapping Oxygen Impurities
Felix Reichmann, Alberto Mistroni, Fabian Fidorra et al.
Occupation-Driven Josephson Diode in a Symmetric Junction
Jianxiong Zhai, Zelei Zhang, Jiawei Yan