Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
D. N. Sheng, Z. Y. Weng, L. Sheng, F. D. M. Haldane
Abstract
We present a topological description of quantum spin Hall effect (QSHE) in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings. We show that the topology of the band insulator can be characterized by a 2× 2 traceless matrix of first Chern integers. The nontrivial QSHE phase is identified by the nonzero diagonal matrix elements of the Chern number matrix (CNM). A spin Chern number is derived from the CNM, which is conserved in the presence of finite disorder scattering and spin nonconserving Rashba coupling. By using the Laughlin's gedanken experiment, we numerically calculate the spin polarization and spin transfer rate of the conducting edge states, and determine a phase diagram for the QSHE.
Create a lesson
Related papers
Scalar Spin Chirality from Dissipative Pumping and Lamb Shift Precession
YuanDong Wang, JianHua Wei
Singlet-doublet transitions and Josephson currents in a superconducting ring with a quantum dot
Guo-Hui Ding, Fei Ye, Bing Dong
Switchable Magnetoelectric Transport in Graphene via a Van der Waals Multiferroic
Miuko Tanaka, Shunta Aoki, Ikoi Sato et al.
Universal tuning of Förster resonance energy transfer in gate-programmable conductor-dielectric-conductor heterostructures
Alexis J. Agosto, Daniel Gunlycke, Michael N. Leuenberger
Chiral superconductors and competing states across a Lifshitz transition in rhombohedral pentalayer graphene
Chuanqi Zheng, Cheng Xu, Chushan Li et al.
Spin-textured orbitals in altermagnetic artificial atoms
Yue Mao, Yu-Chen Zhuang, Cheng-Ming Miao et al.