Elastic Spin Hall effect in Mechanical Graphene
arXiv:1609.08061 · doi:10.1088/1367-2630/18/11/113014
Abstract
We show that spin-orbit interaction and elastic spin-Hall effect can exist in a classical mechanical system consisting of a two-dimensional honeycomb lattice of masses and springs. The band structure shows the presence of splitting at K point induced by the difference of longitudinal and transverse elastic constant, and this splitting can be regarded as an effective Dresselhaus-type spin-orbit coupling. Interestingly, as an initial displacement away from the equilibrium is applied, the time evolution simulation shows that waves of different spin polarization propagates along different directions at the Gamma and K point, which is characteristic of spin-Hall effect. Several cases for spin-Hall effect are also discussed.
15 pages, 5 figures, and 3395 words
References in corpus (14)
- Quantum Spin Hall Effect in Graphene
- Universal Intrinsic Spin-Hall Effect
- Photonic Analogue of Two-dimensional Topological Insulators and Helical One-Way Edge Transport in Bi-Anisotropic Metamaterials
- Dissipationless Quantum Spin Current at Room Temperature
- Hall Effect of Light
- Conservation of Angular Momentum, Transverse Shift, and Spin Hall Effect in Reflection and Refraction of Electromagnetic Wave Packet
- Valley contrasting chiral phonons in monolayer hexagonal lattices
- Engineering spin-orbit coupling for photons and polaritons in microstructures
- Microscopic theory of quantum anomalous Hall effect in graphene
- Spin-orbit coupling and optical spin Hall effect in photonic graphene
- Manipulation of Dirac Cones in Mechanical Graphene
- Theory of spin-orbit coupling in bilayer graphene
- Polarization Transport of Transverse Acoustic Waves: Berry Phase and Spin Hall Effect of Phonons
- Anomalous spin Hall effects in Dresselhaus (110) quantum wells