Topological spin pumps I

Abstract

We have established a semiclassical kinetic approach for various spin correlated pumping phenomena incorporating spin rotation in wave functions into transport equations. We employ this technique to study topological pumps and illustrate spin pumping in a few models where various spin configurations or topological motors drive adiabatic pumps. In the Rashba model we find that a topological spin pump is driven by a meron with positive one half skyrmion charge, the size of which can be controlled by external gates or Zeeman fields. In the Dresselhaus model on the other hand, electron spins are pumped out by a negative meron. We examine effects of Zeeman fields on topological spin pumping and responses of fermi seas in various pumps. The phenomena of topological pumping are attributed to topological Stern-Gerlach splitting and occur in a transverse direction along which charge pumping currents either vanish or are negligible. The transport equations established here might also be applied for the studies of anomalous Hall effect and spin Hall effect as demonstrated in one of appendices.

47 pages, 4 figures; to appear in PRB

References in corpus (2)

• Dissipationless Quantum Spin Current at Room Temperature
• Mesoscopic effects in adiabatic spin pumping

Cited by in corpus (14)

• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Observation of the spin-based plasmonic effect in nanoscale structures
• Topological spin transport of photons: the optical Magnus Effect and Berry Phase
• Mesoscopic Stern-Gerlach spin filter by nonuniform spin-orbit interaction
• Spin pumping and measurement of spin currents in optical superlattices
• Topological spin transport of relativistic electron
• Spin Gauge Fields: from Berry Phase to Topological Spin Transport and Hall Effects
• Topological spin transport of photons: "magnetic monopole" gauge field in Maxwell equations and polarization splitting of rays in periodically inhomogeneous media
• On the Hamiltonian nature of semiclassical equations of motion in the presence of an electromagnetic field and Berry curvature
• Spin-orbit interaction of photons and fine splitting of levels in ring dielectric resonator
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• "Skew" scattering of cold unpolarized neutrons in ferromagnetic crystal
• Coupling of electron rotation with spin in semiconductors
• Resolving the order parameter of High-T${}_c$ Superconductors through quantum pumping spectroscopy