Non-adiabatic topological spin pumping

Abstract

Based on the Floquet scattering theory, we analytically investigate the topological spin pumping for an exactly solvable model. Floquet spin Chern numbers are introduced to characterize the periodically time-dependent system. The topological spin pumping remains robust both in the presence and in the absence of the time-reversal symmetry, as long as the pumping frequency is smaller than the band gap, where the electron transport involves only the Floquet evanescent modes in the pump. For the pumping frequency greater than the band gap, where the propagating modes in the pump participate in the electron transport, the spin pumping rate decays rapidly, marking the end of the topological pumping regime.

13 pages, 2 figures

References in corpus (7)

• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Time Reversal Polarization and a Z_2 Adiabatic Spin Pump
• Quantum Spin Hall Effect and Topologically Invariant Chern Numbers
• Robustness of the Spin-Chern number
• Microwave-driven ferromagnet--topological-insulator heterostructures: The prospect for giant spin battery effect and quantized charge pump devices
• Spin Chern Pumping from the Bulk of Two-Dimensional Topological Insulators
• Comparison of quantization of charge transport in periodic and open pumps

Cited by in corpus (8)

• Intrinsic magnetic topological insulator phases in the Sb doped MnBi2Te4 bulks and thin flakes
• Dynamical spin-to-charge conversion on the edge of quantum spin Hall insulator
• Realization of valley-spin polarized current via parametric pump in monolayer $\mathrm{Mo}{\mathrm{S}}_2$
• Fractional quantization of charge and spin in topological quantum pumps
• Long-range spin transport on the surface of topological Dirac semimetal
• Fano resonance via bonding and antibonding states in nonadiabatically-pumped double-quantum-well systems
• Quantum pumping with adiabatically modulated barriers in three-band pseudospin-1 Dirac-Weyl systems
• Analytical theory and possible detection of the $ac$ quantum spin Hall effect