An optimal topological spin pump

Abstract

We study the recently introduced ${\mathbb{Z}}_2$ pump consisting of a family of one-dimensional bulk insulators with time reversal restriction on the pumping cycle. We find that the scattering matrices of these pumps are dichotomized by a topological index. We show that the class of pumps characterized by a nontrivial topological index allows, in contrast to its topologically trivial counterpart, for the noiseless pumping of quantized spin, even in the absence of spin conservation. This distinction sheds light on the ${\mathbb{Z}}_2$ classification of two-dimensional time reversal invariant insulators.

4 pages, 2 figures

References in corpus (6)

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Cited by in corpus (19)

• Reflection symmetric second-order topological insulators and superconductors
• Topological Pumping over a Photonic Fibonacci Quasicrystal
• Spin-helical transport in normal and superconducting topological insulators
• Topological equivalence of crystal and quasicrystal band structures
• Photonic ${\mathbb{Z}}_2$ topological Anderson insulators
• Electrically Controlled Pumping of Spin Currents in Topological Insulators
• Topological classification of adiabatic processes
• Finite-size corrections to quantized particle transport in topological charge pumps
• Z2 phase diagram of three-dimensional disordered topological insulator via scattering matrix approach
• A Topological Spin Chern Pump
• Topological pumping in the one-dimensional Bose-Hubbard model
• Topological pumping in class-D superconducting wires
• Non-adiabatic topological spin pumping
• A topological classification of interaction-driven spin pumps
• Quantized spin pumping in topological ferromagnetic-superconducting nanowires
• Band alignment effect in the topological photonic alloy
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Topological charge and spin pumping in a semiconductor nanowire
• Laughlin charge pumping from interplay of chiral Dirac and chiral Majorana modes