Quantum Pumping and Nuclear Polarization in the Integer Quantum Hall Regime

Abstract

We study pumping of charge in a 2DEG in the quantum Hall regime at filling factor $\nu =2$ (2 spin-split levels of the lowest Landau level). For pumping frequencies that match the Zeeman energy splitting, quantum pumping together with hyperfine interaction between electrons and nuclei induces transitions between the spin-split levels. These lead to a step-like change in the pumped current and to polarization of the nuclei. We present quantitative predictions for both. Our model provides the first quantitative tool to both control and measure the amount of local nuclear polarization in a 2DEG.

5 pages, 3 figures, modified text and Fig. 3

References in corpus (7)

• Quantum Transport in Semiconductor Nanostructures
• Floquet scattering theory of quantum pumps
• Experimental Realization of a Quantum Spin Pump
• Long-lived memory for mesoscopic quantum bits
• Floquet scattering in parametric electron pumps
• Charge pumping in a quantum wire driven by a series of local time-periodic potentials
• Quantum Pumping and Quantized Magnetoresistance in a Hall Bar

Cited by in corpus (2)

• Magnetic field symmetry of pump currents of adiabatically driven mesoscopic structures
• Resolving the order parameter of High-T${}_c$ Superconductors through quantum pumping spectroscopy