Landauer-Büttiker approach for hyperfine mediated electronic transport in the integer quantum Hall regime

Abstract

The interplay of spin-polarized electronic edge states with the dynamics of the host nuclei in quantum Hall systems presents rich and non-trivial transport physics. Here, we develop a Landauer-Büttiker approach to understand various experimental features observed in the integer quantum Hall set ups featuring quantum point contacts. The approach developed here entails a phenomenological description of spin resolved inter-edge scattering induced via hyperfine assisted electron-nuclear spin flip-flop processes. A self-consistent simulation framework between the nuclear spin dynamics and edge state electronic transport is presented in order to gain crucial insights into the dynamic nuclear polarization effects on electronic transport and in turn the electron-spin polarization effects on the nuclear spin dynamics. In particular, we show that the hysteresis noted experimentally in the conductance-voltage trace as well as in the resistively detected NMR lineshape results from a lack of quasi-equilibrium between electronic transport and nuclear polarization evolution. In addition, we present circuit models to emulate such hyperfine mediated transport effects to further facilitate a clear understanding of the electronic transport processes occurring around the quantum point contact. Finally, we extend our model to account for the effects of quadrupolar splitting of nuclear levels and also depict the electronic transport signatures that arise from single and multi-photon processes.

21 pages, 8 figures

References in corpus (11)

• Nuclear spin physics in quantum dots: an optical investigation
• Infinite density matrix renormalization group for multicomponent quantum Hall systems
• NMR profiling of quantum electron solids in high magnetic fields
• Electrical polarization of nuclear spins in a breakdown regime of quantum Hall effect
• Realistic modelling of quantum point contacts subject to high magnetic fields and with current bias at out of linear response regime
• Electronic magnetization of a quantum point contact measured by nuclear magnetic resonance
• Nanometre-scale nuclear-spin device for quantum information processing
• The spin-split incompressible edge states within empirical Hartree approximation at intermediately large Hall samples
• RD-NMR spectra of the crystal states of the two-dimensional electron gas in a quantizing magnetic field
• Electrostatics of Edge States of Quantum Hall Systems with Constrictions: Metal--Insulator Transition Tuned by External Gates
• Anisotropic nuclear-spin diffusion in double quantum wells

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• Dipole-like dynamical nuclear spin polarization around a quantum point contact
• Classical information driven quantum dot thermal machines
• Proposal for a solid-state magnetoresistive Larmor quantum clock