Hysteresis and spin phase transitions in quantum wires in the integer quantum Hall regime

Details Hysteresis and spin phase transitions in quantum wires in the integer quantum Hall regime Hysteresis and spin phase transitions in quantum wires in the integer quantum Hall regime

2006-07-08

arxiv.org/abs/cond-mat/0607214v1

Phys. Rev. B 74, 035318(2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

submitted to PRL

Scientific paper

10.1103/PhysRevB.75.035318

We demonstrate that a split-gate quantum wire in the integer quantum Hall regime can exhibit electronic transport hysteresis for up- and down-sweeps of a magnetic field. This behavior is shown to be due to phase spin transitions between two different ground states with and without spatial spin polarization in the vicinity of the wire boundary. The observed effect has a many-body origin arising from an interplay between a confining potential, Coulomb interactions and the exchange interaction. We also demonstrate and explain why the hysteretic behavior is absent for steep and smooth confining potentials and is present only for a limited range of intermediate confinement slopes.

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