Anisotropy of Magnetoresistance Hysteresis around the $\nu=2/3$ Quantum Hall State in Tilted Magnetic Field

TL;DR

This study investigates how the anisotropy of magnetic field orientation influences hysteretic transport and nuclear spin dynamics around the $ u=2/3$ quantum Hall state, revealing the impact of current direction on electron spin domains.

Contribution

It provides new insights into the anisotropic behavior of hysteresis and nuclear spin relaxation in the quantum Hall regime under tilted magnetic fields.

Findings

Hysteresis is strong when $B_{\parallel}$ is normal to current.

Hysteresis diminishes when $B_{\parallel}$ is parallel to current.

Nuclear spin-lattice relaxation rate increases as the angle between $B_{\parallel}$ and current decreases.

Abstract

We present an anisotropy of the hysteretic transport around the spin transition point at Landau level filling factor $\nu=2/3$ in tilted magnetic field. When the direction of the in-plane component of the magnetic field $B_{\parallel}$ is normal to the probe current $I$, a strong hysteretic transport due to the current-induced nuclear spin polarization occurs. When $B_{\parallel}$ is parallel to $I$, on the other hand, the hysteresis almost disappears. We also demonstrate that the nuclear spin-lattice relaxation rate $T_{1}^{-1}$ at the transition point increases with decreasing angle between the directions of $B_{\parallel}$ and $I$. These results suggest that the morphology of electron spin domains around $\nu =2/3$ is affected by the current direction.