Quantum Hall Effect in Three-dimensional Field-Induced Spin Density Wave Phases with a Tilted Magnetic Field

TL;DR

This paper investigates the quantum Hall effect in three-dimensional anisotropic electrons within field-induced spin density wave phases under tilted magnetic fields, revealing quantized Hall conductivities dependent on the wave vector.

Contribution

It demonstrates the quantization of Hall conductivities in 3D FISDW phases with arbitrary magnetic field tilt, extending understanding of quantum Hall effects in complex materials.

Findings

$\sigma_{xy}$ and $\sigma_{xz}$ are quantized

$\sigma_{yz}$ remains zero

Quantization depends on the wave vector of FISDW

Abstract

The quantum Hall effect in the three-dimensional anisotropic tight-binding electrons is investigated in the field-induced spin density wave phases with a magnetic field tilted to any direction. The Hall conductivity, $\sigma_{xy}$ and $\sigma_{xz}$, are shown to be quantized as a function of the wave vector of FISDW, while $\sigma_{yz}$ stays zero, where $x$ is the most conducting direction and $y$ and $z$ are perpendicular to $x$.