# Effect of long-range structural corrugations on magnetotransport properties of phosphorene in tilted magnetic field

## TL;DR

This study investigates how long-range structural corrugations influence the electronic and magnetotransport properties of phosphorene under tilted magnetic fields, revealing significant deviations in Landau levels and resistivities, especially at large tilt angles.

## Contribution

It provides analytical insights into the effects of surface corrugations on phosphorene's Landau levels and magnetotransport in tilted magnetic fields, a novel aspect in 2D material research.

## Key findings

- Landau levels deviate from linear field dependence due to corrugations
- Surface corrugations significantly affect electronic spectrum at large tilt angles
- Nonlinear magnetotransport effects are observable at moderate magnetic fields

## Abstract

Rippling is an inherent quality of two-dimensional materials playing an important role in determining their properties. Here, we study the effect of structural corrugations on the electronic and transport properties of monolayer black phosphorus (phosphorene) in the presence of tilted magnetic field. We follow a perturbative approach to obtain analytical corrections to the spectrum of Landau levels induced by a long-wavelength corrugation potential. We show that surface corrugations have a non-negligible effect on the electronic spectrum of phosphorene in tilted magnetic field. Particularly, the Landau levels are shown to exhibit deviations from the linear field dependence. The observed effect become especially pronounced at large tilt angles and corrugation amplitudes. Magnetotransport properties are further examined in the low temperature regime taking into account impurity scattering. We calculate magnetic field dependence of the longitudinal and Hall resistivities and find that the nonlinear effects reflecting the corrugation might be observed even in moderate fields (\mbox{$B<10$ T}).