Influence of the Fermi surface shape on magnetotransport: the MnAs case

TL;DR

This study investigates how the shape of the Fermi surface influences magnetotransport properties, especially the Hall effect, in MnAs, revealing that hyperboloid-shaped Fermi surfaces cause goniopolar behavior confirmed by experiments.

Contribution

We developed a semiclassical Boltzmann transport model incorporating Fermi surface topology to explain goniopolar Hall effects in MnAs, supported by DFT calculations and experimental data.

Findings

Fermi surface of MnAs is dominated by hyperboloid topology.

Hyperboloid Fermi surface causes goniopolar behavior in Hall transport.

Experimental measurements confirm the theoretical predictions.

Abstract

We analyze the influence of the Fermi surface (FS) shape on magnetotransport properties, particularly on the Hall effect in the MnAs compound. It has been observed in MnAs films evidence of opposite conduction polarities for different crystal direction (goniopolarity) and a strong dependence of the carrier type with applied magnetic field. In order to understand this behaviour, we developed a model based on the semiclassical equations along with Boltzmann transport theory that takes into account both, the applied magnetic field and the FS shape. The FS of the MnAs compound is obtained by means of density functional theory (DFT), showing a clear dominance of the hyperboloid shape. Our study, corroborate that this specific topology of the FS gives rise to a goniopolar behaviour in the Hall transport. This theoretical results are supported by magnetotransport measurements on MnAs thin layers epitaxially grown on GaAs(001) and GaAs(111), where both configurations allow us to explore the transport characteristics for two different crystal directions of the MnAs.