Scrutinizing Hall effect in Mn$_{1-x}$Fe$_{x}$Si: Fermi surface evolution and hidden quantum criticality

TL;DR

This study investigates the Hall effect in Mn$_{1-x}$Fe$_{x}$Si, revealing a sign inversion linked to a hidden quantum critical point and providing insights into Fermi surface evolution and magnetic interactions.

Contribution

It offers new understanding of the Fermi surface evolution and quantum criticality in Mn$_{1-x}$Fe$_{x}$Si through detailed Hall effect analysis and theoretical modeling.

Findings

Sign inversion of the ordinary Hall effect at x*~0.11

Identification of semimetallic behavior at intermediate Fe content

Predictions for Fermi surface and magnetic interaction changes

Abstract

Separating between ordinary (OHE) and anomalous (AHE) Hall effect in the paramagnetic phase of Mn$_{1-x}$Fe$_{x}$Si reveals OHE sign inversion associated with the hidden quantum critical (QC) point $x^*\sim0.11$. The semimetallic behavior at intermediate Fe content leads to verifiable predictions in the field of fermiology, magnetic interactions and QC in Mn$_{1-x}$Fe$_{x}$Si. The change of electron and hole concentrations is considered as a driving force for tuning the QC regime in Mn$_{1-x}$Fe$_{x}$Si via modifying of RKKY exchange interaction within the Heisenberg model of magnetism.