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

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 $x^{\ast }\sim 0.11$. 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.

5 pages, 4 figures, 1 supplement

References in corpus (6)

• Robust formation of skyrmions and topological Hall effect in epitaxial thin films of MnSi
• A hidden constant in the anomalous Hall effect of a high-purity magnet MnSi
• Fermi-surface collapse and dynamical scaling near a quantum critical point
• Real-Space and Reciprocal-Space Berry Phases in the Hall Effect of Mn${}_{1-\mathrm{x}}$Fe${}_{\mathrm{x}}$Si
• Chiral criticality in doped Mn${}_{1-y}$Fe${}_y$Si compounds
• A microscopic model for spiral ordering along (110) on the MnSi lattice

Cited by in corpus (8)

• Magnetization and ac susceptibility study of the cubic chiral magnet Mn${}_{1-x}$Fe${}_x$Si
• Hidden quantum phase transition in Mn${}_{1-x}$Fe${}_x$Ge: evidence brought by small-angle neutron scattering
• Evolution of magneto-crystalline anisotropies in Mn${}_{1-x}$Fe${}_x$Si and Mn${}_{1-x}$Co${}_x$Si as inferred from small-angle neutron scattering and bulk properties
• Evolution of helimagnetic correlations in Mn${}_{1-x}$Fe${}_x$Si with doping: a small-angle neutron scattering study
• Fragile balance of the exchange interactions in Mn${}_{1-x}$Co${}_x$Ge compounds
• Magnetization of the Mn${}_{1-x}$Fe${}_x$Si in high magnetic field up to 50 T: possible evidence of a field-induced Griffiths phase
• Cubic B20 helimagnets with quenched disorder in magnetic field
• Evolution of Helimagnetic Correlations when approaching the Quantum Critical Point of Mn${}_{1-x}$Fe${}_x$Si