Anomalous Hall effect in half-metallic Heusler compound Co${}_2$Ti$X$ ($X$=Si, Ge)

Abstract

Though Weyl fermions have recently been observed in several materials with broken inversion symmetry, there are very few examples of such systems with broken time reversal symmetry. Various Co${}_2$-based half-metallic ferromagnetic Heusler compounds are lately predicted to host Weyl type excitations in their band structure. These magnetic Heusler compounds with broken time reversal symmetry are expected to show a large momentum space Berry curvature, which introduces several exotic magneto-transport properties. In this report, we present systematic analysis of experimental results on anomalous Hall effect (AHE) in Co${}_2$Ti$X$ ($X$=Si and Ge). This study is an attempt to understand the role of Berry curvature on AHE in Co${}_2$Ti$X$ family of materials. The anomalous Hall resistivity is observed to scale quadratically with the longitudinal resistivity for both the compounds. The detailed analysis indicates that in anomalous Hall conductivity, the intrinsic Karplus-Luttinger Berry phase mechanism dominates over the extrinsic skew scattering and side-jump mechanism.

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• Half-metallic Ferromagnets, Spin Gapless Semiconductors, and Topological Semimetals Based on Heusler Alloys
• Anomalous Hall effect from gapped nodal line in Co2FeGe Heusler compound
• Atomic disorder and Berry phase driven anomalous Hall effect in Co2FeAl Heusler compound
• Unusual kinetic properties of usual Heusler alloys
• Experimental observation of spin glass state in highly disordered quaternary Heusler alloy FeRuMnGa
• Band splitting induced Berry flux and intrinsic anomalous Hall conductivity in NiCoMnGa quaternary Heusler compound
• Co-existence of Topological Non-trivial and Spin Gapless Semiconducting Behavior in MnPO${}_4$: A Composite Quantum Compound
• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction
• Investigating the intrinsic anomalous Hall effect in MnPt3 topological semimetal