From colossal to zero: Controlling the Anomalous Hall Effect in Magnetic Heusler Compounds via Berry Curvature Design

Abstract

Since the discovery of the anomalous Hall effect (AHE), the anomalous Hall conductivity (AHC) has been thought to be zero when there is no net magnetization. However, the recently found relation between the intrinsic AHE and the Berry curvature predicts other possibilities, such as a large AHC in non-colinear antiferromagnets with no net magnetization but net Berry curvature. Vice versa, the AHE in principle could be tuned to zero, irrespective of a finite magnetization. Here, we experimentally investigate this possibility and demonstrate that, the symmetry elements of Heusler magnets can be changed such that the Berry curvature and all the associated properties are switched while leaving the magnetization unaffected. This enables us to tune the AHC from 0 Ω-1cm-1 up to 1600 Ω-1cm-1 with an exceptionally high anomalous Hall angle up to 12 %, while keeping the magnetization same. Our study shows that the AHC can be controlled by selectively changing the Berry curvature distribution, independent of the magnetization.

arXiv commentPublished in Physical Review X. 16 pages, 5 figures

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• Thickness dependence of the anomalous Hall effect in thin films of the topological semimetal Co${}_2$MnGa
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• Intrinsic anomalous Hall effect in Ni-substituted magnetic Weyl semimetal Co3Sn2S2
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• Modular Arithmetic with Nodal Lines: Drumhead Surface States in ZrSiTe
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• Anti-site disorder and Berry curvature driven anomalous Hall effect in spin gapless semiconducting Mn2CoAl Heusler compound
• Quantum oscillations revealing topological band in kagome metal ScV6Sn6
• Giant intrinsic anomalous terahertz Faraday rotation in the magnetic Weyl semimetal Co${}_2$MnGa at room temperature
• Ferromagnetic state above room temperature in a proximitized topological Dirac semimetal
• Fingerprints of the conformal anomaly on the thermoelectric transport in Dirac and Weyl semimetals: Result from a Kubo formula
• Coexistence of topological Weyl and nodal-ring states in ferromagnetic and ferrimagnetic double perovskites
• Band splitting induced Berry flux and intrinsic anomalous Hall conductivity in NiCoMnGa quaternary Heusler compound
• Evolution of Magnetism in Magnetic Topological Semimetal NdSb${}_x$Te${}_{2-x+\delta }$
• Tuning intrinsic anomalous Hall effect from large to zero in two ferromagnetic states of SmMn2Ge2
• Design strong anomalous Hall effect via spin canting in antiferromagnetic nodal line materials
• Colossal anomalous Hall and Nernst effect from the breaking of nodal-line symmetry in Cu2CoSn Weyl semimetal: A first-principles study
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• Magnetization governed magnetoresistance anisotropy in topological semimetal CeBi
• Role of chemical disorder in tuning the Weyl points in vanadium doped Co${}_2$TiSn
• Co-existence of Topological Non-trivial and Spin Gapless Semiconducting Behavior in MnPO${}_4$: A Composite Quantum Compound
• Large anomalous Hall effect induced by gapped nodal lines in GdZn and GdCd
• Thin films as practical quantum materials: a status quo and beyond
• Intrinsic and extrinsic anomalous transport properties of Heusler ferromagnets Fe${}_2$CoAl and Fe${}_2$NiAl from first principles
• Ultra-low-current-density single-layer magnetic Weyl semimetal spin Hall nano-oscillators
• Anomalous Hall conductivity and quantum friction
• Anomalous Hall signatures of nonsymmorphic nodal lines in doped chromium chalcospinel CuCr${}_2$Se${}_4$
• Experimental progress in Eu(Al,Ga)${}_4$ topological antiferromagnets
• Localization Trajectory and Chern-Simons axion coupling for Bilayer Quantum Anomalous Hall Systems
• Vanishing of the anomalous Hall effect and enhanced carrier mobility in the spin-gapless ferromagnetic Mn2CoGa1-xAlx alloys
• Magneto-elastic coupling in a sinusoidal modulated magnet Cr${}_2$GaN
• Odd-parity longitudinal magnetoconductivity in time-reversal symmetry broken materials
• Disproportionate influence of site disorder on the evolution of magnetic phases in anti-Heusler alloy Al${}_2$MnFe
• Enhanced anomalous Nernst effects in ferromagnetic materials driven by Weyl nodes
• Engineering magnetic anisotropy and ferromagnetism in topological Kagome metal GdV6Sn6 via Nd substitution
• Intrinsic Berry Curvature Driven Anomalous Hall and Nernst Effect in Co${}_2$MnSn
• Accessing quasi-flat $\text{f}$-bands to harvest large Berry curvature in NdGaSi
• CoRuTiGe: A Possible Spin Gapless Semiconductor