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

Kaustuv Manna; Lukas Muechler; Ting Hui Kao; Rolf Stinshoff; Yang Zhang; Johannes Gooth; Nitesh Kumar; Guido Kreiner; Klaus Koepernik; Roberto Car; Jürgen Kübler; Gerhard H. Fecher; Chandra Shekhar; Yan Sun; Claudia Felser

doi:10.1103/PhysRevX.8.041045

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

Kaustuv Manna
, Lukas Muechler
, Ting Hui Kao
, Rolf Stinshoff
, Yang Zhang
, Johannes Gooth
, Nitesh Kumar
, Guido Kreiner
, Klaus Koepernik
, Roberto Car
, Jürgen Kübler
, Gerhard H. Fecher
, Chandra Shekhar
, Yan Sun
, Claudia Felser

Materials Theory

Research output: Contribution to journal › Article › peer-review

168 Scopus citations

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 noncolinear 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-1 cm-1 up to 1600 Ω-1 cm-1 with an exceptionally high anomalous Hall angle up to 12%, while keeping the magnetization the same. Our study shows that the AHC can be controlled by selectively changing the Berry curvature distribution, independent of the magnetization.

Original language	English
Article number	041045
Journal	Physical Review X
Volume	8
Issue number	4
DOIs	https://doi.org/10.1103/PhysRevX.8.041045
State	Published - Dec 11 2018

Funding

This work was financially supported by the ERC Advanced Grant No. 291472 “Idea Heusler,” ERC Advanced Grant No. 742068–TOPMAT, and Deutsche Forschungsgemeinschaft DFG under SFB 1143. T. H. K. acknowledges financial support from the Ministry of Science and Technology, Taiwan, under Grants No. 105-2917-I-110-004 and No. 103-2112-M-110-010-MY3. L. M. is grateful for the hospitality of the MPI CPFS, where part of the work was conducted. We thank J. Noky for helping the Berry curvature calculations.

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10.1103/PhysRevX.8.041045

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Manna, K., Muechler, L., Kao, T. H., Stinshoff, R., Zhang, Y., Gooth, J., Kumar, N., Kreiner, G., Koepernik, K., Car, R., Kübler, J., Fecher, G. H., Shekhar, C., Sun, Y., & Felser, C. (2018). From Colossal to Zero: Controlling the Anomalous Hall Effect in Magnetic Heusler Compounds via Berry Curvature Design. Physical Review X, 8(4), Article 041045. https://doi.org/10.1103/PhysRevX.8.041045

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title = "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 noncolinear 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-1 cm-1 up to 1600 Ω-1 cm-1 with an exceptionally high anomalous Hall angle up to 12\%, while keeping the magnetization the same. Our study shows that the AHC can be controlled by selectively changing the Berry curvature distribution, independent of the magnetization.",

author = "Kaustuv Manna and Lukas Muechler and Kao, \{Ting Hui\} and Rolf Stinshoff and Yang Zhang and Johannes Gooth and Nitesh Kumar and Guido Kreiner and Klaus Koepernik and Roberto Car and J{\"u}rgen K{\"u}bler and Fecher, \{Gerhard H.\} and Chandra Shekhar and Yan Sun and Claudia Felser",

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Manna, K, Muechler, L, Kao, TH, Stinshoff, R, Zhang, Y, Gooth, J, Kumar, N, Kreiner, G, Koepernik, K, Car, R, Kübler, J, Fecher, GH, Shekhar, C, Sun, Y & Felser, C 2018, 'From Colossal to Zero: Controlling the Anomalous Hall Effect in Magnetic Heusler Compounds via Berry Curvature Design', Physical Review X, vol. 8, no. 4, 041045. https://doi.org/10.1103/PhysRevX.8.041045

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AU - Manna, Kaustuv

AU - Muechler, Lukas

AU - Kao, Ting Hui

AU - Stinshoff, Rolf

AU - Zhang, Yang

AU - Gooth, Johannes

AU - Kumar, Nitesh

AU - Kreiner, Guido

AU - Koepernik, Klaus

AU - Car, Roberto

AU - Kübler, Jürgen

AU - Fecher, Gerhard H.

AU - Shekhar, Chandra

AU - Sun, Yan

AU - Felser, Claudia

PY - 2018/12/11

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N2 - 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 noncolinear 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-1 cm-1 up to 1600 Ω-1 cm-1 with an exceptionally high anomalous Hall angle up to 12%, while keeping the magnetization the same. Our study shows that the AHC can be controlled by selectively changing the Berry curvature distribution, independent of the magnetization.

AB - 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 noncolinear 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-1 cm-1 up to 1600 Ω-1 cm-1 with an exceptionally high anomalous Hall angle up to 12%, while keeping the magnetization the same. Our study shows that the AHC can be controlled by selectively changing the Berry curvature distribution, independent of the magnetization.

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

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