Giant Berry curvature dipole density in a ferroelectric Weyl semimetal

Abstract The nonlinear Hall effect (NLHE) reflects Berry-curvature-related properties in non-centrosymmetric but time-reversal-symmetric materials. So far, the NLHE of the investigated systems remains a tiny effect due to the lack of Weyl point as magnetic monopoles in 2D systems or to the high carr...

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Main Authors: Cheng-Long Zhang, Tian Liang, Yoshio Kaneko, Naoto Nagaosa, Yoshinori Tokura
Format: Article
Language:English
Published: Nature Portfolio 2022-10-01
Series:npj Quantum Materials
Online Access:https://doi.org/10.1038/s41535-022-00512-z
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author Cheng-Long Zhang
Tian Liang
Yoshio Kaneko
Naoto Nagaosa
Yoshinori Tokura
author_facet Cheng-Long Zhang
Tian Liang
Yoshio Kaneko
Naoto Nagaosa
Yoshinori Tokura
author_sort Cheng-Long Zhang
collection DOAJ
description Abstract The nonlinear Hall effect (NLHE) reflects Berry-curvature-related properties in non-centrosymmetric but time-reversal-symmetric materials. So far, the NLHE of the investigated systems remains a tiny effect due to the lack of Weyl point as magnetic monopoles in 2D systems or to the high carrier concentration in 3D systems. Here, we report large NLHE due to gigantic Berry curvature dipole density as generated by tilted Weyl cones near the Fermi level in a model ferroelectric Weyl semimetal In-doped Pb1−x Sn x Te. By systematically lowering the carrier concentration down to ~1016 cm−3, the Berry curvature dipole density reaches values around 10−21 m3, 102–107 times higher than the previously reported ones. Furthermore, NLHE exhibits a power law of carrier concentration and follows the k −2 relation of the Berry curvature expression derived from the monopole. The present study establishes giant NLHE in a ferroelectric Weyl semimetal, promising for future applications such as current rectification.
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spelling doaj.art-b9e24e262a6846d79982df27469f13582022-12-22T04:31:56ZengNature Portfolionpj Quantum Materials2397-46482022-10-01711610.1038/s41535-022-00512-zGiant Berry curvature dipole density in a ferroelectric Weyl semimetalCheng-Long Zhang0Tian Liang1Yoshio Kaneko2Naoto Nagaosa3Yoshinori Tokura4RIKEN Center for Emergent Matter Science (CEMS)RIKEN Center for Emergent Matter Science (CEMS)RIKEN Center for Emergent Matter Science (CEMS)RIKEN Center for Emergent Matter Science (CEMS)RIKEN Center for Emergent Matter Science (CEMS)Abstract The nonlinear Hall effect (NLHE) reflects Berry-curvature-related properties in non-centrosymmetric but time-reversal-symmetric materials. So far, the NLHE of the investigated systems remains a tiny effect due to the lack of Weyl point as magnetic monopoles in 2D systems or to the high carrier concentration in 3D systems. Here, we report large NLHE due to gigantic Berry curvature dipole density as generated by tilted Weyl cones near the Fermi level in a model ferroelectric Weyl semimetal In-doped Pb1−x Sn x Te. By systematically lowering the carrier concentration down to ~1016 cm−3, the Berry curvature dipole density reaches values around 10−21 m3, 102–107 times higher than the previously reported ones. Furthermore, NLHE exhibits a power law of carrier concentration and follows the k −2 relation of the Berry curvature expression derived from the monopole. The present study establishes giant NLHE in a ferroelectric Weyl semimetal, promising for future applications such as current rectification.https://doi.org/10.1038/s41535-022-00512-z
spellingShingle Cheng-Long Zhang
Tian Liang
Yoshio Kaneko
Naoto Nagaosa
Yoshinori Tokura
Giant Berry curvature dipole density in a ferroelectric Weyl semimetal
npj Quantum Materials
title Giant Berry curvature dipole density in a ferroelectric Weyl semimetal
title_full Giant Berry curvature dipole density in a ferroelectric Weyl semimetal
title_fullStr Giant Berry curvature dipole density in a ferroelectric Weyl semimetal
title_full_unstemmed Giant Berry curvature dipole density in a ferroelectric Weyl semimetal
title_short Giant Berry curvature dipole density in a ferroelectric Weyl semimetal
title_sort giant berry curvature dipole density in a ferroelectric weyl semimetal
url https://doi.org/10.1038/s41535-022-00512-z
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AT yoshiokaneko giantberrycurvaturedipoledensityinaferroelectricweylsemimetal
AT naotonagaosa giantberrycurvaturedipoledensityinaferroelectricweylsemimetal
AT yoshinoritokura giantberrycurvaturedipoledensityinaferroelectricweylsemimetal