Dzyaloshinskii-Moriya Interaction and Hall Effects in the Skyrmion Phase of Mn1-xFexGe

J. Gayles; F. Freimuth; T. Schena; G. Lani; P. Mavropoulos; R. A. Duine; S. Bluegel; J. Sinova; Y. Mokrousov

doi:10.1103/PhysRevLett.115.036602

Dzyaloshinskii-Moriya Interaction and Hall Effects in the Skyrmion Phase of Mn1-xFexGe

J. Gayles^*, F. Freimuth, T. Schena, G. Lani, P. Mavropoulos, R. A. Duine, S. Bluegel, J. Sinova, Y. Mokrousov

^*Corresponding author for this work

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

Abstract

We carry out density functional theory calculations which demonstrate that the electron dynamics in the Skyrmion phase of Fe-rich Mn1-xFexGe alloys is governed by Berry phase physics. We observe that the magnitude of the Dzyaloshinskii-Moriya interaction directly related to the mixed space-momentum Berry phases, changes sign and magnitude with concentration x in direct correlation with the data of Shibata et al. [Nat. Nanotechnol. 8, 723 (2013)]. The computed anomalous and topological Hall effects in FeGe are also in good agreement with available experiments. We further develop a simple tight-binding model able to explain these findings. Finally, we show that the adiabatic Berry phase picture is violated in the Mn-rich limit of the alloys.

Original language	English
Article number	036602
Number of pages	6
Journal	Physical Review Letters
Volume	115
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevLett.115.036602
Publication status	Published - 14 Jul 2015

Funding

We acknowledge the financial support from the NSF Grant No. DMR-1105512, the Alexander Von Humboldt Foundation, the HGF Programme No. VH-NG 513, and No. DFG SPP 1538. R. D. is supported by the Stichting voor Fundamenteel Onderzoek der Materie (FOM) and is part of the D-ITP consortium, a program of the Netherlands Organisation for Scientific Research (NWO) that is funded by the Dutch Ministry of Education, Culture and Science (OCW). We also gratefully acknowledge Julich Supercomputing Centre and RWTH Aachen University for providing computational resources.

Keywords

SPIN-DENSITY WAVE
MAGNETIC SKYRMIONS
MNSI
APPROXIMATION
CRYSTALS
LATTICE
METALS

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title = "Dzyaloshinskii-Moriya Interaction and Hall Effects in the Skyrmion Phase of Mn1-xFexGe",

abstract = "We carry out density functional theory calculations which demonstrate that the electron dynamics in the Skyrmion phase of Fe-rich Mn1-xFexGe alloys is governed by Berry phase physics. We observe that the magnitude of the Dzyaloshinskii-Moriya interaction directly related to the mixed space-momentum Berry phases, changes sign and magnitude with concentration x in direct correlation with the data of Shibata et al. [Nat. Nanotechnol. 8, 723 (2013)]. The computed anomalous and topological Hall effects in FeGe are also in good agreement with available experiments. We further develop a simple tight-binding model able to explain these findings. Finally, we show that the adiabatic Berry phase picture is violated in the Mn-rich limit of the alloys.",

keywords = "SPIN-DENSITY WAVE, MAGNETIC SKYRMIONS, MNSI, APPROXIMATION, CRYSTALS, LATTICE, METALS",

author = "J. Gayles and F. Freimuth and T. Schena and G. Lani and P. Mavropoulos and Duine, {R. A.} and S. Bluegel and J. Sinova and Y. Mokrousov",

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doi = "10.1103/PhysRevLett.115.036602",

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AU - Gayles, J.

AU - Freimuth, F.

AU - Schena, T.

AU - Lani, G.

AU - Mavropoulos, P.

AU - Duine, R. A.

AU - Bluegel, S.

AU - Sinova, J.

AU - Mokrousov, Y.

PY - 2015/7/14

Y1 - 2015/7/14

N2 - We carry out density functional theory calculations which demonstrate that the electron dynamics in the Skyrmion phase of Fe-rich Mn1-xFexGe alloys is governed by Berry phase physics. We observe that the magnitude of the Dzyaloshinskii-Moriya interaction directly related to the mixed space-momentum Berry phases, changes sign and magnitude with concentration x in direct correlation with the data of Shibata et al. [Nat. Nanotechnol. 8, 723 (2013)]. The computed anomalous and topological Hall effects in FeGe are also in good agreement with available experiments. We further develop a simple tight-binding model able to explain these findings. Finally, we show that the adiabatic Berry phase picture is violated in the Mn-rich limit of the alloys.

AB - We carry out density functional theory calculations which demonstrate that the electron dynamics in the Skyrmion phase of Fe-rich Mn1-xFexGe alloys is governed by Berry phase physics. We observe that the magnitude of the Dzyaloshinskii-Moriya interaction directly related to the mixed space-momentum Berry phases, changes sign and magnitude with concentration x in direct correlation with the data of Shibata et al. [Nat. Nanotechnol. 8, 723 (2013)]. The computed anomalous and topological Hall effects in FeGe are also in good agreement with available experiments. We further develop a simple tight-binding model able to explain these findings. Finally, we show that the adiabatic Berry phase picture is violated in the Mn-rich limit of the alloys.

KW - SPIN-DENSITY WAVE

KW - MAGNETIC SKYRMIONS

KW - MNSI

KW - APPROXIMATION

KW - CRYSTALS

KW - LATTICE

KW - METALS

U2 - 10.1103/PhysRevLett.115.036602

DO - 10.1103/PhysRevLett.115.036602

M3 - Article

SN - 0031-9007

VL - 115

JO - Physical Review Letters

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IS - 3

M1 - 036602

ER -

Dzyaloshinskii-Moriya Interaction and Hall Effects in the Skyrmion Phase of Mn1-xFexGe

Abstract

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Keywords

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