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Periodic chiral magnetic domains in single-crystal nickel nanowires

Jimmy J. Kan, Marko V. Lubarda, Keith T. Chan, Vojtěch Uhlíř, Andreas Scholl, Vitaliy Lomakin, and Eric E. Fullerton
Phys. Rev. Materials 2, 064406 – Published 18 June 2018

Abstract

We report on experimental and computational investigations of the domain structure of single-crystal Ni nanowires (NWs). The 200×200×8000nm3 Ni NWs were grown by a thermal chemical vapor deposition technique that results in single-crystal structures. Magnetoresistance measurements of individual NWs suggest the average magnetization points largely off the NW long axis at zero field. X-ray photoemission electron microscopy images obtained at room temperature show a well-defined periodic magnetization pattern along the surface of the nanowires with a period of λavg=239±37nm. Finite element micromagnetic simulations reveal that when the material parameters of the modeled system match those of nickel crystal at T=10K, an oscillatory magnetization configuration with a period closely matching experimental observation (λ=222nm) is obtainable at remanence. This magnetization configuration involves a periodic array of alternating chirality vortex domains distributed along the length of the NW. Vortex formation is attributable to the relatively high cubic anisotropy of the single crystal Ni NW system at T=10K and its reduced structural dimensions. The periodic alternating chirality vortex state is a topologically protected metastable state, analogous to an array of 360° domain walls in a thin strip. Simulations show that other remanent states are also possible, depending on the field history. At room temperature (T=273K), simulations show vortices are no longer stable due to the expected reduced cubic anisotropy of the system, suggesting a disparity between the fabricated and modeled nanowires. Negative uniaxial anisotropy and magnetoelastic effects in the presence of compressive biaxial strain are shown to promote and restore formation of vortices at room temperature.

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  • Received 8 December 2017

DOI:https://doi.org/10.1103/PhysRevMaterials.2.064406

©2018 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

Jimmy J. Kan1,*, Marko V. Lubarda1,2, Keith T. Chan1,†, Vojtěch Uhlíř3, Andreas Scholl4, Vitaliy Lomakin1, and Eric E. Fullerton1

  • 1Center for Memory and Recording Research, University of California San Diego, 95000 Gilman Drive, La Jolla, California 92093-0401, USA
  • 2Faculty of Polytechnics, University of Donja Gorica, Oktoih 1, 81000 Podgorica, Montenegro
  • 3CEITEC BUT, Brno University of Technology, Purkyňova 123, 612 00 Brno, Czech Republic
  • 4Advanced Light Source, Lawrence Berkeley National Laboratory (LBNL), 1 Cyclotron Road, Berkeley, California 94720, USA

  • *Current affiliation: Anzu Partners, LLC, La Jolla, California 92037, USA.
  • Current affiliation: Global Forecasting, Gartner, Inc., Stamford, Connecticut 06902, USA.

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Issue

Vol. 2, Iss. 6 — June 2018

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Images

  • Figure 1
    Figure 1

    Transmission electron microscopy images and electron diffraction patterns of a Ni NW after transfer to TEM grid.

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  • Figure 2
    Figure 2

    (a) Diagram of Ni NW structure with crystalline axes indicated. Eight equivalent 111 axes exist. (b) Experimentally measured AMR of Ni NW at T=10K, and AMR obtained from micromagnetic simulations at the same temperature.

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  • Figure 3
    Figure 3

    (a) Description of the experimental geometry for imaging, with x-rays impinging the Ni NW at a polar angle of 30° relative to the xy plane, and an azimuthal angle of 8° relative to the transverse NW axis. (b) XAS and XMCP spectra from the Ni NW.

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  • Figure 4
    Figure 4

    (a) XAS image of an as-grown Ni NW. (b) XMCD image of the Ni NW with magnetic contrast at T=293K. (c) Horizontal line scans of wire and shadow images with XMCD contrast. (d) Box plot of λavg for 13 Ni NWs that were imaged by PEEM and box-plot of λ values obtained from the single Ni NW shown in (a)–(c).

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  • Figure 5
    Figure 5

    XMCD images showing a variability in magnetic contrast patterns for Ni NWs that have been exposed to an external magnetic field of 4–5 kOe at T=293K. For various wires we observe (a) periodically oscillating magnetization, (b) nonperiodically oscillating magnetization, and (c) longitudinally uniform magnetization.

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  • Figure 6
    Figure 6

    Magnetization configurations of Ni NW at T=10K obtained by micromagnetic simulations. (a) Saturated state with magnetization uniformly pointing in x direction in the presence of a saturating magnetic field of 10 kOe. (b) Oscillatory precursor state with a period of λ=222nm, which develops when the field is gradually reduced from its saturating value (10 kOe) to 2.5 kOe. (c) Periodic alternating chirality vortex state with period of λ=222nm that evolves from a precursor state if the applied field is abruptly removed. (d) Uniform chirality vortex state obtained from a precursor state following gradual reduction of applied field from 2.5 kOe to zero.

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  • Figure 7
    Figure 7

    Exploded cross-sectional view of the micromagnetic configuration of the Ni NW, incrementing in distance along the wire axis showing a half-period of oscillation. Arrows clarify the chirality of vortex domains within the NW cross sections along the length of the NW in the periodically alternating chirality vortex state. An xy projection of the spins is shown, but all arrows have a component along the wire axis (towards the reader), i.e., all vortex domains have the same polarity. The transition between left- and right-handed configurations involves simultaneous expulsion and nucleation of opposite chirality vortex cores at opposite corners of the NW.

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  • Figure 8
    Figure 8

    Magnetization configuration at the NW end.

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  • Figure 9
    Figure 9

    Nonperiodic alternating chirality vortex state at T=10K obtained when the saturating field is abruptly cut off at saturation (10kOe).

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  • Figure 10
    Figure 10

    Remanent largely uniform longitudinally magnetized domain state obtained at T=273K with bulk magnetic properties.

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  • Figure 11
    Figure 11

    Alternating chirality vortex domains obtained at T=273K following the abrupt removal of the saturating field at saturation (10kOe), in the presence of negative uniaxial anisotropy, with energy density constants (a) Ku=0.01 and (b) 1.0Merg/cm3.

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  • Figure 12
    Figure 12

    Alternating chirality vortex domains obtained at T=273K following the abrupt removal of the saturating field at saturation (10kOe), in the presence of uniform biaxial compressive strain ɛ=0.05, assuming magnetostrictive constants λ111=24×106 and λ100=46×106, and Young's modulus E=200GPa, typical of nickel.

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  • Figure 13
    Figure 13

    Periodic array of domains obtained in the presence of negative uniaxial anisotropy (Ku=1.0Merg/cm3) at reduced saturation magnetization of MS=250emu/cm3.

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