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Title: Vortex circulation patterns in planar microdisk arrays

Abstract

We report a magnetic X-ray microscopy study of the pattern formation of circulation in arrays of magnetic vortices ordered in a hexagonal and a honeycomb lattice. In the honeycomb lattice, we observe at remanence an ordered phase of alternating circulations, whereas in the hexagonal lattice, small regions of alternating lines form. A variation in the edge-to-edge distance shows that the size of those regions scales with the magnetostatic interaction. Micromagnetic simulations reveal that the patterns result from the formation of flux closure states during the nucleation process.

Authors:
 [1];  [2]; ORCiD logo [2];  [3];  [4];  [2];  [2];  [5];  [6];  [3]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of Hamburg (Germany)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Univ. of California, Santa Cruz, CA (United States)
  4. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); Daegu Gyeongbuk Inst. of Science and Technology, Daegu (South Korea, Republic of)
  5. Univ. of Hamburg (Germany)
  6. Max-Planck Institute for the Structure and Dynamics of Matter, Hamburg (Germany)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1439220
Alternate Identifier(s):
OSTI ID: 1371495
Grant/Contract Number:  
AC02-05CH11231; AC02-05- CH11231; AC02-05-CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Applied Physics Letters
Additional Journal Information:
Journal Volume: 110; Journal Issue: 26; Related Information: © 2017 Author(s).; Journal ID: ISSN 0003-6951
Publisher:
American Institute of Physics (AIP)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Velten, Sven, Streubel, Robert, Farhan, Alan, Kent, Noah, Im, Mi-Young, Scholl, Andreas, Dhuey, Scott, Behncke, Carolin, Meier, Guido, and Fischer, Peter. Vortex circulation patterns in planar microdisk arrays. United States: N. p., 2017. Web. doi:10.1063/1.4990990.
Velten, Sven, Streubel, Robert, Farhan, Alan, Kent, Noah, Im, Mi-Young, Scholl, Andreas, Dhuey, Scott, Behncke, Carolin, Meier, Guido, & Fischer, Peter. Vortex circulation patterns in planar microdisk arrays. United States. doi:10.1063/1.4990990.
Velten, Sven, Streubel, Robert, Farhan, Alan, Kent, Noah, Im, Mi-Young, Scholl, Andreas, Dhuey, Scott, Behncke, Carolin, Meier, Guido, and Fischer, Peter. Mon . "Vortex circulation patterns in planar microdisk arrays". United States. doi:10.1063/1.4990990. https://www.osti.gov/servlets/purl/1439220.
@article{osti_1439220,
title = {Vortex circulation patterns in planar microdisk arrays},
author = {Velten, Sven and Streubel, Robert and Farhan, Alan and Kent, Noah and Im, Mi-Young and Scholl, Andreas and Dhuey, Scott and Behncke, Carolin and Meier, Guido and Fischer, Peter},
abstractNote = {We report a magnetic X-ray microscopy study of the pattern formation of circulation in arrays of magnetic vortices ordered in a hexagonal and a honeycomb lattice. In the honeycomb lattice, we observe at remanence an ordered phase of alternating circulations, whereas in the hexagonal lattice, small regions of alternating lines form. A variation in the edge-to-edge distance shows that the size of those regions scales with the magnetostatic interaction. Micromagnetic simulations reveal that the patterns result from the formation of flux closure states during the nucleation process.},
doi = {10.1063/1.4990990},
journal = {Applied Physics Letters},
number = 26,
volume = 110,
place = {United States},
year = {2017},
month = {6}
}

Journal Article:
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Cited by: 2 works
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Figures / Tables:

FIG. 1 FIG. 1: Scanning electron micrographs of the vortex lattices with the edget-o-edge distance de = 70 nm for the (a) hexagonal lattice and (b) honeycomb lattice. The illustrated symmetry directions [10] and [01] are valid for both lattices. The mid-inset illustrates the X-ray wavevector component $\vec{k}$xrays lying in the samplemore » plane. An external magnetic field $\vec{H}$sat is applicable, oriented along the directions [10] and [01]. Scale bars indicate 1 μm. Schematics of the magnetic ground state at remanence in the (c) hexagonal and (d) honeycomb disk arrays. In both cases, the circulation states (either clockwise or counter-clockwise) of the vortices form patterns. (e) Micromagnetic simulation of a diagonal vortex pair with a decreasing external field Hext from a magnitude much bigger than the nucleation field Hn (left picture) to remanence (right). Also shown is the nucleation state (middle). The local magnetization is illustrated by a white arrow and the colorized disk with a red (parallel to $\vec{k}$, as indicated in the mid-inset above) to blue (antiparallel) contrast. Positive and negative magnetic surface charges are highlighted by red and blue shadows, respectively.« less

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