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Title: Magnonic band structure, complete bandgap, and collective spin wave excitation in nanoscale two-dimensional magnonic crystals

Abstract

We present the observation of a complete bandgap and collective spin wave excitation in two-dimensional magnonic crystals comprised of arrays of nanoscale antidots and nanodots, respectively. Considering that the frequencies dealt with here fall in the microwave band, these findings can be used for the development of suitable magnonic metamaterials and spin wave based signal processing. We also present the application of a numerical procedure, to compute the dispersion relations of spin waves for any high symmetry direction in the first Brillouin zone. The results obtained from this procedure have been reproduced and verified by the well established plane wave method for an antidot lattice, when magnetization dynamics at antidot boundaries are pinned. The micromagnetic simulation based method can also be used to obtain iso–frequency contours of spin waves. Iso–frequency contours are analogous of the Fermi surfaces and hence, they have the potential to radicalize our understanding of spin wave dynamics. The physical origin of bands, partial and full magnonic bandgaps have been explained by plotting the spatial distribution of spin wave energy spectral density. Although, unfettered by rigid assumptions and approximations, which afflict most analytical methods used in the study of spin wave dynamics, micromagnetic simulations tend to bemore » computationally demanding. Thus, the observation of collective spin wave excitation in the case of nanodot arrays, which can obviate the need to perform simulations, may also prove to be valuable.« less

Authors:
; ;  [1]
  1. Faculty of Physics, Adam Mickiewicz University in Poznan, Umultowska 85, Poznań 61-614 (Poland)
Publication Date:
OSTI Identifier:
22275632
Resource Type:
Journal Article
Journal Name:
Journal of Applied Physics
Additional Journal Information:
Journal Volume: 115; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-8979
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 77 NANOSCIENCE AND NANOTECHNOLOGY; APPROXIMATIONS; BRILLOUIN ZONES; COMPUTERIZED SIMULATION; CRYSTALS; DISPERSION RELATIONS; ELECTRONIC STRUCTURE; EXCITATION; FERMI LEVEL; MAGNETIZATION; MAGNONS; MICROWAVE RADIATION; QUANTUM DOTS; SPATIAL DISTRIBUTION; SPIN WAVES; TWO-DIMENSIONAL CALCULATIONS; WAVE PROPAGATION

Citation Formats

Kumar, D., Barman, A., E-mail: abarman@bose.res.in, Kłos, J. W., and Krawczyk, M. Magnonic band structure, complete bandgap, and collective spin wave excitation in nanoscale two-dimensional magnonic crystals. United States: N. p., 2014. Web. doi:10.1063/1.4862911.
Kumar, D., Barman, A., E-mail: abarman@bose.res.in, Kłos, J. W., & Krawczyk, M. Magnonic band structure, complete bandgap, and collective spin wave excitation in nanoscale two-dimensional magnonic crystals. United States. doi:10.1063/1.4862911.
Kumar, D., Barman, A., E-mail: abarman@bose.res.in, Kłos, J. W., and Krawczyk, M. Tue . "Magnonic band structure, complete bandgap, and collective spin wave excitation in nanoscale two-dimensional magnonic crystals". United States. doi:10.1063/1.4862911.
@article{osti_22275632,
title = {Magnonic band structure, complete bandgap, and collective spin wave excitation in nanoscale two-dimensional magnonic crystals},
author = {Kumar, D. and Barman, A., E-mail: abarman@bose.res.in and Kłos, J. W. and Krawczyk, M.},
abstractNote = {We present the observation of a complete bandgap and collective spin wave excitation in two-dimensional magnonic crystals comprised of arrays of nanoscale antidots and nanodots, respectively. Considering that the frequencies dealt with here fall in the microwave band, these findings can be used for the development of suitable magnonic metamaterials and spin wave based signal processing. We also present the application of a numerical procedure, to compute the dispersion relations of spin waves for any high symmetry direction in the first Brillouin zone. The results obtained from this procedure have been reproduced and verified by the well established plane wave method for an antidot lattice, when magnetization dynamics at antidot boundaries are pinned. The micromagnetic simulation based method can also be used to obtain iso–frequency contours of spin waves. Iso–frequency contours are analogous of the Fermi surfaces and hence, they have the potential to radicalize our understanding of spin wave dynamics. The physical origin of bands, partial and full magnonic bandgaps have been explained by plotting the spatial distribution of spin wave energy spectral density. Although, unfettered by rigid assumptions and approximations, which afflict most analytical methods used in the study of spin wave dynamics, micromagnetic simulations tend to be computationally demanding. Thus, the observation of collective spin wave excitation in the case of nanodot arrays, which can obviate the need to perform simulations, may also prove to be valuable.},
doi = {10.1063/1.4862911},
journal = {Journal of Applied Physics},
issn = {0021-8979},
number = 4,
volume = 115,
place = {United States},
year = {2014},
month = {1}
}