Erratum: Theory of spin excitations and the microwave response of cylindrical ferromagnetic nanowires [Phys. Rev. B<b>63</b>, 134439 (2001)]

Arias, Rodrigo; Mills, D. L.

doi:10.1103/physrevb.66.149903

Cited by 46 publications

(71 citation statements)

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“…The precessional mode spectrum of isolated magnetic nanowires of finite thickness has been considered analytically in Refs. [26][27][28][29][30][31]. However, with rare exceptions, 32 theories of the magnetodynamic response of MNWAs are based on the simplifying assumption that individual nanowires can be either treated as macrospins [33][34][35] or assumed to be thin compared to the exchange length.…”

Section: Introductionmentioning

confidence: 99%

Static and dynamic magnetic properties of densely packed magnetic nanowire arrays

et al. 2013

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The static and dynamic magnetic properties of magnetic nanowire arrays with high packing density (>0.4) and wire diameter much greater than the exchange length have been studied by static and time-resolved magneto-optical Kerr effect measurements and micromagnetic simulations. The nanowires were formed by electrodeposition within a nanoporous template such that their symmetry axes lay normal to the plane of the substrate. A quantitative and systematic investigation has been made of the static and dynamic properties of the array, which lie between the limiting cases of a single wire and a continuous ferromagnetic thin film. In particular, the competition between anisotropies associated with the shape of the individual nanowires and that of the array as a whole has been studied. Measured and simulated hysteresis loops are largely anhysteretic with zero remanence, and the micromagnetic configuration is such that the net magnetization vanishes in directions orthogonal to the applied field. Simulations of the remanent state reveal antiferromagnetic alignment of the magnetization in adjacent nanowires and the formation of vortex flux closure structures at the ends of each nanowire. The excitation spectra obtained from experiment and micromagnetic simulations are in qualitative agreement for magnetic fields applied both parallel and perpendicular to the axes of the nanowires. For the field parallel to the nanowire axes, there is also good quantitative agreement between experiment and simulation. The resonant frequencies are initially found to decrease as the applied field is increased from remanence. This is the result of a change of mode profile within the plane of the array from nonuniform to uniform as the ground state evolves with increasing applied field. Quantitative differences between experimental and simulated spectra are observed when the field is applied perpendicular to the nanowire axes. The dependence of the magnetic excitation spectra upon the array packing density is explored, and dispersion curves for spin waves propagating within the array parallel to the nanowire axis are presented. Finally, a tunneling of end modes through the middle region of the nanowires was observed. The tunneling is more efficient for wires forming densely packed arrays, as a result of the extended penetration of the dynamic demagnetizing fields into the middle of the wires and due to the lowering of the tunneling barrier by the static demagnetizing field of the array.

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Section: Introductionmentioning

confidence: 99%

Static and dynamic magnetic properties of densely packed magnetic nanowire arrays

et al. 2013

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“…Therefore, for a large shell the spin excitation pattern becomes quasi-one-dimensional. Moreover, the dispersion relation for a thin cylindrical nanowire also has the same form, see [9,24]. So, we can conclude that for a ferromagnetic nanosystem that is small by at least one dimension the dispersion relation is independent from the nanosystem shape.…”

Section: Discussionmentioning

confidence: 63%

“…see [9,24]. In general case, we cannot solve the equation in an analogous way, seeking the solution as a linear combination of the spherical functions.…”

Section: Equation For the Magnetic Potentialmentioning

confidence: 99%

“…Such excitations are a subject of research in magnonics [1] and spintronics [2]. In particular, spin excitations in nanoscale systems -thin ferromagnetic films [3][4][5], micron-sized magnetic quantum dots [6][7][8], nanowires [9][10][11] and other nanosystems -are studied intensively during recent years. In particular, spin-wave dispersion in nanosystems is an important area of experimental research.…”

Section: Introductionmentioning

confidence: 99%

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Dipole-exchange spin excitations in a thin ferromagnetic nanoshell

Gorobets

Kulish

2013

Open Physics

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Abstract:In this paper spin excitations in spherical ferromagnetic nanoshells are investigated. The magnetic dipoledipole interaction, the exchange interaction and the anisotropy effects are taken into consideration. For such spin excitations, an equation for the magnetic potential perturbation is obtained. For a nanoshell that is thin compared to its size, the dispersion relation for nonzero spin excitation modes and the only possible frequency for zero-mode spin excitations are found. Limitations on the mode numbers are derived. PACS

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“…Analytical models have been recently proposed to calculate the spin wave spectrum in circular and rectangular dots. [5][6][7] FMR has an edge over BLS in the precise determination of the mode positions and linewidth.…”

Section: Introductionmentioning

confidence: 99%

High-frequency characterization of Permalloy nanosized strips using network analyzer ferromagnetic resonance

Kuanr

Lopusnik

Małkiński

et al. 2008

Journal of Applied Physics

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We report on the dynamic properties of Permalloy nanostrips at gagahertz frequencies. The thickness of the strips is 100 nm, strip width is 300 nm, strip spacing is 1 m, and length is 0.3-100 m; aspect ratios are 1:1, 1:2, 1:3, 1:5, 1:10, and 1:333. The dynamic behavior was studied by network analyzer ferromagnetic resonance ͑FMR͒ using Permalloy strips on a coplanar waveguide in flip-chip geometry. The FMR mode frequencies ͑f r ͒ can be controlled by the aspect ratio as well as by the applied magnetic field ͑H͒. In longer strips ͑1:10 and 1:333͒, the excitation frequencies show a soft mode behavior ͑H eff = 990 Oe͒ when the field is along the hard axis. However, along the easy axis ͑along the strip length͒, f r increases with applied field. At a field of 3 kOe, f r values are almost independent of aspect ratio along the easy axis except for the 1:1 strip. Along the hard axis, the frequencies are strongly dependent upon the aspect ratio. We also observed that the frequency linewidths of the strips are dependent on the aspect ratio.

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Erratum: Theory of spin excitations and the microwave response of cylindrical ferromagnetic nanowires [Phys. Rev. B63, 134439 (2001)]

Cited by 46 publications

References 0 publications

Static and dynamic magnetic properties of densely packed magnetic nanowire arrays

Static and dynamic magnetic properties of densely packed magnetic nanowire arrays

Dipole-exchange spin excitations in a thin ferromagnetic nanoshell

High-frequency characterization of Permalloy nanosized strips using network analyzer ferromagnetic resonance

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