Nonlinear nanoscale localization of magnetic excitations in atomic lattices

Lai, Ruilin; Sievers, A. J.

doi:10.1016/s0370-1573(98)00090-8

Cited by 84 publications

(61 citation statements)

References 92 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…11͑b͒. Thus, the singlepeaked mode is more stable than the double peaked mode, in agreement with the early studies of stationary and moving ILMs in antiferromagnets 14 which have both anharmonic intrasite and intersite potentials.…”

Section: Discussionsupporting

confidence: 88%

“…1 In addition to theoretical and numerical studies involving nonlinear crystal dynamics, 2-7 applications to other topics have appeared such as magnetic systems, [8][9][10][11][12][13][14][15][16][17] electron-phonon systems, 18,19 reaction dynamics, 20 molecular biophysics, 21,22 and latticeassisted energy/charge transfer in polarizable matter. 23 Some of these efforts devoted to examining the nonlinear dynamics of nanoscale lattices have made contact with other possible applications for ILMs such as in friction 24 and crack propagation.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Study of intrinsic localized vibrational modes in micromechanical oscillator arrays

Satō

Hubbard

English

et al. 2003

Chaos: An Interdisciplinary Journal of Nonlinear Science

103

View full text Add to dashboard Cite

Intrinsic localized modes ͑ILMs͒ have been observed in micromechanical cantilever arrays, and their creation, locking, interaction, and relaxation dynamics in the presence of a driver have been studied. The micromechanical array is fabricated in a 300 nm thick silicon-nitride film on a silicon substrate, and consists of up to 248 cantilevers of two alternating lengths. To observe the ILMs in this experimental system a line-shaped laser beam is focused on the 1D cantilever array, and the reflected beam is captured with a fast charge coupled device camera. The array is driven near its highest frequency mode with a piezoelectric transducer. Numerical simulations of the nonlinear Klein-Gordon lattice have been carried out to assist with the detailed interpretation of the experimental results. These include pinning and locking of the ILMs when the driver is on, collisions between ILMs, low frequency excitation modes of the locked ILMs and their relaxation behavior after the driver is turned off. © 2003 American Institute of Physics. ͓DOI: 10.1063/1.1540771͔An advance of the theory of nonlinear excitations in discrete lattices was the discovery that some localized vibrations in perfectly periodic but nonintegrable lattices could be stabilized by lattice discreteness. The modulational instability of extended large amplitude vibrational modes has been proposed as a mechanism for the realization of dynamical localization on the scale of the lattice constant. Although theoretically a variety of methods to excite the instability of a homogeneous vibrational mode have been proposed, these ideas have yet to be tested experimentally. Since the observation of nanoscale localized vibrational modes still cannot be achieved there is definite advantage to examining a macroscopic array, which is small enough so that the entire time dependence of the instability dynamics occurs in a practical measurement interval. This has been accomplished by using micromechanical silicon technology to fabricate up to 248 identical cantilevers with a 40 micron lattice constant. Optical techniques have been used to track the motion of individual cantilevers in the presence of an inertial driver. In addition to experimentally characterizing the modulational instability and identifying the best method for producing intrinsic localized modes a new discovery is the locking of the local mode amplitude with the driver frequency. Numerical simulations have been used to better understand the nature of this synchronization effect.

show abstract

Section: Discussionsupporting

confidence: 88%

Section: Introductionmentioning

confidence: 99%

Study of intrinsic localized vibrational modes in micromechanical oscillator arrays

Satō

Hubbard

English

et al. 2003

Chaos: An Interdisciplinary Journal of Nonlinear Science

103

View full text Add to dashboard Cite

show abstract

“…7 Below a Néel temperature T N = 10.2 K for ͑C 2 H 5 NH 3 ͒ 2 CuCl 4 the spin 1 / 2 Cu 2+ ions are oriented along the a-crystal axis, in alternating sheets of strong ferromagnetically coupled spins with a weak antiferromagnetic coupling between adjacent sheets 21,22 as illustrated in Fig. 1.…”

Section: A Antiferromagnetic Resonance Sample Geometrymentioning

confidence: 99%

“…[5][6][7][8][9] The few experimental demonstrations of this intrinsic nonlinear localization effect have relied on macroscopic lattices to make visual inspection of intrinsic localized modes ͑ILMs͒ possible. [10][11][12][13] The four exceptions are for ͑1͒ a charge transfer solid PtCl, 14,15 where analysis of resonance Raman spectra was interpreted in terms of ILMs, ͑2͒ a quasi-onedimensional ͑1D͒ antiferromagnetic chain, 16,17 where a high power microwave source was used to produce spin ILMs out of equilibrium, ͑3͒ a long lived amide I band in myoglobin, which was studied by infrared pump-probe measurements, 18 and ͑4͒ bcc 4 He, 19 where inelastic neutron scattering was found to show an anomalous opticlike mode for this monatomic crystal.…”

Section: Introductionmentioning

confidence: 99%

Counting discrete emission steps from intrinsic localized modes in a quasi-one-dimensional antiferromagnetic lattice

Satō

Sievers

2005

Phys. Rev. B

View full text Add to dashboard Cite

Intrinsic localized modes ͑ILMs͒ in a quasi-1D antiferromagnetic material ͑C 2 H 5 NH 3 ͒ 2 CuCl 4 are counted by using a novel nonlinear energy magnetometer. The ILMs are produced by driving the uniform spin wave mode unstable with an intense microwave pulse. Subsequently a subset of these ILMs become captured by and locked to a cw driver so that their properties can be examined at a later time with a tunable cw low power probe source. Four-wave mixing is used to enhance the emission signal from the few large amplitude ILMs over that associated with the many small amplitude plane wave modes. A discrete step structure observed in the emission signal is identified with individual ILMs becoming unlocked from the driver. At most driver power and frequency settings the resulting emission step structure appears uniformly distributed; however, sometimes, nearby in parameter space, families of emission steps are evident as the driver frequency or power is varied. Two different experimental methods give consistent results for counting individual ILMs. Because of the discreteness in the emission both the size of an ILM and its energy can be estimated from these experiments. For the uniformly distributed case each ILM extends over ϳ42 antiferromagnetic unit cells and has an energy value of 1.3ϫ 10 −12 J while for the case with families the ILM length becomes ϳ54 antiferromagnetic unit cells with an energy of 1.5ϫ 10 −12 J. An unresolved puzzle is that the emission step height does not depend on experimental parameters the way classical numerical simulations suggest.

show abstract

“…The anharmonic localization in lattices occupies a special place among other nonlinear wave phenomena. The discrete breathers (DBs) (also know as intrinsic localized modes) [15][16][17][18][19][20][21] are time-periodic and spatially localized excitations. Unlike their continuum counterparts that normally exist only in the integrable systems [22], discrete breathers can exist in discrete media that are not necessarily described by the integrable equations.…”

Section: Introductionmentioning

confidence: 99%

Discrete breathers in an one-dimensional array of magnetic dots

Pylypchuk

Zolotaryuk

2015

Low Temperature Physics

View full text Add to dashboard Cite

The dynamics of the one-dimensional array of magnetic particles (dots) with the easy-plane anisotropy is investigated. The particles interact with each other via the magnetic dipole interaction and the whole system is governed by the set of Landau-Lifshitz equations. The spatially localized and time-periodic solutions known as discrete breathers (or intrinsic localized modes) are identified. These solutions have no analogue in the continuum limit and consist of the core where the magnetization vectors precess around the hard axis and the tails where the magnetization vectors oscillate around the equilibrium position.

show abstract

Nonlinear nanoscale localization of magnetic excitations in atomic lattices

Cited by 84 publications

References 92 publications

Study of intrinsic localized vibrational modes in micromechanical oscillator arrays

Study of intrinsic localized vibrational modes in micromechanical oscillator arrays

Counting discrete emission steps from intrinsic localized modes in a quasi-one-dimensional antiferromagnetic lattice

Discrete breathers in an one-dimensional array of magnetic dots

Contact Info

Product

Resources

About