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Optically-induced real-time impurity modes are used to shepherd intrinsic localized vibrational modes (discrete breathers) along micromechanical arrays via either attractive or replulsive interactions. Adding an electrode to the cantilever…

Pattern Formation and Solitons · Physics 2009-11-10 M. Sato , B. E. Hubbard , A. J. Sievers , B. Ilic , H. G. Craighead

Both bright and dark traveling, locked, intrinsic localized modes (ILMs) have been generated with a spatially uniform driver at a frequency in the acoustic spectrum of a nonlinear micromechanical cantilever array. Complementary numerical…

Pattern Formation and Solitons · Physics 2009-11-13 M. Sato , A. J. Sievers

A method is presented for realizing logic operations in a micromechanical cantilever array based on the timed application of a lattice disturbance to control the properties of intrinsic localized modes (ILMs). The application of a specific…

Pattern Formation and Solitons · Physics 2010-01-26 M. Sato , N. Fujita , A. J. Sievers

Intrinsic Localized Modes (ILMs) or Discrete Breathers (DBs) are produced through a non-linear vibration localization phenomenon. While Anderson localization is due to lattice defects, the nonlinearity of lattices provides the basis for ILM…

Pattern Formation and Solitons · Physics 2017-09-01 Adarsh Ganesan , Cuong Do , Ashwin A. Seshia

This experimental study of driven intrinsic localized modes (ILMs) in an electronic circuit lattice with saturable nonlinearity follows the theoretical work of Hadzievski and coworkers. They proposed that a saturable nonlinearity could…

Pattern Formation and Solitons · Physics 2015-06-16 W. Shi , S. Shige , Y. Soga , M. Sato , A. J. Sievers

Experimental evidence for the generation of intrinsic localized modes (ILMs) in a nonlinear electrical transmission line is presented both via modulational instability (MI) of the uniform mode and via driving the lattice locally. The…

Pattern Formation and Solitons · Physics 2009-11-13 Ryan Stearrett , L. Q. English

Using an efficient optimal control scheme to determine the exciting fields, we theoretically demonstrate the optical creation of vibrational intrinsic localized modes (ILMs) in anharmonic perfect lattices with realistic interatomic…

Materials Science · Physics 2009-10-31 T. Roessler , J. B. Page

The experimental properties of intrinsic localized modes (ILM) have long been compared with theoretical dynamical lattice models that make use of nonlinear onsite and/or nearest neighbor intersite potentials. Here it is shown for a 1-D…

Pattern Formation and Solitons · Physics 2016-08-24 M. Sato , T. Mukaide , T. Nakaguchi , A. J. Sievers

Intrinsic localized modes (ILMs), also called discrete breathers, are directly generated via modulational instability in an array of coupled pendulums. These ILMs can be stabilized over a range of driver frequencies and amplitudes. They are…

Pattern Formation and Solitons · Physics 2009-11-13 R. Basu Thakur , L. Q. English , A. J. Sievers

Nearly steady-state locked intrinsic localized modes (ILMs) in the quasi-1d antiferromagnet (C2H5NH3)2CuCl4 are detected via four-wave mixing emission or the uniform mode absorption. Exploiting the long-time stability of these locked ILMs,…

Pattern Formation and Solitons · Physics 2007-05-23 J. P. Wrubel , M. Sato , A. J. Sievers

A theory is developed to describe the effect of an intrinsic localized mode (ILM) on small vibrations in a monatomic chain with hard quartic anharmonicity. One prediction is the appearance in the chain of linear local modes nearby the ILM.…

Pattern Formation and Solitons · Physics 2011-11-18 V. Hizhnyakov , A. Shelkan , M. Klopov , S. A. Kiselev , A. J. Sievers

We report the observation of spontaneous localization of energy in two spatial dimensions in the context of nonlinear electrical lattices. Both stationary and traveling self-localized modes were generated experimentally and theoretically in…

Pattern Formation and Solitons · Physics 2013-08-21 L. Q. English , F. Palmero , J. F. Stormes , J. Cuevas , R. Carretero-González , P. G. Kevrekidis

We have developed a formulation of density functional perturbation theory for the calculation of vibrational frequencies in molecules and solids, which uses numerical atomic orbitals as a basis set for the electronic states. The (harmonic)…

Materials Science · Physics 2007-05-23 J. M. Pruneda , S. K. Estreicher , J. Junquera , J. Ferrer , P. Ordejon

Locked intrinsic localized modes (ILMs) and large amplitude lattice spatial modes (LSMs) have been experimentally measured for a driven 1-D nonlinear cyclic electric transmission line, where the nonlinear element is a saturable capacitor.…

Pattern Formation and Solitons · Physics 2018-05-09 S. Shige , K. Miyasaka , W. Shi , Y. Soga , M. Sato , A. J. Sievers

Linear response spectra of a driven intrinsic localized mode in a micromechanical array are measured as it approaches two fundamentally different kinds of bifurcation points. A linear phase mode associated with this autoresonant state…

Pattern Formation and Solitons · Physics 2015-06-03 M. Sato , S. Imai , N. Fujita , S. Nishimura , Y. Takao , Y. Sada , B. E. Hubbard , B. Ilic , A. J. Sievers

We study localized modes on a single Ablowitz-Ladik impurity embedded in the bulk or at the surface of a one-dimensional linear lattice. Exact expressions are obtained for the bound state profile and energy. Dynamical excitation of the…

Exactly Solvable and Integrable Systems · Physics 2009-11-13 M. I. Molina

Intrinsic localized modes (ILMs) in a quasi-1D antiferromagnetic material (C2H5NH3)2CuCl4 are counted by using a novel nonlinear energy magnetometer. The ILMs are produced by driving the uniform spin wave mode unstable with an intense…

Pattern Formation and Solitons · Physics 2009-11-11 M. Sato , A. J. Sievers

Analytical theory of large size intrinsic localized modes (ILMs) in anharmonic two-atomic chain is presented. It is shown that ILMs with frequencies close to the borders of phonon gap are govern by quartic anharmonicity while the effect of…

Materials Science · Physics 2017-12-05 Vladimir Hizhnyakov

It is well known that a moving intrinsic localized mode (ILM) in a nonlinear physical lattice looses energy because of the resonance between it and the underlying small amplitude plane wave spectrum. By exploring the Fourier transform (FT)…

Pattern Formation and Solitons · Physics 2015-10-08 M. Sato , T. Nakaguchi , T. Ishikawa , S. Shige , Y. Soga , Y. Doi , A. J. Sievers

We consider periodically driven potential impurities coupled to the surface states of a two-dimensional topological insulator. The problem is addressed by means of two models, out which the first model is an effective continuum Hamiltonian…

Strongly Correlated Electrons · Physics 2019-10-02 Saurabh Pradhan , Jonas Fransson
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