Self-consistent theory of intrinsic localized modes: Application to monatomic chain

Hizhnyakov, V.; Shelkan, A.; Klopov, M.

doi:10.1016/j.physleta.2006.04.064

Cited by 8 publications

(13 citation statements)

References 25 publications

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“…Therefore it is of interest to develop other methods which would allow to reduce the amount of numerical computations. This possibility is given by proposed in [16,36] mean field theory which allows one to calculate DBs in macroscopically large lattices of arbitrary dimension.…”

Section: Mean Field Theory Of Discrete Breathersmentioning

confidence: 99%

“…Following [16,36] we present the equation of motion of an atom of number n with mass M n in an anharmonic lattice in the form…”

Section: Mean Field Theory Of Discrete Breathersmentioning

confidence: 99%

“…The amplitudes and shifts are remarkably different from zero for n close to the localization centrum at n = 0. The idea of the mean-field theory [16,36] is to consider the infinitesimal change of a DB in time q n (t) =u n (t)dt. This change satisfies the linear equation of motion…”

Section: Mean Field Theory Of Discrete Breathersmentioning

confidence: 99%

“…The number of the actual bond amplitudes may be still reduced taking into account the symmetry of the considered DB, thus only a few amplitudes must be found self-consistently in the real calculations. Using the presented theory, DBs have been calculated for some model systems [16][17][18]36] and have been predicted for Ni and Nb [10]. Below we apply it to discuss DBs with the frequencies above the top of the phonon band.…”

Section: Mean Field Theory Of Discrete Breathersmentioning

confidence: 99%

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Standing and Moving Discrete Breathers with Frequencies Above the Phonon Spectrum

et al. 2015

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It is found that discrete breathers with frequencies above the top of the phonon spectrum may exist in some metals (Ni, Fe, Cu) and semiconductors (Ge, diamond). It is shown that these excitations in metals may propagate in crystals along crystallographic directions transferring energy of 1 eV over large distances. IntroductionIt is well known already for few decades that anharmonicity of crystal lattices may result in long living small size vibrational excitations of rather high energy. These excitations are usually called as discrete breathers (DBs), intrinsic localized modes, vibrational solitons, or quodons [1-3, 7-9, 11, 12, 22, 24, 25, 27, 31-35, 37, 38]. In numerical studies of DBs different two-body potential models (Lennard-Jones, BornMayer-Coulomb, Toda, and Morse potentials and their combinations) have been used. All these potentials show strong softening at increasing vibrational amplitudes. The DBs, found in such simulations, always drop down from the optical band(s) into the phonon gap, if such a gap exists in the spectrum (see [20,21,23], where DBs have been studied in the alkali halide crystals). Consequently, it has been assumed that the

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Section: Mean Field Theory Of Discrete Breathersmentioning

confidence: 99%

“…Following [16,36] we present the equation of motion of an atom of number n with mass M n in an anharmonic lattice in the form…”

Section: Mean Field Theory Of Discrete Breathersmentioning

confidence: 99%

Section: Mean Field Theory Of Discrete Breathersmentioning

confidence: 99%

Section: Mean Field Theory Of Discrete Breathersmentioning

confidence: 99%

See 2 more Smart Citations

Standing and Moving Discrete Breathers with Frequencies Above the Phonon Spectrum

et al. 2015

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“…An analytical theory of ILM (see also Refs. [4,5]) was developed and the possible trapping of phonons by ILM was predicted. The corresponding linear local modes (LLMs) manifest themselves as a modulation of ILMs amplitudes [6].…”

Section: Introductionmentioning

confidence: 99%

Theory and molecular dynamics simulations of intrinsic localized modes and defect formation in solids

Hizhnyakov¹,

Haas²,

Shelkan³

et al. 2014

Phys. Scr.

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Abstract. MD simulations of recoil processes following the scattering of X-rays or neutrons have been performed in ionic crystals and metals. At small energies (<10 eV) the recoil can induce intrinsic localized modes (ILMs) and linear local modes associated with them. As a rule, the frequencies of such modes are located in the gaps of the phonon spectrum. However, in metallic Ni, Nb and Fe, due to the renormalization of atomic interactions by free electrons, the frequencies mentioned are found to be positioned above the phonon spectrum. It has been shown that these ILMs are highly mobile and can efficiently transfer a concentrated vibrational energy to large distances along crystallographic directions. If the recoil energy exceeds tens of eVs, vacancies and interstitials can be formed, being strongly dependent on the direction of the recoil momentum. In NaCl-type lattices the recoil in (110) direction can produce a vacancy and a crowdion, while in the case of a recoil in (100) and in (111) directions a bi-vacancy and a crowdion can be formed.

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Modeling of self-localized vibrations and defect formation in solids

Hizhnyakov

Haas

Pishtshev

et al. 2013

Nuclear Instruments and Methods in Physics Research Section B:

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Self-consistent theory of intrinsic localized modes: Application to monatomic chain

Cited by 8 publications

References 25 publications

Standing and Moving Discrete Breathers with Frequencies Above the Phonon Spectrum

Standing and Moving Discrete Breathers with Frequencies Above the Phonon Spectrum

Theory and molecular dynamics simulations of intrinsic localized modes and defect formation in solids

Modeling of self-localized vibrations and defect formation in solids

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