Dislocation Vibration and Phonon Scattering

Ninomiya, T.

doi:10.1143/jpsj.25.830

Cited by 113 publications

(66 citation statements)

References 6 publications

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“…where L is the sample length along the dislocation direction, k ( ) m and k k ( ) K 2 are the classical linear mass density and tension, respectively, and can be written down from a classical theory straightforwardly as was done in [27]. For an edge dislocation, we have the effective mass density and the tension written as where k D is the Debye cutoff in the in-plane xy direction.…”

Section: The Classical Foundation Prior To Dislocation Quantizationmentioning

confidence: 99%

Electron energy can oscillate near a crystal dislocation

Cui

Dresselhaus³

et al. 2017

New J. Phys.

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Crystal dislocations govern the plastic mechanical properties of materials but also affect the electrical and optical properties. However, a fundamental and quantitative quantum field theory of a dislocation has remained undiscovered for decades. Here we present an exactly-solvable one-dimensional quantum field theory of a dislocation, for both edge and screw dislocations in an isotropic medium, by introducing a new quasiparticle which we have called the 'dislon'. The electron-dislocation relaxation time can then be studied directly from the electron self-energy calculation, which is reducible to classical results. In addition, we predict that the electron energy will experience an oscillation pattern near a dislocation. Compared with the electron density's Friedel oscillation, such an oscillation is intrinsically different since it exists even with only single electron is present. With our approach, the effect of dislocations on materials' non-mechanical properties can be studied at a full quantum field theoretical level.

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Section: The Classical Foundation Prior To Dislocation Quantizationmentioning

confidence: 99%

Electron energy can oscillate near a crystal dislocation

Cui

Dresselhaus³

et al. 2017

New J. Phys.

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“…(20), a dislocation density N d ¼ 2 Â 10 13 m --2 is chosen. The scattering cross section of oscillating kinks can be calculated using Ninomiya's formalism [57,58] for the vibration of a dislocation line in a potential trough. If the dislocations oscillate within the Peierls potential, the resonance frequency is given by [39] …”

Section: The Interaction Of Phonons With Mobile Kinks In Dislocationsmentioning

confidence: 99%

“…Therefore, using realistic dislocation segment lengths, it is not possible to explain the resonance frequency w 0 % 10 11 Hz as obtained from the temperature value at which the minimum mean free path of the phonons is observed. As mentioned above, the interaction of phonons with dislocations oscillating in a Peierls potential has been investigated by Ninomiya [57,58] and Suzuki [60]. In the case of aluminum with a Peierls stress, t P /G % 4 Â 10 --4 [42], a high resonance frequency of w 0 % 4.5 Â 10 11 Hz is expected from Eq.…”

Section: Comparison With Other Models Of a Dynamic Phonon-dislocationmentioning

confidence: 99%

Low-Temperature Acoustic and Thermal Properties of Plastically Deformed, High-Purity Polycrystalline Aluminum

Wasserbäch¹,

Abens

Sahling

et al. 2001

phys. stat. sol. (b)

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The low-temperature internal friction Q --1 , thermal conductivity j, specific heat c p and heat release of plastically deformed, high-purity aluminum polycrystals have been investigated and have been compared with measurements on an amorphous SiO 2 specimen. Plastic deformation has a pronounced effect on both internal friction Q --1 and thermal conductivity j in the superconducting state. The magnitude of the internal friction Q --1 can be increased over two orders by plastic deformation over that observed on an annealed sample, and approaches a value approximately equal to that of the amorphous SiO 2 specimen. The lattice thermal conductivity j of the deformed specimens also has a magnitude which is of the same order as that of amorphous SiO 2 , it is, however, nearly independent of the amount of deformation. No "glass-like" anomalies could be observed in the specific heat c p and heat release measurements. The specific heat c p approaches a T 3 -relationship at the lowest temperatures investigated, and heat release experiments clearly show no longtime energy relaxation effects. Thus, it must be concluded that the defects introduced into deformed aluminum cannot be described with the tunneling model which had been proposed to describe the low temperature elastic and thermal properties of amorphous solids and which is based on the assumption of a constant spectral density of tunneling states. The phonon scattering mechanism observed in the deformed aluminum is tentatively related to the interaction of phonons with geometrical kinks in dislocations.

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“…Thus, at low temperatures the vibrating string model is not the appropriate model to describe the dislocation motion. Another model considers the interaction of phonons with dislocations oscillating in a potential trough according to Ninomiya [77,78]. Using his expression of the scattering cross section per unit length, Suzuki [79] calculated the relaxation rate (1/t d ) from which we obtain the internal friction to be…”

Section: The Interaction Of Phonons With Mobile Dislocationsmentioning

confidence: 99%

Low-Temperature Internal Friction in High-Purity Monocrystalline and Impure Polycrystalline Niobium after Plastic Deformation

Wasserbäch¹,

Thompson

2001

phys. stat. sol. (a)

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The internal friction Q --1 of plastically deformed, high-purity monocrystalline and impure polycrystalline niobium specimens was measured in the temperature range between 65 mK and about 2 K. Plastic deformation has a pronounced effect on the internal friction Q --1 of the high-purity monocrystalline specimens, and the effect has been found to be almost temperature independent. By contrast, surprisingly, the internal friction Q --1 of the impure polycrystalline specimens was found to be almost independent of the extent of plastic deformation. Comparison of the experimental results with different models of a dynamic scattering of acoustic phonons by dislocations leads to the conclusion that the results cannot be explained with the two-level tunneling model. Instead it is suggested that a strong interaction between acoustic phonons and geometrical kinks in nonscrew dislocations is responsible for the observed internal friction Q --1 .

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Dislocation Vibration and Phonon Scattering

Cited by 113 publications

References 6 publications

Electron energy can oscillate near a crystal dislocation

Electron energy can oscillate near a crystal dislocation

Low-Temperature Acoustic and Thermal Properties of Plastically Deformed, High-Purity Polycrystalline Aluminum

Low-Temperature Internal Friction in High-Purity Monocrystalline and Impure Polycrystalline Niobium after Plastic Deformation

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