Effect of the Superconducting Transition on the Creep in Lead

Soldatov, V. P.; Startsev, V. I.; Vainblat, T. I.

doi:10.1002/pssb.19700370106

Cited by 42 publications

(6 citation statements)

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“…One problem worth mentioning is an inverse problem to study how phonons and electrons affect dislocation motion. It is well known that the electrons in a superconductor can have a drag-like effect on dislocations, called electronic damping [111][112][113][114], while phonons can also influence the dislocation motion [79,115] which is examined in great detail in recent molecular dynamics simulations [116]. Since a dislocation's motion is slow compared to electronic and phononic processes, a pure classical and semi-classical theory is sufficient to describe dislocation motion without necessity to refer to a fully-quantized theory, although the mechanical properties can still be calculated from a Hamiltonian theory as done in density functional theoretical calculations [117].…”

Section: Perspectivementioning

confidence: 99%

Theory of electron–phonon–dislon interacting system—toward a quantized theory of dislocations

Tsurimaki

Meng

et al. 2018

New J. Phys.

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We provide a comprehensive theoretical framework to study how crystal dislocations influence the functional properties of materials, based on the idea of a quantized dislocation, namely a 'dislon'. In contrast to previous work on dislons which focused on exotic phenomenology, here we focus on their theoretical structure and computational power. We first provide a pedagogical introduction that explains the necessity and benefits of taking the dislon approach and why the dislon Hamiltonian takes its current form. Then, we study the electron-dislocation and phonon-dislocation scattering problems using the dislon formalism. Both the effective electron and phonon theories are derived, from which the role of dislocations on electronic and phononic transport properties is computed. Compared with traditional dislocation scattering studies, which are intrinsically single-particle, loworder perturbation and classical quenched defect in nature, the dislon theory not only allows easy incorporation of quantum many-body effects such as electron correlation, electron-phonon interaction, and higher-order scattering events, but also allows proper consideration of the dislocation's long-range strain field and dynamic aspects on equal footing for arbitrary types of straight-line dislocations. This means that instead of developing individual models for specific dislocation scattering problems, the dislon theory allows for the calculation of electronic structure and electrical transport, thermal transport, optical and superconducting properties, etc, under one unified theory. Furthermore, the dislon theory has another advantage over empirical models in that it requires no fitting parameters. The dislon theory could serve as a major computational tool to understand the role of dislocations on multiple materials' functional properties at an unprecedented level of clarity, and may have wide applications in dislocated energy materials. List of symbols in alphabetical orderA s Classical electron-dislon scattering amplitude A(k 1 , k 2 , k 3 ) Anharmonic coupling constant b k Phonon annihilation operator + b k Phonon creation operator b, b Phonon fields in coherent state form b Burgers vector c ijkl Stiffness tensor OPEN ACCESS RECEIVED R j 0 Atomic coordinate of j th atom in a perfect crystal S Action S Energy flow operator T Dislocation kinetic energy Recently, some of us started to develop a theory based on the quantization of a dislocation and introduced the 'dislon' as the basic quanta of a quantized dislocation for arbitrary types of dislocation lines, including both edge and screw dislocations. Starting from a one-dimensional quantization approach [25, 36, 77], we treated electron [25] and phonon [36] scattering with an individual dislocation, and single electron-interacting dislocation pair scattering [77]. Later, we generalized the one-dimensional approach to a full three-dimensional quantization [76], but focused on the electron-dislocation superconductivity.In this study, we generalize the dislon theory in 3D to include electron...

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Section: Perspectivementioning

confidence: 99%

Theory of electron–phonon–dislon interacting system—toward a quantized theory of dislocations

Tsurimaki

Meng

et al. 2018

New J. Phys.

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“…I n the model of viscous dislocation motion such an asymmetry can be caused by a change of the viscous drag coefficient (see expressions (11): At,N/AtR-s = &/AK). I n the case of the model of thermally activated dislocation motion a corresponding change in y a t superconducting transitions is necessary to be assumed to explain the asymmetry (see expression (16)), and such a change is improbable since the change in volume and elastic constants is insignificant a t the superconducting transitions.…”

Section: The Transition Time To the Steady-state Plastic Strain Aftermentioning

confidence: 99%

“…Such values for co -eIo do not contradict t o the results of the stress relaxation experiments provided that these results are considered t o be the estimation of 0 -(r,. If expression (16) is used and the activation volume is given as y = b2 L, where L is the distance between the barriers, then in the region, where, according to the estimations in [ll], the dependence of the frequency factor v on the viscous drag coefficient B is observed The dependence of Ats, on the cross-head speed 8 (see Fig. 2 a ) agrees with the model of viscous dislocation motion, provided that a t the change in 8 , croeio is assumed to be nearly unchanged (see expression ( l l ) ) , and also with the model of thermally activated dislocation motion [ 111 (see expression (16)).…”

Section: The Transition Time To the Steady-state Plastic Strain Aftermentioning

confidence: 99%

“…Such values are lower than those observed experimentally. Experimentally observed values of Aosx and Ats, can be obtained from the expressions (16) and (17a) a t I; = ( 2 to 5) x lo-' cm, but a t such L the frequency factor v according to [ l l ] should not depend on the viscous drag coefficient B. The increase in hass with deformation (see Fig.…”

Section: If the Expression (17)mentioning

confidence: 99%

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Kinetics of Plastic Deformation at Superconducting Transitions

Bobrov

Gutmanas

1972

Physica Status Solidi (b)

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“…This problem is of interest for several reasons. 4,[11][12][13] These effects are correlated with effects of the influence of the NS transition on the kinetics of plastic flow of the metal, which are observed upon active deformation of samples at a constant rate. Another important component, whose role is under active discussion in the literature, is electronic friction, which arises on account of the interaction of moving dislocations with conduction electrons.…”

Section: Introductionmentioning

confidence: 99%

Quantum creep of β–Sn in the normal and superconducting states. Influence of the NS transition on work hardening

Нацик

Soldatov

Ivanchenko

et al. 2006

Low Temperature Physics

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Previously we investigated the kinetics of transient logarithmic creep of ␤-tin single crystals at very low temperatures 0.5 K Ͻ T Ͻ 4.2 K with the sample under deformation in the normal ͑N͒ electronic state. In a continuation of that research, here we determine the boundary temperature T g Ϸ 1.3 K separating the regions of thermally activated ͑T Ͼ T g ͒ and quantum ͑T Ͻ T g ͒ plasticity governed by the motion of dislocations through Peierls barriers. Experiments are done on samples in the superconducting ͑S͒ state ͑0.5 K Ͻ T Ͻ T c = 3.7 K͒. It is shown that the NS transition preserves the logarithmic type of creep, its quantum character in the region T Ͻ T g , and the value of the boundary temperature ͑T gS Ϸ T gN Ϸ 1.3 K͒. Analysis of the curves of the logarithmic creep in the quantum region can yield empirical estimates for the work hardening coefficient of the samples. It is found to increase significantly at the NS transition: along the whole deformation curve the work hardening in the S state occurs more intensely, and, on the average, S Ϸ 1.5 N . Such an effect has been observed previously in a study of the plasticity of a series of fcc metals by the method of active deformation at a constant rate ͑V. V. Pustovalov, I. N. Kuz'menko, N. V. Isaev, V. S. Fomenko, S. É. Shumlin, Fiz. Nizk. Temp. 30, 109 ͑2004͒ ͓Low Temp. Phys. 30, 82 ͑2004͔͒͒. A comparison of the results of this study with previous results suggests that the increase in intensity of the work hardening at the superconducting transition is of a general nature for metallic superconductors and is manifested for other deformation regimes as well. The possible causes of the effect are discussed in the general conceptual framework of dislocation physics.

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Effect of the Superconducting Transition on the Creep in Lead

Cited by 42 publications

References 3 publications

Theory of electron–phonon–dislon interacting system—toward a quantized theory of dislocations

Theory of electron–phonon–dislon interacting system—toward a quantized theory of dislocations

Kinetics of Plastic Deformation at Superconducting Transitions

Quantum creep of β–Sn in the normal and superconducting states. Influence of the NS transition on work hardening

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