Resonant relaxation time for impurity electron -phonon interaction. Application to the thermal conductivity of MgO:Fe2+ and ZnS:Fe2+

A Boltzmann equation for semiconductors is considered. Physical assumptions include the parabolic band approximation and a new relaxation time model for electron-phonon interaction. Thermal equilibrium distributions for this scattering mechanism are products of Maxwellian distributions with periodic functions of the energy, where the period is the energy of a phonon. The hydrodynamic limit is considered and a drift-diffusion model is derived by formal asymptotic methods.

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The lattice thermal conductivity of silver alloys between 0.3 and 4°K

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences ◽

10.1098/rsta.1965.0010 ◽

1965 ◽

Vol 257 (1083) ◽

pp. 385-407 ◽

Cited By ~ 24

Keyword(s):

Thermal Conductivity ◽

Lattice Thermal Conductivity ◽

Phonon Scattering ◽

Copper Alloys ◽

Mean Free Path ◽

Copper Sample ◽

Phonon Interaction ◽

Temperature Range ◽

Electron Phonon Interaction ◽

Electrical Resistivities

The thermal and electrical conductivities of silver and copper alloys with high electrical resistivities were studied in the temperature range from 0.3 to 4 °K. The lattice thermal conductivity results were interpreted in terms of Pippard’s semi-classical theory of the electron-phonon interaction and good qualitative agreement between this theory and the measurements was obtained for the temperature range from 1 to 4 °K. Below 1 °K the thermal conductivity of most samples decreased much more rapidly than one would have expected if the phonon mean free path were limited by the electron-phonon interaction only. Other phonon scattering mechanisms were therefore postulated and the effects of phonon scattering from dislocations was studied both theoretically and experimentally. The increase in thermal resistance below 1 °K of most alloys was more rapid than the increase obtained theoretically for phonon-dislocation and phonon-boundary scattering. The thermal conductivity of a copper sample with a resistance ratio of about 85 was found to be anomalous below 1 °K as well, suggesting that both the phonons and the conduction electrons could contribute to the effect in the alloys.

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Influence of Electron–Phonon Interaction on the Lattice Thermal Conductivity in Single‐Crystal Si

Annalen der Physik ◽

10.1002/andp.201900435 ◽

2020 ◽

Vol 532 (11) ◽

pp. 1900435

Author(s):

Teng Fang ◽

Jiazhan Xin ◽

Chenguang Fu ◽

Dongsheng Li ◽

Xinbing Zhao ◽

...

Keyword(s):

Thermal Conductivity ◽

Single Crystal ◽

Lattice Thermal Conductivity ◽

Phonon Interaction ◽

Electron Phonon Interaction

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The Lattice Thermal Conductivity of Alloys

Australian Journal of Physics ◽

10.1071/ph600247a ◽

1960 ◽

Vol 13 (2) ◽

pp. 247 ◽

Cited By ~ 16

Author(s):

WRG Kemp ◽

PG Klemens

Keyword(s):

Thermal Conductivity ◽

Liquid Helium ◽

Electron Density ◽

Solute Atom ◽

Lattice Thermal Conductivity ◽

Alloy Composition ◽

Phonon Interaction ◽

Electron Phonon Interaction ◽

Density Of Dislocations ◽

Lattice Waves

The lattice thermal conductivity of alloys at liquid helium temperatures yields information about the nature of the electron-phonon interaction, and about the density of dislocations. It appears that in copper, silver, and gold the electrons interact with transverse as well as with longitudinal lattice waves. The lattice conductivity also varies with alloy composition; it is not clear whether this variation should be ascribed to changes in the electron density or to the presence of dislocations, locked into stable configurations by the solute atom. If the latter view is adopted, the density of dislocations in annealed alloys is typically of the order of lOlD to 1011 lines/em".

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Electron–phonon interaction, superconductivity and thermal conductivity of palladium carbide using ab initio calculation

Computational Materials Science ◽

10.1016/j.commatsci.2012.12.032 ◽

2013 ◽

Vol 70 ◽

pp. 196-200 ◽

Cited By ~ 3

Author(s):

Nikita R. Rathod ◽

Sanjeev K. Gupta ◽

Satyam M. Shinde ◽

Prafulla K. Jha

Keyword(s):

Thermal Conductivity ◽

Ab Initio ◽

Ab Initio Calculation ◽

Phonon Interaction ◽

Electron Phonon Interaction

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High-Tc Superconductors: Evidence on the Electron?Phonon Interaction from Transport Measurements

Australian Journal of Physics ◽

10.1071/ph880597 ◽

1988 ◽

Vol 41 (4) ◽

pp. 597 ◽

Cited By ~ 12

Author(s):

AB Kaiser ◽

C Uher

Keyword(s):

Thermal Conductivity ◽

Transition Temperature ◽

Transport Properties ◽

Hall Coefficient ◽

Electronic Transport ◽

Normal State ◽

High Tc Superconductors ◽

Phonon Interaction ◽

High Tc ◽

Electron Phonon Interaction

We discuss the interpretation of measurements of thermal conductivity, thermopower, Hall coefficient, resistivity and mapetorcsistance in hiJh-temperaturc superconductors. The thermal conductivity of YBa2 Cu3 07 shows an increase below the transition temperature 7;:, demonstrating the importance of the electron-phonon interaction in reducing the phonon current in the normal state. Many features of resistivity and thermopower can be interpreted in terms of conventional metallic models, although morc exotic interpretations have been proposed. We show how measurements on morc disordered samples should help resolve controversy regarding the interpretation of the electronic transport properties.

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