Deformation Potentials and Mobilities in Non-Polar Crystals

Bardeen, John; Shockley, W.

doi:10.1103/physrev.80.72

Cited by 3,190 publications

(1,938 citation statements)

References 15 publications

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“…A number of choices of adjustable parameters are possible in order to fit experimental data for ( ) 0 T ω with Eq. (19). The four disposable parameters are…”

Section: Gallium Nitride Zinc Oxide Cadmium Sulfidementioning

confidence: 99%

Electron–phonon interaction in tetrahedral semiconductors

Cardona

2005

Solid State Communications

161

141

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Considerable progress has been made in recent years in the field of ab initio calculations of electronic band structures of semiconductors and insulators. The oneelectron states (and the concomitant two-particle excitations) have been obtained without adjustable parameters, with a high degree of reliability. Also, more recently, the electron-hole excitation frequencies responsible for optical spectra have been calculated. These calculations, however, are performed with the constituent atoms fixed in their crystallographic positions and thus neglect the effects of the lattice vibrations (i.e. electron-phonon interaction) which can be rather large, even larger than the error bars assumed for ab initio calculations.Effects of electron-phonon interactions on the band structure can be experimentally investigated in detail by measuring the temperature dependence of energy gaps or critical points (van Hove singularities) of the optical excitation spectra. These studies have been complemented in recent years by observing the dependence of such spectra on isotopic mass whenever different stable isotopes of a given atom are available at affordable prices. In crystals composed of different atoms, the effect of the vibration of each separate atom can thus be investigated by isotopic substitution. Because of the zero-point vibrations, such effects are present even at zero temperature (T = 0).In this paper we discuss state-of-the-art calculations of the dielectric function spectra and compare them with experimental results, with emphasis on the differences introduced by the electron-phonon interaction. The temperature dependence of various optical parameters will be described by means of one or two (in a few cases three) Einstein oscillators, except at the lowest temperatures where the T 4 law (contrary to the Varshni T 2 result) will be shown to apply. Increasing an isotopic mass increases the energy gaps, except in the case of monovalent Cu (e.g., CuCl) and possibly Ag (e.g., AgGaS 2 ). It will be shown that the gaps of tetrahedral materials containing an element of the first row of the periodic table (C,N,O) are strongly affected by the electron-phonon interaction. It will be conjectured that this effect is related to the superconductivity recently observed in heavily boron-doped carbon.

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“…A number of choices of adjustable parameters are possible in order to fit experimental data for ( ) 0 T ω with Eq. (19). The four disposable parameters are…”

Section: Gallium Nitride Zinc Oxide Cadmium Sulfidementioning

confidence: 99%

Electron–phonon interaction in tetrahedral semiconductors

Cardona

2005

Solid State Communications

161

141

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“…With the knowledge of ξ, effective masses and the mass isotropy factors, the deformation potentials 27 for band L and Σ can be estimated, using the above determined partial mobilities μ L and μ Σ at this temperature. The deformation potential for Σ band is ~9.5eV and ~19eV for L band, using a longitudinal sound velocity of 3600 m/s 3 .…”

mentioning

confidence: 99%

Convergence of electronic bands for high performance bulk thermoelectrics

Pei

Xiao-li

LaLonde

et al. 2011

Nature

3,554

2,870

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“…Where, µ is mobility, e is charge of the electron and n c is number of charge carriers in the system. It is known that the mobility is greatly influenced by the grain boundary scattering [23]. TAGS materials behave as a native strong p-type because of the carrier from defect structure [11,24].…”

Section: Resultsmentioning

confidence: 99%

“…The Seebeck coefficient can be expressed by α = Ylnn c , where Y is the scattering factor. Several scattering mechanisms could affect the Seebeck coefficient, for example, grain boundary scattering, impurity scattering, phonon scattering, and carrier scattering [23]. From the results showing changes in microstructure, as shown in Fig.…”

Section: Resultsmentioning

confidence: 99%

Microstructure And Thermoelectric Properties Of Tags-90 Compounds Fabricated By Mechanical Milling Process

Kim¹,

Madavali²,

Hong³

2015

Archives of Metallurgy and Materials

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TAGS-90 compound powder was directly prepared from the elements by high-energy ball milling (HEBM) and subsequently consolidated by a spark plasma sintering (SPS). Effect of milling time on the microstructure and thermoelectric properties of the samples were investigated. The particle size of fabricated powders were decreased with increasing milling time, finally fine particles with ∼1µm size was obtained at 90 min. The SPS samples exhibited higher relative densities (>99%) with fine grain size. X-ray diffraction analysis (XRD) and energy dispersion analysis (EDS) results revealed that all the samples were single phase of GeTe with exact composition. The electrical conductivity of samples were decreased with milling time, whereas Seebeck coefficient increased over the temperature range of RT∼450 • C. The highest power factor was 1.12×10 −3 W/mK 2 obtained for the sample with 90 min milling at 450 • C.

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Deformation Potentials and Mobilities in Non-Polar Crystals

Cited by 3,190 publications

References 15 publications

Electron–phonon interaction in tetrahedral semiconductors

Electron–phonon interaction in tetrahedral semiconductors

Convergence of electronic bands for high performance bulk thermoelectrics

Microstructure And Thermoelectric Properties Of Tags-90 Compounds Fabricated By Mechanical Milling Process

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