1967
DOI: 10.1002/pssb.19670230122
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Anisotropy of Thermomagnetic Effects in n‐Ge

Abstract: A generalization of the theory of the anisotropic scattering of current carriers is proposed for the case of a phonon-drag effect. For two selected versions of phonon-phonon scattering theory it is possible to determine the nonequilibrium partition-function of the phonons. Calculations are made of the longitudinal and t.ransverse Nernst-Et.t.inghausen effects in n-Ge on t,he basis of anisot.ropic scattering and a phonon-drag effect.. The resu1t.s nre compared with experimental data [I], and it is found t,hat t… Show more

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Cited by 8 publications
(4 citation statements)
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“…In §2, we summarize i) the derivation of the anisotropic relaxation time from the linearized Boltzmann equation, first derived in ref. 13, ii) the derivation of ZT using the anisotropic relaxation time, 14,15) and iii) the derivation using CRTA. In §3, we analyze and discuss the thermoelectric properties of the anisotropic model as a function of the effective mass ratio.…”
Section: Introductionmentioning
confidence: 99%
“…In §2, we summarize i) the derivation of the anisotropic relaxation time from the linearized Boltzmann equation, first derived in ref. 13, ii) the derivation of ZT using the anisotropic relaxation time, 14,15) and iii) the derivation using CRTA. In §3, we analyze and discuss the thermoelectric properties of the anisotropic model as a function of the effective mass ratio.…”
Section: Introductionmentioning
confidence: 99%
“…In these equations, the ionized impurity density and impurity charge are N + and Z, respectively. Note that F j is the Fermi-Dirac integral of order j To calculate an empirical correction that accounts for anisotropic ionized impurity mobility, the scattering rates in the longitudinal and transverse directions are assumed to be equal [32,33] and may be found using the SKD method [45]. This scattering rate incorporated in the Brooks-Herring treatment [32] results in equations (A.…”
Section: A4 Brooks-herring Methodsmentioning
confidence: 99%
“…The Brooks-Herring method can underestimate damping from ionized impurity scattering in semiconductors such as Si with non-spherical dispersion. Since determining an effective, isotropic ionized impurity mobility is difficult for materials with non-spherical dispersion, we implemented a mostlyempirical correction for n-Si by assuming that the scattering rates in the longitudinal and transverse directions are equal [33] and may be calculated using the SKD method [45]. With the SKD scattering rate, the anisotropic ionized impurity mobility can be calculated using the same procedure as the Brooks-Herring method [32].…”
Section: Correction For Anisotropic Ionized Impurity Scattering In Simentioning
confidence: 99%
“…That is, h 1 i is expected to be the decreasing function of m 3 =m 1 . 8,13) However, this expectation fails awing to the following reason.…”
mentioning
confidence: 99%