�ber die Abh�ngigkeit der differentiellen Thermokraft d�nner Metallschichten von deren Dicke

Justi, E.; Köhler, Max; Lautz, Günter

doi:10.1007/bf00622082

Cited by 14 publications

(9 citation statements)

References 2 publications

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“…Development of TFTCs has been vigorous in recent years [1], prompted in large part by the need of the microelectronics industry for TFTCs with eversmaller dimensions. However, when the film thickness becomes comparable to the mean free path of the charge carriers, all transport processes are expected to exhibit size effects [2][3][4][5][6][7][8][9].…”

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confidence: 99%

“…According to Justi et al [3] and Mayer [4], when Eq. (1) is obeyed the thermoelectric power S F of pure metal thin films with thickness t >> ℓ is given by…”

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confidence: 99%

“…Studies of the electrical resistivity of metallic films [23,24] have revealed that this behavior is due to quantum size effects that become relevant when ℓ ≥ t. Eqs. (1)- (4) were derived using a semiclassical approach [2][3][4] that is applicable only when quantum size effects are negligible, i.e., when t >> ℓ, resulting in ΔS F varying linearly with 1/t. To explain the observed nonlinear relationship it would be necessary to adopt a quantum mechanical formalism to calculate the electrical resistivity and the thermoelectric power.…”

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confidence: 99%

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Thermoelectric effect in very thin film Pt∕Au thermocouples

Salvadori

Vaz

Teixeira

et al. 2006

Applied Physics Letters

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The thickness dependence of the thermoelectric power of Pt films of variable thickness on a reference Au film has been determined for the case when the Pt film thickness, t, is not large compared to the charge carrier mean free path, ℓ, that is, t / ℓ. Pt film thicknesses down to 2.2 nm were investigated. We find that ΔS F = S B -S B F (where S B B and S F are the thermopowers of the Pt bulk and film, respectively) does not vary linearly as 1/t as is the case for thin film thermocouples when the film thickness is large compared to the charge carrier mean free path.Keywords: Thermopower effect; Thin-film platinum-gold thermocouples. where the scattering coefficient, p, is the fraction of energy lost by the charge carriers when reflected by the film surface. Since ρ = 1/σ, Eq. (1) can be written in terms of the resistivityAccording to Justi et al. [3] and Mayer [4], when Eq. (1) is obeyed the thermoelectric power S F of pure metal thin films with thickness t >> ℓ is given byB where U = (∂ lnℓ(E)/∂ lnE) E= ξ , E is the electron energy, ξ is the Fermi energy, and the bulk thermoelectric power S B is given bywherer k is Boltzmann's constant, T the absolute temperature, and e the electron charge.From Eqs. (2) and (3) we obtainIf Φ F and Φ B are the thermopowers of a thin-film and a thick-film of Pt with respect to a thick standard film, respectively, then [17] of the thermoelectric power of thin iron films showed the predicted 1/t thickness dependence. 3For all of the above experimental work [1,5,6,8,[14][15][16][17] The Pt and Au films were formed using a filtered vacuum arc plasma deposition method that has been fully described elsewhere [18]. Briefly, a repetitively-pulsed vacuum arc plasma gun equipped with either a Au or Pt cathode is used to form a dense metal (Au or Pt) plasma, which is then transported through a 90 o bent solenoidal magnetic field to remove any solid particulates (cathode debris) from the plasma stream. The plasma is then allowed to deposit on a substrate that is positioned near the exit of the solenoid filter. Thin film samples of different thicknesses can readily be prepared by varying the number of plasma pulses used for the deposition. For the work described here the plasma pulses were 5 ms long and the repetition rate was 1 pulse/sec. The substrates used for film deposition were ordinary glass microscope slides of dimension 25 × 75 mm 2 . The geometry used for all samples is shown in Fig. 1. The Au film strips were the same thickness for all samples, and the thickness of the Pt film was varied for the different samples. We prepared a set of samples in which the Au films were of thickness 141 ± 2 nm and the Pt films were of thicknesses from 2.2 to 166 nm. 4Importantly, we note that the vacuum arc plasma deposition method that we have used is an energetic deposition, with the depositing Pt ion flux having a directed ion energy of ~100 eV [19], resulting in films that are void free and fully dense [20].Measurements were made with the hot junction immersed in oil inside a calorimet...

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confidence: 99%

“…According to Justi et al [3] and Mayer [4], when Eq. (1) is obeyed the thermoelectric power S F of pure metal thin films with thickness t >> ℓ is given by…”

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confidence: 99%

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Thermoelectric effect in very thin film Pt∕Au thermocouples

Salvadori

Vaz

Teixeira

et al. 2006

Applied Physics Letters

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“…6 і 7 приведені товщинні залежності коефіцієнта Зеєбека S від товщини плівок n-PbTe згідно запропонованої моделі для підкладок зі слюди-мусковіт та ситалу. Для плівок на слюді (рис.7) суцільна крива розрахована згідно формули (9). Для даних зразків плівок експеримент добре описує теорія для товстих плівок.…”

Section: розрахунок транспортних коефіцієнтівunclassified

The Influence of Surface on Scattering of Carriers and Kinetic Effects in n-PbTe Films

Ruvinskiǐ

Kostyuk

Dzundza

et al. 2016

PCSS

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Based on the Fuchs-Sondheimer and Mayer models the influence of mechanisms of surface reflection of electrons on the experimental transport and thermoelectric properties of n-PbTe films on various substrates are substrates are considered. The thickness dependences of the Seebeck films based on PbTe are investigated. It is shown that for films on sital substrates mechanism of completely diffuse scattering of carriers (p≈0) are implemented and for the films obtained on fresh chips of mica chips – mixed specular-diffuse scattering mechanism of carriers (scattering coefficient p≈0,4).

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“…The external surface scattering theory (i.e. theory of external size effect) was principally developed by Fuchs [1], Sondheimer [2], and Justi et al [3] (F-S theory) and refined by some other investigators. The theory of the internal size effect (i.e.…”

Section: Introductionmentioning

confidence: 99%