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4
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84950920594
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The transfer impedance method can be applied to a great many devices.
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A paper on this is in preparation.
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7
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84950902977
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For a nonequilibrium quantum gas there are correlations which exclude the one-electron velocity fluctuation picture, cf.
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Sec. 5.
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(1971)
J. Math. Phys.
, vol.12
, pp. 1998
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van Vliet, K.M.1
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17
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84950836182
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The generalization to the case of a tensorial mobility is not given by Thornber, but is straightforward.
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27
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84950899714
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Note that in the present case Λ as well as G are understood as tensors, to be contracted with the vector function on which they operate, i.e., [formula omitted] [formula omitted]
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Equation (8) then has the integrand [formula omitted]
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31
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84950864604
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Throughout Δ refers to an incremental quantity associated with a small volume [formula omitted] or small line segment [formula omitted] the lower case δ designates fluctuations.
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32
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84950846406
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More precisely, Eq. (11) is an extension of the result of Shockley and coworkers (Ref. 26) for a three-dimensional configuration.
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36
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84950765483
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We use lower case symbols for the noise in the frequency domain.
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Hence, [formula omitted] is the noise component in [formula omitted] of the voltage fluctuations [formula omitted] not to be confused with the velocity fluctuations [formula omitted] Likewise, we denote by [formula omitted] the noise component of the field fluctuations [formula omitted] not to be confused with the scalar noise emf [formula omitted] representing the Thévenin generator [formula omitted] introduced below.
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39
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84950746908
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Shockley, Copeland, and James (Ref. 26) also define a transfer impedance which relates the terminal voltage of the device to an internal current density.
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Their concept differs from ours and is less fundamental for the device description.
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40
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84950769757
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Though for Eq. (7) z is equal to the Green’s function tensor, this is not so if the Langevin description employs variables other than the field, cf.
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Sec. III under extensions/.
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41
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84950784084
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The correspondence with the network has some interesting peculiarities.
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Comparing (32) with (23) we notice that one ∑ yields a line integral while the other ∑ yields a volume integral.
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42
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84950872253
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For single injection diodes it is unlikely that (36) could be valid without (35) being valid also, since we deal with a one-point boundary problem [formula omitted] the other point being immaterial to the field solution.
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For double injection diodes this argument does not apply. However, measurements on samples with a probe have confirmed (35) in addition to (36) C. H. Huang and A. van der Ziel (unpublished).
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44
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84950925903
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Strictly speaking we could have other functions for the transverse components, though this is unlikely.
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