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0039801400
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note
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We neglect here additional complications which may arise when dealing with layers of thickness comparable to the lattice constant or the size of the molecular bonds, such as localized/quantized phonon modes and electronic states.
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10
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0040393903
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note
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Ft.
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11
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0040393902
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note
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As explained in Ref. 7, scattering with the substrate-plasmon component of the excitations is assumed to have no effect on the electron momentum relaxation rate, and so on the mobility, since it involves no direct loss of momentum by the 2DEG.
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13
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0040393901
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note
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15). Presumably, an algebraic proof could also be found.
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15
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0039801396
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note
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m = 3.9∈0, we recover the expression (33) of the text. The only remaining algebraic difference is due to the different definition for the gate-plasmon-conlent we have employed, since the definition used in Ref. 7 cannot be extended to the more complicated case of coupled phonon-plasmon excitations considered here. Notice, however, that despite the algebraic equivalence, physically the coupling of plasmons to phonons also alters the strength of the electron/gate-plasmon coupling via the number of dispersion branches present, via a shift of the plasma dispersion, and via a modification of the relative plasmon/phonon content of each branch.
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1 with the effective mass of the bulk polar material), this coupling constant α represents twice the number of LO phonons constituting the "polaron cloud" surrounding an electron in the bulk polar material. Equivalently, it expresses the ratio between the polaron and the LO-phonon energies. In our context we are more interested in the coupling between interface optical phonons and electrons in the 2DEG. Unfortunately, in this case the corresponding coupling "constant" becomes a functional of the electron wave function in the inversion layer, via a "form factor" or "overlap factor." Thus we have decided to use the bulk expression for α even in our 2D context, as it provides a qualitative measure of the strength of the interaction.
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