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Note that to be more precise, one should compensate for the discretized correlation function defined in Eq. 2 by a factor of 1/ (N-m-1). However, this compensation has little effect here because N, i.e., the total number of grid points, is large enough and the correlation function itself decays fast (correlation radius much smaller than the waveguide length).
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Note that to be more precise, one should compensate for the discretized correlation function defined in Eq. 2 by a factor of 1/ (N-m-1). However, this compensation has little effect here because N, i.e., the total number of grid points, is large enough and the correlation function itself decays fast (correlation radius much smaller than the waveguide length).
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After the convolution, we will rescale the new surface roughness function η̃(x) such as its maximal value is still given by |ηmax |.
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After the convolution, we will rescale the new surface roughness function η̃(x) such as its maximal value is still given by | ηmax |.
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Interestingly, for |ηmax| =0.01, if the location of the peak of χ η̃(2k) is too close to the channel opening energy, e.g., ∼kw/π=0.25, then it becomes harder to identify a conductance window similar to that shown in Fig. 4.
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Interestingly, for |ηmax| =0.01, if the location of the peak of χ η̃(2k) is too close to the channel opening energy, e.g., ∼kw/π=0.25, then it becomes harder to identify a conductance window similar to that shown in Fig. 4.
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