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The SOI parameters are given by αi =e Ei /4m c2 (i=y,z) with e being the (negative) electron charge and m as the effective mass (Ref.). The electric field Ei as the gradient of the confining scalar potential is chosen to be negative here. Therefore, αy, αz >0.
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The SOI parameters are given by αi =e Ei /4m c2 (i=y,z) with e being the (negative) electron charge and m as the effective mass (Ref.). The electric field Ei as the gradient of the confining scalar potential is chosen to be negative here. Therefore, αy, αz >0.
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The details of Feshbach projection for a similar problem using the same notation are given in Ref..
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A reader not interested in how we compute the interacting Green's function entering the generalized Landauer-Büttiker formula might skip this section.
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A reader not interested in how we compute the interacting Green's function entering the generalized Landauer-Büttiker formula might skip this section.
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We note that our approximate treatment of the two-particle interaction does not capture the Mott insulator state. As long as we stay away from half filling for long wires this is irrelevant in the present context.
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We note that our approximate treatment of the two-particle interaction does not capture the Mott insulator state. As long as we stay away from half filling for long wires this is irrelevant in the present context.
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