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Exact electronic Green functions in a Luttinger liquid with long-range interactions

Aníbal Iucci·Carlos Naón
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Abstract

We compute the 2-point (equal-time) electronic Green function in a Tomonaga-Luttinger system with long-range electron-electron interactions. We obtain an analytical expression for a "super long-range" potential of the form $V(x)=\frac{e^2d^{-ε}}{|x|^{1-ε}}$. As a consistency check of our computational technique we also consider the particular case of a Coulomb potential. Our result confirms the $\exp-C(logx)^{3/2}$ long-distance behavior first obtained by Schulz.

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Aníbal Iucci, Carlos Naón. 2000-03-28. Exact electronic Green functions in a Luttinger liquid with long-range interactions. https://doi.org/10.1103/physrevb.61.15530

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