Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-12-10
Phys.Rev. B61 (2000) 015530
Physics
Condensed Matter
Strongly Correlated Electrons
Latex, 11 pages, no figures. Version to appear in Phys. Rev. B. Added references, corrected sign and factor in equations (19)
Scientific paper
10.1103/PhysRevB.61.15530
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 $V(x)=\frac{e^2d^{-\epsilon}}{|x|^{1-\epsilon}}$. 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.
Iucci Aníbal
Naon Carlos
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