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

ANÍBAL IUCCI; CARLOS NAÓN

PHYSICAL REVIEW B - CONDENSED MATTER AND MATERIALS PHYSICS

APS

Año: 2000 vol. 61 p. 15530 - 15533

0163-1829

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 $V(x)= rac{e^2d^{-epsilon}}{|x|^{1-epsilon}}$. As a consistency check of our computational technique we also consider the particular case of a Coulomb potential. Our result confirms the $exp-C(logx)^ rac{3}{2}$ long-distance behavior first obtained by Schulz.