One-dimensional strongly interacting electrons with single impurity: conductance reemergence
V. V. Afonin, V. Yu. Petrov+
Ioffe Physical-Technical Institute of the RAS, 194021 St.Petersburg, Russia
+Petersburg Nuclear Physics Institute, NRC "Kurchatov Institute", 188300 Gatchina, Russia
Abstract
We show that conductance of 1D channel with one point-like impurity
critically depends on asymptotic behavior of e-e interaction at small
momenta k
(about inverse length of a channel). Conductance reemerges (contrary to the
case of point-like repulsive potential) if potential
V(k = 0)= 0.
For example, this happens
if the bare e-e interaction is screened by the charges in the bulk. The
relation of this phenomena to the long-range order present in the Luttinger
model is discussed.
We consider spinless electrons but generalization is straightforward.