Vv. Ponomarenko et N. Nagaosa, Features of renormalization induced by interaction in one-dimensional transport, PHYS REV B, 60(24), 1999, pp. 16865-16873
One-dimensional interacting electrons in a quantum wire connected to reserv
oirs are studied theoretically. The difference in the Tomonaga-Luttinger in
teraction constants between the wire (g) and reservoirs (g(infinity)) produ
ces the cross correlation between the right- and left-going chiral componen
ts of the charge-density wave field. The low-energy asymptotics of this fie
ld correlator, which is determined by (g) and (g(infinity)), specifies reno
rmalization of physical quantities. We have found that charge of the carrie
rs in the shot noise is determined by g(infinity) (no renormalization for t
he Fermi liquid reservoirs) at any energy, meanwhile the factor g renormali
zing the charge and spin susceptibilities emerges in the threshold structur
es at some rational fillings. [S0163-1829(99)13547-1].