D. Schmeltzer et R. Berkovits, Zero mode bosonization of the Luttinger liquid: The effect of a twisted boundary condition and a single impurity, PHYS LETT A, 253(5-6), 1999, pp. 341-344
A zero mode bosonization technique treatment of the Hamiltonian is applied
to the calculation of the persistent current carried by a Luttinger liquid
with a single impurity. Analytical expressions are obtained for the suppres
sion of the current as function of the impurity strength and the electron-e
lectron interaction. The expression in the weak limit is confirmed numerica
lly. (C) 1999 Elsevier Science B.V.