FRIEDEL OSCILLATIONS IN ONE-DIMENSIONAL FERMION SYSTEMS WITH LONG-RANGE COULOMB INTERACTION

Using a bosonization and variational Gaussian wave-functional method w e analytically calculate the Friedel oscillations induced by a single impurity in one-dimensional electron systems with long-range Coulomb i nteraction. It is shown that the Friedel oscillations are drastically different from those in electron systems with short-range interaction. First, in the long-range case the oscillatory part of the Friedel osc illations is not periodic as that in the short-range case. Second, in the long-range case the envelope of the Friedel oscillations decays as exp[-const(lnx)(1/2)] far away from the impurity, which is much slowe r than the power law in the short-range case. [S0163-1829(98)00524-4].