Influence of backward scattering on correlation exponents in a one-dimensional system

Abstract

Using bosonization and phase shift representation, we rigorously treat backward scattering of electrons on an impurity in a one-dimensional interacting spinless electronic system, and demonstrate that correlation exponents of the system depend on a phase shift induced by the backward scattering, and usual exponent duality between ultraviolet and infrared fixed points comes from the phase shift dependence of the correlation exponents. © 2000 The American Physical Society.