Nonlinear boundary oscillations in strongly correlated electron quantum wires

We study the influence of a boundary point contact voltage on Coulomb blockadelike oscillations of the conductance in mesoscopic quantum wires of strongly correlated electrons. Bethe ansatz techniques allow one to understand lattice boundary effects together with nonconformal many-body behavior for such systems. We predict a nonlinear dependence of the initial (coherent) shift on oscillations with boundary potentials. The results are obtained for both spinless and spin cases.