Some Exact Solutions for the 1d Strongly Correlated Electron Systems.

Sadamichi Maekawa, Takami Tohyama

Norio Kawakami

Michael R. Peterson, Jan Haerter, B. Sriram Shastry

Moreno, Alexander

We investigate the phenomenon of spin and charge fractionalization of an electron injected into a strongly correlated chain, namely the 1D t-J model, by means of the time-dependent DMRG method. In order to compare and interpret our results we use the Luttinger Liquid (LL) theory and the exact solution of the model at the supersymmetric point as analytical framework. We show that fractionalization of charge and spin beyond the forms described by LL theory takes place at high energies, when a spin-1/2 fermion is injected into the t-J model.

Sze-Shiang Feng

V. V. Afonin, Victor Yu. Petrov

The expression for the conductance of a 1D channel, which has been obtained using the well-known exact solution, is analyzed. It is shown that in the case of strong electron—electron interaction, the slowest (linear in frequency) asymptotics of the conductance is determined by the behavior of electron—electron interaction in the region of transition from 1D to 3D motion realized near the impurity.