We study the electrical and thermal transport through the SU$\left(N\right)$ Wolff model with the use of bosonization. The Wilson ratio reaches unity as $N$ grows to infinity. The electric conductance is dominated by the charge channel, and decreases monotonically with increasing interaction. The thermal conductivity enhances in the presence of a local Hubbard $U$. The Wiedemann-Franz law is violated; the Lorentz number depends strongly on the interaction parameter, which can be regarded as a manifestation of spin-charge separation.

• Received 22 July 2006

DOI:https://doi.org/10.1103/PhysRevB.74.161101