The Wiedemann-Franz law in the SU(N) Wolff model

TL;DR

This paper investigates electrical and thermal transport in the SU(N) Wolff model, revealing violations of the Wiedemann-Franz law and the influence of interactions on conductance and thermal conductivity, highlighting spin-charge separation effects.

Contribution

It provides a detailed analysis of transport properties in the SU(N) Wolff model using bosonization, emphasizing the interaction-dependent violation of the Wiedemann-Franz law.

Findings

Lorentz number varies with interaction strength

Thermal conductivity increases with Hubbard U

Electrical conductance decreases with interaction

Abstract

We study the electrical and thermal transport through the SU(N) 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 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.