Transport and conservation laws

TL;DR

This paper investigates the fundamental conservation laws in 1D integrable quantum models, revealing their connection to anomalous thermal transport and ideal conductivity due to conserved quantities.

Contribution

It demonstrates the relationship between energy currents and conservation laws in integrable models, highlighting their impact on transport properties.

Findings

Energy current linked to the first conservation law

Thermal transport coefficients are anomalous

Finite charge stiffness implies ideal conductivity

Abstract

We study the lowest order conservation laws in one-dimensional (1D) integrable quantum many-body models (IQM) as the Heisenberg spin 1/2 chain, the Hubbard and t-J model. We show that the energy current is closely related to the first conservation law in these models and therefore the thermal transport coefficients are anomalous. Using an inequality on the time decay of current correlations we show how the existence of conserved quantities implies a finite charge stiffness (weight of the zero frequency component of the conductivity) and so ideal conductivity at finite temperatures.