Abstract

The Drude weight D, characterizing the reactive part of the conductivity, can be used as a criterion of a metallic or insulating ground state. Here, we will discuss how D remains finite at all temperatures, implying ideal conductivity (ballistic transport) in integrable quantum many body systems commonly used in the description of quasi-one dimensional materials. We will relate this singular behavior to the existence of conservation laws in integrable systems and discuss, in particular, the energy and spin dynamics of the spin 1/2 Heisenberg model.

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