Drude Weight, Integrable Systems and the Reactive Hall Constant
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.
In a different context, we will show that in a certain limit, the zero temperature reactive Hall constant RH, is related to the density dependence of the Drude weight. This novel formulation implies a simple picture for the change of sign of charge carriers in the vicinity of a Mott-Hubbard transition.
KeywordsSoliton Compressibility Haldane Maki
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