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.
KeywordsIntegrable System Hubbard Model Heisenberg Model Integrable Quantum Ballistic Transport
Unable to display preview. Download preview PDF.
- F. Naef and X. Zotos, J. Phys. C. 10, L183 (1998); F. Naef, Ph. D. thesis no.2127, EPF-Lausanne (2000).Google Scholar
- A. Rosch and N. Andrei, cond-mat/0002306.Google Scholar
- A.V. Sologubenko, E. Felder, K. Giannò, H.R. Ott, A. Vietkine and A. Revcolenschi, preprint (2000).Google Scholar
- X. Zotos, F. Naef, M. Long and P. Prelovšek, Phys. Rev. Lett. (2000).Google Scholar