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Phys. Rev. B 55, 11029–11032 (1997)

Transport and conservation laws

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X. Zotos and F. Naef
Institut Romand de Recherche Numérique en Physique des Matériaux (IRRMA), INR-Ecublens, CH-1015 Lausanne, Switzerland

P. Prelovsek
Institut Romand de Recherche Numérique en Physique des Matériaux (IRRMA), INR-Ecublens, CH-1015 Lausanne, Switzerland
J. Stefan Institute, University of Ljubljana, 6111 Ljubljana, Slovenia

We study the effect of conservation laws on the finite-temperature transport properties in one-dimensional integrable quantum many-body systems. We show that the energy current is closely related to the first conservation law in these systems 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.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.55.11029
DOI:
10.1103/PhysRevB.55.11029
PACS:
71.27.+a, 72.10.-d, 05.45.+b