Transport and conservation laws

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.

6 pages, Latex

References in corpus (6)

• Quantum Inverse Scattering Method and Correlation Functions
• Integrability and ideal conductance at finite temperatures
• Evidence for ideal insulating/conducting state in a 1D integrable system
• Structure of the conservation laws in integrable spin chains with short range interactions
• Chaotic properties of quantum many-body systems in the thermodynamic limit
• Finite temperature mobility of a particle coupled to a fermion environment

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