J. M. P. Carmelo, Shi-Jian Gu, P. D. Sacramento
The Hubbard model is a problem of wide physical interest that possibly is the most studied lattice model of correlated electrons. In spite that in one dimension (1D) it is solvable by the Bethe ansatz, at half filling its finite-temperature T>0 transport properties remain poorly understood. Here we combine that solution with symmetry to show that within that prominent T=0 1D insulator the charge Drude weight D (T) vanishes for T>0 in the thermodynamic limit. This result is exact and clarifies a long-standing open problem. It rules out that at half filling it is an ideal conductor in the thermodynamic limit. Evidence is provided that it is a normal resistor.
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http://arxiv.org/abs/1209.1276
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