Temperature dependence of charge transport in the half-filled 1D Hubbard model

Abstract

The use of hydrodynamic transport theory seems to indicate that the charge diffusion constant D of the one-dimensional (1D) half-filled Hubbard model, whose Drude weight vanishes, diverges for temperature T>0, which would imply anomalous superdiffusive charge transport. Here the leading term of that constant is derived for low finite temperatures much smaller than the the Mott-Hubbard gap. It only diverges in the temperature infinite limit, being finite and decreasing upon increasing T within the low-temperature regime. Our exact results both provide valuable physical information ona complex quantum problem and bring about the interesting unsolved issue of how charge transport evolves from normal diffusive for low temperatures to anomalous superdiffusive in the infinite temperature limit.

arXiv comment6 pages, 1 figure

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Cited by in corpus (5)

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• Diffusive charge transport in the gapped 1D Hubbard model at all finite temperatures
• Finite-temperature transport in the gapped spin-1/2 XXZ chain and one-dimensional lattice spinless fermion model
• Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/${\mathbb{Z}}_2^2$ symmetry
• Quantum transport in 1D Hubbard model: Drude weights and Seebeck effect