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

The use of hydrodynamic transport theory seems to indicate that the charge diffusion constant of the one-dimensional (1D) half-filled Hubbard

model, whose Drude weight vanishes, diverges for finite emperature, which would imply anomalous super-diffusive charge transport. [1,2,3]. Here the

leading term of that constant is derived for low finite temperatures. It only diverges in the zero-temperature limit, being finite and decreasing upon

increasing the temperature within the low-temperature regime. Our exact results [1] both provide valuable physical information on a complex quantum

problem and bring about the interesting unsolved issue of how charge transport evolves from normal diffusive for low temperature to anomalous

super-diffusive for high temperature.

[1] - E. Ilievski, J. De Nardis, M. Medenjak, and T. Prosen,

Superdiffusion in one-dimensional quantum lattice models,

Phys. Rev. Letters 121, 230602 (2018).

[2] - M. Fava , B. Ware, S. Gopalakrishnan, R. Vasseur, and S. A. Parameswaran,

Spin crossovers and superdiffusion in the one-dimensional Hubbard model,

Phys. Rev. B 102, 115121 (2020).

[3] - C. P. Moca, M. A. Werne, A. Valli, T. Prosen, and G. Zarand,

Kardar-Parisi-Zhang scaling in the Hubbard model,

Phys. Rev. B {\bf 108}, 235139 (2023).

[4] - J. M. P. Carmelo and P. D. Sacramento,

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

Phys. Rev. B, accepted for publication as a Letter (2024)