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Exact Drude weight for the one-dimensional Hubbard model at finite temperatures

1997/10/29 by Satoshi Fujimoto, Norio Kawakami · 3 citations
Physics and Astronomy · #Bethe ansatz #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Drude model #Gauge (firearms) #Hubbard model #Materials science #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum and electron transport phenomena #Quantum mechanics #cond-mat.str-el

paper · pdf · doi:10.1088/0305-4470/31/2/008

9 pages, RevTex, To appear in J. Phys. A

arxiv created 1997/10/29 · openalex publication_date 1998/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The Drude weight for the one-dimensional Hubbard model is investigated at finite temperatures by using the Bethe ansatz solution. Evaluating finite-size corrections to the thermodynamic Bethe ansatz equations, we obtain the formula for the Drude weight as the response of the system to an external gauge potential. We perform low-temperature expansions of the Drude weight in the case of half-filling as well as away from half-filling, which clearly distinguish the Mott-insulating state from the metallic state.

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