Thermodynamics of the one-dimensional half-filled Hubbard model in the spin-disordered regime

Abstract

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small compared to the Mott-Hubbard gap. In this regime the thermodynamics of the Hubbard model can be thought of in terms of gapped charged excitations with an effective dispersion and spin degrees of freedom that only contribute entropically. In particular, the internal energy and the effective dispersion become essentially independent of temperature. An interpretation of this regime in terms of a putative interacting-electron system at zero temperature leads to a metal-insulator transition at a finite interaction strength above which the gap opens linearly. We relate these observations to studies of the Mott-Hubbard transition in the limit of infinite dimensions.

arXiv comment15 pages, 3 figures

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Cited by in corpus (6)

• Quantum-disentangled liquid in the half-filled Hubbard model
• Quantum critical behavior and thermodynamics of the repulsive one-dimensional Hubbard model in a magnetic field
• Fractional exclusion statistics and thermodynamics of the Hubbard chain in the spin-incoherent Luttinger liquid regime
• Spectral function of the $U\to \infty$ one dimensional Hubbard model at finite temperature and the crossover to the spin incoherent regime
• Atypical energy eigenstates in the Hubbard chain and quantum disentangled liquids
• Charge dynamics in magnetically disordered Mott insulators