Relationship between single-particle excitation and spin excitation at the Mott Transition

Abstract

An intuitive interpretation of the relationship between the dispersion relation of the single-particle excitation in a metal and that of the spin excitation in a Mott insulator is presented, based on the results for the one- and two-dimensional Hubbard models obtained by using the Bethe ansatz, dynamical density-matrix renormalization group method, and cluster perturbation theory. The dispersion relation of the spin excitation in the Mott insulator is naturally constructed from that of the single-particle excitation in the zero-doping limit in both one- and two-dimensional Hubbard models, which allows us to interpret the doping-induced states as the states that lose charge character toward the Mott transition. The characteristic feature of the Mott transition is contrasted with the feature of a Fermi liquid and that of the transition between a band insulator and a metal.

arXiv comment6 pages, 2 figures, to appear in JPS Conf. Proc

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Cited by in corpus (10)

• Origin of Strong Dispersion in Hubbard Insulators
• Spectral properties near the Mott transition in the two-dimensional t-J model
• States induced in the single-particle spectrum by doping a Mott insulator
• Characteristics of the Mott transition and electronic states of high-temperature cuprate superconductors from the perspective of the Hubbard model
• Emergence and spectral-weight transfer of electronic states in the Hubbard ladder
• Mott transition and electronic excitation of the Gutzwiller wavefunction
• Temperature-driven change in band structure reflecting spin-charge separation of Mott and Kondo insulators
• Emergence of electronic modes by doping Kondo insulators in the Kondo lattice and periodic Anderson models
• Emergence and evolution of electronic modes with temperature in spin-gapped Mott and Kondo insulators
• Electronic modes induced by spin and charge perturbations in Mott and Kondo insulators