Mott transition and electronic excitation of the Gutzwiller wavefunction

Abstract

The Mott transition is usually considered as resulting from the divergence of the effective mass of the quasiparticle in the Fermi-liquid theory; the dispersion relation around the Fermi level is considered to become flat towards the Mott transition. Here, to clarify the characterization of the Mott transition under the assumption of a Fermi-liquid-like ground state, the electron-addition excitation from the Gutzwiller wavefunction in the $t$-$J$ model is investigated on a chain, ladder, square lattice, and bilayer square lattice in the single-mode approximation using a Monte Carlo method. The numerical results demonstrate that an electronic mode that is continuously deformed from a non-interacting band at zero electron density loses its spectral weight and gradually disappears towards the Mott transition. It exhibits essentially the magnetic dispersion relation shifted by the Fermi momentum in the small-doping limit as indicated by recent studies for the Hubbard and $t$-$J$ models, even if the ground state is assumed to be a Fermi-liquid-like state exhibiting gradual disappearance of the quasiparticle weight. This implies that, rather than as the divergence of the effective mass or disappearance of the carrier density that is expected in conventional single-particle pictures, the Mott transition can be better understood as freezing of the charge degrees of freedom while the spin degrees of freedom remain active, even if the ground state is like a Fermi liquid.

10 pages, 3 figures

References in corpus (8)

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• Entanglement entropy of critical spin liquids
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Cited by in corpus (4)

• Emergence of electronic modes by doping Kondo insulators in the Kondo lattice and periodic Anderson models
• Temperature-driven change in band structure reflecting spin-charge separation of Mott and Kondo insulators
• 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