Mott-Hubbard metal-insulator transition at non-integer filling

Abstract

Correlated electrons in a binary alloy $A_x{B}_{1-x}$ are investigated within the Hubbard model and dynamical mean--field theory (DMFT). The random energies ${\epsilon }_i$ have a bimodal probability distribution and an energy separation $\Delta$. We solve the DMFT equations by the numerical renormalization group method at zero temperature, and calculate the spectral density as a function of disorder strength $\Delta$ and interaction $U$ at different fillings. For filling factors $\nu =x$ or $1+x$ the lower or upper alloy subband is half filled and the system becomes a Mott insulator at strong interactions, with a correlation gap at the Fermi level. At the metal--insulator transition hysteresis is observed. We also analyze the effective theory in the $\Delta \to \infty$ limit and find good agreement between analytical and numerical results for the critical interaction $U_c$ at which the metal--insulator transition occurs.

9 pages, 7 figures

References in corpus (5)

• High-temperature superfluidity of fermionic atoms in optical lattices
• Ferromagnetism and Metal-Insulator Transition in the Disordered Hubbard Model
• Ultracold Bosonic Atoms in Disordered Optical Superlattices
• The types of Mott insulator
• Luttinger liquid superlattices: realization of gapless insulating phases

Cited by in corpus (27)

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• Self-energy-functional theory for systems of interacting electrons with disorder
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• Ultracold bosons in lattices with binary disorder
• Insulator-metal-insulator transition and selective spectral weight transfer in a disordered strongly correlated system
• Local distribution approach to disordered binary alloys
• Influence of disorder on the transport properties of heavy-fermion systems
• Determinant Quantum Monte Carlo Study of the Screening of the One Body Potential near a Metal-Insulator Transition
• Correlated electrons in the presence of disorder
• Curie temperature and quantum phase transitions in the Hubbard model with binary alloy disorder
• Dielectric catastrophe at the magnetic field induced insulator to metal transition in Pr1-xCaxMnO3 (x=0.30, 0.37) crystals
• Dynamical Mean-Field Theory
• Mott-Hubbard quantum criticality in paramagnetic CMR pyrochlores
• Destruction of Superconductivity by Impurities in the Attractive Hubbard Model
• Disorder- and correlation-driven metal-insulator transitions
• Mixtures of correlated bosons and fermions: Dynamical mean-field theory for normal and condensed phases
• Mott and Band Insulator Transitions in the Binary Alloy Hubbard Model
• Ferromagnetism and Kondo Insulator Behavior in the Disordered Periodic Anderson Model
• Dynamical mean-field theory of the Anderson-Hubbard model with local and non-local disorder in tensor formulation
• Electronic and magnetic properties of the ionic Hubbard model on the striped triangular lattice at 3/4 filling
• Phase transitions in the binary-alloy Hubbard model: insight from strong-coupling perturbation theory
• Thermodynamic properties of correlated fermions in lattices with spin-dependent disorder
• Static versus dynamic fluctuations in the one-dimensional extended Hubbard model