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Summary
This summary is machine-generated.

This study investigates the Mott metal-insulator transition in a two-band Hubbard model. It reveals three distinct phases: metallic, Mott insulator, and orbital-selective Mott insulator, with Hund’s coupling influencing phase stability.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Mechanics

Background:

  • The Mott metal-insulator transition is a fundamental phenomenon in condensed matter physics.
  • Understanding multi-orbital systems is crucial for designing novel electronic materials.

Purpose of the Study:

  • To investigate the Mott metal-insulator transition in a two-band Hubbard model on a 2D square lattice.
  • To map the phase diagram as a function of hopping amplitudes and Coulomb repulsion.
  • To analyze the impact of Hund's coupling on the electronic phases.

Main Methods:

  • Utilized non-magnetic variational wave functions.
  • Extended methods similar to dynamical mean-field theory (DMFT) in infinite dimensions.
  • Calculated the phase diagram at half filling for varying R (t2/t1) and U (Coulomb repulsion), with J (Hund's coupling) at 0 and 0.1 U.

Main Results:

  • Identified three distinct electronic phases: metallic, Mott insulator, and orbital-selective Mott insulator (OSMI).
  • The phase diagram in two dimensions closely resembles that of infinite dimensions.
  • Hund's coupling favors the full Mott phase over OSMI but stabilizes OSMI at higher R values.

Conclusions:

  • The non-magnetic phase diagram of the two-band Hubbard model is robust across different spatial dimensions.
  • Orbital-selective Mott insulating states emerge and are sensitive to Hund's coupling.
  • This work provides insights into the complex electronic behavior of multi-orbital correlated systems.