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Paper   IPM / Physic / 16230
School of Physics
  Title:   Phase transitions in the binary-alloy Hubbard model: Insights from strong-coupling perturbation theory
1.  E. Adibi
2.  A.R. Habibi
3.  S.A. Jafari
  Status:   Published
  Journal: Phys. Rev. B
  Vol.:  99
  Year:  2019
  Pages:   014204
  Supported by:  IPM
In the binary-alloy with composition AxB1−x of two atoms with ionic energy scales ±∆, an apparent Anderson insulator (AI) is obtained as a result of randomness in the position of atoms. Using our recently developed technique that combines the local self-energy from strong-coupling perturbation theory with the transfer matrix method, we are able to address the problem of adding a Hubbard U to the binary alloy problem for millions of lattice sites on the honeycomb lattice. By adding the Hubbard interaction U, the resulting AI phase will become metallic which in our formulation can be clearly attributed to the screening of disorder by Hubbard U. Upon further increase in U, again the AI phase emerges which can be understood in terms of the suppressed charge fluctuations due to residual Hubbard interaction of which the randomness takes advantage and localizes the quasi-particles of the metallic phase. The ultimate destiny of the system at very large U is to become a Mott insulator (MI). We construct the phase diagram of this model in the plane of (U,∆) for various compositions x.

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