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| Paper IPM / P / 16230 |
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| Abstract: | |||||||
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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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