Self-Consistent Pair Correlations in Mott-Type Insulators
- 15 July 1967
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 159 (3), 768-774
- https://doi.org/10.1103/PhysRev.159.768
Abstract
A simple cubic hydrogenic lattice with the Hubbard Hamiltonian is used as a model for Mott-type insulators. A new self-consistent approximation is developed by the decoupling of four-particle Green's functions, leading to a higher-order Hartree-like eigenvalue equation for electron-hole Green's functions. This equation is an improvement over the previously used approximation. The solution of the eigenvalue equation leads to the conjecture that an exact solution (i.e., one without decoupling) would result in each atom having exactly one electron.
Keywords
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