Role of Strong Electronic Correlations in the Metal-To-Insulator Transition <?format ?>in Disordered

F Fazileh, RJ Gooding, WA Atkinson, DC Johnston - Physical review letters, 2006 - APS
Physical review letters, 2006APS
The compound LiAl y Ti 2-y O 4 undergoes a metal-to-insulator transition for yc∼ 0.33. It is
known that disorder alone is insufficient to explain this transition; eg, a quantum site
percolation model predicts yc∼ 0.8. We have included (Hubbard) electronic interactions into
a model of this compound, using a real-space Hartree-Fock approach that achieves self-
consistency at every site, and have found that for a Hubbard energy equal to 1.5 times the
non-interacting bandwidth one obtains yc∼ 0.3. Further, with increasing Hubbard energy we …
The compound undergoes a metal-to-insulator transition for . It is known that disorder alone is insufficient to explain this transition; e.g., a quantum site percolation model predicts . We have included (Hubbard) electronic interactions into a model of this compound, using a real-space Hartree-Fock approach that achieves self-consistency at every site, and have found that for a Hubbard energy equal to 1.5 times the non-interacting bandwidth one obtains . Further, with increasing Hubbard energy we find an Altshuler-Aronov suppression of the density of states, , that reduces the density of states at the Fermi energy to zero at the critical Hubbard interaction. Using this ratio of correlation to hopping energy one is led to a prediction of the near-neighbor superexchange () which is similar to that for the cuprate superconductors.
American Physical Society
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