Hubbard physics in the symmetric half-filled periodic anderson-hubbard model

Hagymási, Imre and Itai, Kazumasa and Sólyom, Jenő (2013) Hubbard physics in the symmetric half-filled periodic anderson-hubbard model. JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 62 (10). pp. 1423-1426. ISSN 0374-4884

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Abstract

Two very different methods – exact diagonalization on finite chains and a variational method – are used to study the possibility of a metal-insulator transition in the symmetric half-filled periodic Anderson-Hubbard model. With this aim we calculate the density of doubly occupied d sites (νd) as a function of various parameters. In the absence of on-site Coulomb interaction (Uf ) between f electrons, the two methods yield similar results. The double occupancy of d levels remains always finite just as in the one-dimensional Hubbard model. Exact diagonalization on finite chains gives the same result for finite Uf , while the Gutzwiller method leads to a Brinkman-Rice transition at a critical value (U c d ), which depends on Uf and V .

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