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Generalized spin density wave state of the Hubbard model on the C12 and C60 clusters | L. Bergomi
; J. P. Blaizot
; Th. Jolicoeur
; E. Dagotto
; | Date: |
14 Oct 1992 | Subject: | cond-mat | Abstract: | The one-band Hubbard model at half-filling on a truncated tetrahedron (C$_{12}$), and on the C$_{60}$ molecule is studied. Within the Hartree-Fock approximation, we find a magnetic-like instability of the `Fermi sea’ towards a spin-ordered phase for an intermediate value of the coupling ${
m (U/t)_c}approx 2.6$. The ordered phase presents a spin arrangement similar to that of the classical Heisenberg model defined on the same clusters. We study the linear excitations around the Hartree-Fock ground states using the random-phase approximation. On a finite cluster, we expect that these results signal the presence of a $rapid$ $crossover$ between a paramagnetic region and a regime where spin correlations are important. The relationship with the Heisenberg limit (large ${
m U/t}$) is discussed. Finally, we comment on implications of our results for purely repulsive models of superconductivity in alkali-metal-doped fullerenes. | Source: | arXiv, cond-mat/9210011 | Services: | Forum | Review | PDF | Favorites |
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