A226585 -id:A226585 - cp's OEIS frontend

A226584 Numerators of the series expansion of the ground-state energy of the Hubbard model in the limits of strong coupling and infinite dimensions.

-1, -1, -19, -593, -23877, -4496245, -1588528613, -12927125815211

Offset: 2

Eva Kalinowski, Jun 12 2013

a(n) is the numerator of the sum of the weighted contributions from the A198761(n) ways of electron hopping on all of the A198760(n) initial spin-configurations, see eq. A1 in Phys. Rev. B 85, 045105 (2012).

			-1/2, -1/2, -19/8, -593/32, -23877/128, -4496245/2048, ... = A226584/A226585

Eva Kalinowski, Mott-Hubbard-Isolator in hoher Dimension, Dissertation, Marburg: Fachbereich Physik der Philipps-Universität, 2002.
M. Paech, E. Kalinowski, W. Apel, G. Gruber, R. Loogen, and E. Jeckelmann, Ground-state energy and beyond: High-accuracy results for the Hubbard model on the Bethe lattice in the strong-coupling limit, DPG Spring Meeting, Berlin, TT 45.91 (2012).

E. Kalinowski and W. Gluza, Evaluation of high-order terms for the Hubbard model in the strong-coupling limit, Phys. Rev. B 85 (4), 045105 (2012), 8 pages.
M. Paech, W. Apel, E. Kalinowski and E. Jeckelmann, Comparison of computer-algebra strong-coupling perturbation theory and dynamical mean-field theory for the Mott-Hubbard insulator in high dimensions, Phys. Rev. B 90 (24), 245147 (2014), 10 pages.

Cf. A226585.

cp's OEIS Frontend

A226584 Numerators of the series expansion of the ground-state energy of the Hubbard model in the limits of strong coupling and infinite dimensions.

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