A226585 Denominators of the series expansion of the ground-state energy of the Hubbard model in the limits of strong coupling and infinite dimensions.

2, 2, 8, 32, 128, 2048, 55296, 31850496

Offset

2,1

Comments

a(n) is the denominator 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).

References

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).

Links

Table of n, a(n) for n=2..9.

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.

Example

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

Crossrefs

Cf. A226584.

Sequence in context: A351512 A053047 A076143 * A057132 A121197 A219348

Adjacent sequences: A226582 A226583 A226584 * A226586 A226587 A226588

Keyword

nonn,frac,more

Author

Eva Kalinowski, Jun 12 2013

Status

approved