Berlin 2012 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 45: Correlated Electrons: Poster Session
TT 45.91: Poster
Donnerstag, 29. März 2012, 15:00–19:00, Poster B
Ground-state energy and beyond: High-accuracy results for the Hubbard model on the Bethe lattice in the strong-coupling limit — •Martin Paech1,2, Eva Kalinowski2, Walter Apel3,1, Gunther Gruber4, Rita Loogen4, and Eric Jeckelmann1 — 1Leibniz Universität, Hannover, Germany — 2Academy of Computer Science and Management, Bielsko-Biała, Poland — 3Physikalisch-Technische Bundesanstalt, Braunschweig, Germany — 4Philipps-Universität, Marburg, Germany
We present critical parameters for the Mott-Hubbard transition on the half-filled Bethe lattice with infinite coordination number with unprecedented accuracy of order 15 in 1/U. This became possible by an essentially improved C implementation of our parallelized diagrammatic-combinatorial computer algorithm for the strong-coupling expansion [1].
Furthermore, we give insight into an on-going graph-theoretical analysis, which is related to an implementation of the algorithm kernel in the functional programming language Haskell [2]. This analysis is a technical prerequisite e. g. for the calculation of the band gap, for precise information about the density of states, or for investigations in finite dimensions and of systems away from half filling.
E. Kalinowski and W. Gluza, submitted to Phys. Rev. B, arXiv:1106.4938v1 (2011).
G. Gruber, Diploma thesis. Marburg: Fachbereich Mathematik und Informatik der Philipps-Universität, 2011.