Parallelization of the exact diagonalization of the t-t'-Hubbard model

Abstract

We present a new parallel algorithm for the exact diagonalization of the $t-t^{\prime }$-Hubbard model with the Lanczos-method. By invoking a new scheme of labeling the states we were able to obtain a speedup of up to four on 16 nodes of an IBM SP2 for the calculation of the ground state energy and an almost linear speedup for the calculation of the correlation functions. Using this algorithm we performed an extensive study of the influence of the next-nearest hopping parameter $t^{\prime }$ in the $t-t^{\prime }$-Hubbard model on ground state energy and the superconducting correlation functions for both attractive and repulsive interaction.

18 Pages, 1 table, 8 figures, Latex uses revtex, submitted to Comp. Phys. Comm

References in corpus (2)

• Pairing Correlations in the Two-Dimensional Hubbard Model
• Comparison of Calculations for the Hubbard model obtained with Quantum-Monte-Carlo, exact and stochastic Diagonalization

Cited by in corpus (3)

• Enhancement of the d-wave pairing correlations by charge and spin ordering in the spin-one-half Falicov-Kimball model with Hund and Hubbard~coupling
• Screened-interaction expansion for the Hubbard model and determination of the quantum Monte Carlo Fermi surface
• Influence of spin ordering on superconducting correlations in the spin-one-half Falicov-Kimball model with Hund and Hubbard coupling