Exact diagonalization of the Hubbard model on graphics processing units
Aalto University School of Science, P.O. Box 14100, 00076 Aalto, Finland
arXiv:1204.3425v1 [physics.comp-ph] (16 Apr 2012)
@U{2012arXiv1204.3425S,
author={Siro}, T. and {Harju}, A.},
title={"{Exact diagonalization of the Hubbard model on graphics processing units}"},
journal={ArXiv e-prints},
archivePrefix={"arXiv"},
eprint={1204.3425},
primaryClass={"physics.comp-ph"},
keywords={Physics – Computational Physics, Condensed Matter – Strongly Correlated Electrons},
year={2012},
month={apr},
adsurl={http://adsabs.harvard.edu/abs/2012arXiv1204.3425S},
adsnote={Provided by the SAO/NASA Astrophysics Data System}
}
We solve the Hubbard model with the exact diagonalization method on a graphics processing unit (GPU). We benchmark our GPU program against a sequential CPU code by using the Lanczos algorithm to solve the ground state energy in two cases: a one-dimensional ring and a two-dimensional square lattice. In the one-dimensional case, we obtain speedups of over 100 and 60 in single and double precision arithmetic, respectively. In the two-dimensional case, the corresponding speedups are over 110 and 70.
April 17, 2012 by hgpu
