1204.3425 (Topi Siro et al.)

Exact diagonalization of the Hubbard model on graphics processing units    [PDF]

Topi Siro, Ari Harju

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.

View original: http://arxiv.org/abs/1204.3425