Papers › Exact diagonalization of the Hubbard model on graphics processing units

Exact diagonalization of the Hubbard model on graphics processing units

16 Apr 2012arXiv:1204.3425links table onlyarchive 2025-07-28

Topi Siro, Ari Harju

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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.

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