Journal
EUROPHYSICS LETTERS
Volume 57, Issue 6, Pages 852-858Publisher
E D P SCIENCES
DOI: 10.1209/epl/i2002-00393-0
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We describe here the extension of the density matrix renormalization group algorithm to the case where the Hamiltonian has a non-Abelian global symmetry group. The block states transform as irreducible representations of the non-Abelian group. Since the representations are multi-dimensional, a single block state in the new representation corresponds to multiple states of the original density matrix renormalization group basis. We demonstrate the usefulness of the construction via the one-dimensional Hubbard model as the symmetry group is enlarged from U(1) x U(1), up to SU(2) x SU(2).
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