The Non-Abelian Density Matrix Renormalization Group Algorithm

Details The Non-Abelian Density Matrix Renormalization Group Algorithm The Non-Abelian Density Matrix Renormalization Group Algorithm

2000-12-18

arxiv.org/abs/cond-mat/0012319v3

Europhys. Lett. 57, 852 (2002)

Physics

Condensed Matter

Strongly Correlated Electrons

Revised version discusses the Hubbard model with SO(4) symmetry

Scientific paper

10.1209/epl/i2002-00393-0

We describe here the extension of the density matrix renormalization group algorithm to the case where 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 $U(1) \times U(1)$, up to $SU(2) \times SU(2)$.

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