The Non-Abelian Density Matrix Renormalization Group Algorithm

Abstract

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 $SU(2)\times SU(2)$.

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

References in corpus (1)

• DMRG and the Two Dimensional t-J Model

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