Volume 57, Number 6, March 2002
|Page(s)||852 - 858|
|Section||Condensed matter: electronic structure, electrical, magnetic, and optical properties|
|Published online||01 August 2002|
The non-Abelian density matrix renormalization group algorithm
Department of Theoretical Physics,
Institute of Advanced Studies
The Australian National University -
Canberra, ACT 0200, Australia
Accepted: 7 January 2002
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 , up to .
PACS: 71.10.Fd – Lattice fermion models (Hubbard model, etc.) / 75.40.Mg – Numerical simulation studies
© EDP Sciences, 2002
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