Fixed Point of the Finite System DMRG
Statistical Mechanics
2010-05-20 v1
Abstract
The density matrix renormalization group (DMRG) is a numerical method that optimizes a variational state expressed by a tensor product. We show that the ground state is not fully optimized as far as we use the standard finite system algorithm, that uses the block structure B**B. This is because the tensors are not improved directly. We overcome this problem by using the simpler block structure B*B for the final several sweeps in the finite iteration process. It is possible to increase the numerical precision of the finite system algorithm without increasing the computational effort.
Cite
@article{arxiv.cond-mat/9810241,
title = {Fixed Point of the Finite System DMRG},
author = {H. Takasaki and T. Hikihara and T. Nishino},
journal= {arXiv preprint arXiv:cond-mat/9810241},
year = {2010}
}
Comments
6 pages, 4 figures