Fixed Point of the Finite System DMRG

Details Fixed Point of the Finite System DMRG Fixed Point of the Finite System DMRG

1998-10-20

arxiv.org/abs/cond-mat/9810241v1

J. Phys. Soc. Jpn. 68 (1999) 1537-1540

Physics

Condensed Matter

Statistical Mechanics

6 pages, 4 figures

Scientific paper

10.1143/JPSJ.68.1537

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.

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