A two-dimensional algorithm of the density matrix renormalization group
Strongly Correlated Electrons
2009-11-07 v3 Statistical Mechanics
Abstract
We propose a new approach to implement the density matrix renormalization group (DMRG) in two dimensions. With this approach the initial blocks of a L by L lattice are built up directly from the matrix elements of a (L-1) by L-1) lattice and the topological characteristics of two dimensional lattices is preserved in the iteration of DMRG. By applying it to the spin-1/2 Heisenberg model on both square and triangle lattices, we find that this approach is significantly more efficient and accurate than other two-dimensional DMRG methods currently in use.
Cite
@article{arxiv.cond-mat/0102200,
title = {A two-dimensional algorithm of the density matrix renormalization group},
author = {Tao Xiang and Jizhong Lou and Zhaobin Su},
journal= {arXiv preprint arXiv:cond-mat/0102200},
year = {2009}
}
Comments
6 pages, 7 figures, 1 table, minor corrections