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27 April 2024
 
  » arxiv » cond-mat/0102200

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A two-dimensional algorithm of the density matrix renormalization group
Tao Xiang ; Jizhong Lou ; Zhaobin Su ;
Date 12 Feb 2001
Journal Physical Review B 64, 104414 (2001).
Subject Strongly Correlated Electrons; Statistical Mechanics | cond-mat.str-el cond-mat.stat-mech
AbstractWe 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.
Source arXiv, cond-mat/0102200
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