An Improved Initialization Procedure for the Density-Matrix Renormalization Group(General)

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概要

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• We propose an initialization procedure for the density-matrix renormalization group (DMRG): the recursive sweep method. In a conventional DMRG calculation, the infinite-system algorithm, where two new sites are added to the system at each step, has been used to achieve the target system size. We then need to obtain the ground state for a different system size for every site addition. Thus, 1) it is difficult to supply a good initial vector for the numerical diagonalization for the ground state, and 2) when the system reduced to a 1D one that consists of an array of nonequivalent sites as in the case of ladders or in the Hubbard-Holstein model, special care has to be taken. Our procedure, which we call the recursive sweep method, provides a solution to these problems and in fact provides a faster algorithm for the Hubbard model and the complicated ones such as the Hubbard-Holstein model.

• 社団法人日本物理学会の論文
• 2007-05-15

著者

• Tezuka Masaki

  Department Of Physics Kyoto University

• Tezuka Masaki

  Department Of Physics University Of Tokyo:(present Office)department Of Physics Tokyo Institute Of T

関連論文

• Ultracold Fermi atom condensates : effects of disorder and imbalance in 1D(New Development of Numerical Simulations in Low-Dimensional Quantum Systems: From Density Matrix Renormalization Group to Tensor Network Formulations)
• An Improved Initialization Procedure for the Density-Matrix Renormalization Group(General)

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