A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method

Details A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method A Classical Background for the Wave Function Prediction in the Infinite System DMRG Method

2009-11-30

arxiv.org/abs/0911.5601v1

J. Phys. Soc. Jpn. 79 (2010) 044001

Physics

Condensed Matter

Statistical Mechanics

6 pages, 9 figures

Scientific paper

10.1143/JPSJ.79.044001

We report a physical background of the wave function prediction in the infinite system density matrix renormalization group (DMRG) method, from the view point of two-dimensional vertex model, a typical lattice model in statistical mechanics. Singular value decomposition applied to rectangular corner transfer matrices naturally draws matrix product representation for the maximal eigenvector of the row-to-row transfer matrix. The wave function prediction can be expressed as the insertion of an approximate half-column transfer matrix. This insertion process is in accordance with the scheme proposed by McCulloch recently.

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