Coarse graining tensor renormalization by the higher-order singular value decomposition

Details Coarse graining tensor renormalization by the higher-order singular value decomposition Coarse graining tensor renormalization by the higher-order singular value decomposition

2012-01-05

arxiv.org/abs/1201.1144v2

Physics

Condensed Matter

Statistical Mechanics

5 pages, 7 figures

Scientific paper

We propose a novel coarse graining tensor renormalization group method based on the higher-order singular value decomposition (HOSVD). This method provides an accurate but low computational cost technique for studying two- or three-dimensional (3D) lattice models. The method is demonstrated using the Ising model on the square and cubic lattices. By keeping up to 16 bond basis states, we obtain by far the most accurate numerical renormalization group results for the 3D Ising model.

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