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Coarse-graining renormalization by higher-order singular value decomposition

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arxiv 1201.1144 v4 pith:HNAMQKJI submitted 2012-01-05 cond-mat.stat-mech cond-mat.str-elquant-ph

Z. Y. Xie , J. Chen , M. P. Qin , J. W. Zhu , L. P. Yang , T. Xiang This is my paper · ORCID
classification cond-mat.stat-mechcond-mat.str-elquant-ph
keywords methodisingmodelrenormalizationaccuratedecompositiongrouphigher-order
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We propose a novel coarse graining tensor renormalization group method based on the higher-order singular value decomposition. This method provides an accurate but low computational cost technique for studying both classical and quantum lattice models in two- or three-dimensions. We have demonstrated this method 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. We have also applied the method to study the ground state as well as finite temperature properties for the two-dimensional quantum transverse Ising model and obtain the results which are consistent with published data.

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Cited by 7 Pith papers

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