# Anisotropic tensor renormalization group

@article{Adachi2020AnisotropicTR, title={Anisotropic tensor renormalization group}, author={Daiki Adachi and Tsuyoshi Okubo and Synge Todo}, journal={Physical Review B}, year={2020}, volume={102} }

We propose a new tensor renormalization group algorithm, Anisotropic Tensor Renormalization Group (ATRG), for lattice models in arbitrary dimensions. The proposed method shares the same versatility with the Higher-Order Tensor Renormalization Group (HOTRG) algorithm, i.e., it preserves the lattice topology after the renormalization. In comparison with HOTRG, both of the computation cost and the memory footprint of our method are drastically reduced, especially in higher dimensions, by… Expand

#### 17 Citations

Bond-weighted Tensor Renormalization Group

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We propose an improved tensor renormalization group (TRG) algorithm, the bond-weighted TRG (BTRG). In BTRG, we generalize the conventional TRG by introducing bond weights on the edges of the tensor… Expand

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Abstract
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