TY - JOUR
T1 - Tensor network algorithm by coarse-graining tensor renormalization on finite periodic lattices
AU - Zhao, Hui Hai
AU - Xie, Zhi Yuan
AU - Xiang, Tao
AU - Imada, Masatoshi
N1 - Publisher Copyright:
© 2016 American Physical Society.
PY - 2016/3/9
Y1 - 2016/3/9
N2 - We develop coarse-graining tensor renormalization group algorithms to compute physical properties of two-dimensional lattice models on finite periodic lattices. Two different coarse-graining strategies, one based on the tensor renormalization group and the other based on the higher-order tensor renormalization group, are introduced. In order to optimize the tensor network model globally, a sweeping scheme is proposed to account for the renormalization effect from the environment tensors under the framework of second renormalization group. We demonstrate the algorithms by the classical Ising model on the square lattice and the Kitaev model on the honeycomb lattice, and show that the finite-size algorithms achieve substantially more accurate results than the corresponding infinite-size ones.
AB - We develop coarse-graining tensor renormalization group algorithms to compute physical properties of two-dimensional lattice models on finite periodic lattices. Two different coarse-graining strategies, one based on the tensor renormalization group and the other based on the higher-order tensor renormalization group, are introduced. In order to optimize the tensor network model globally, a sweeping scheme is proposed to account for the renormalization effect from the environment tensors under the framework of second renormalization group. We demonstrate the algorithms by the classical Ising model on the square lattice and the Kitaev model on the honeycomb lattice, and show that the finite-size algorithms achieve substantially more accurate results than the corresponding infinite-size ones.
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U2 - 10.1103/PhysRevB.93.125115
DO - 10.1103/PhysRevB.93.125115
M3 - Article
AN - SCOPUS:84960847822
VL - 93
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
SN - 2469-9950
IS - 12
M1 - 125115
ER -