Tensor Network Calculation of the Logarithmic Correction Exponent in the XY Model

@article{Hong2022TensorNC,
  title={Tensor Network Calculation of the Logarithmic Correction Exponent in the XY Model},
  author={Seongpyo Hong and Dong-Hee Kim},
  journal={Journal of the Physical Society of Japan},
  year={2022}
}
We study the logarithmic correction to the scaling of the first Lee-Yang (LY) zero in the classical XY model on square lattices by using tensor renormalization group methods. In comparing the higher-order tensor renormalization group (HOTRG) and the loop-optimized tensor network renormalization (LoopTNR), we find that the entanglement filtering in LoopTNR is crucial to gaining high accuracy for the characterization of the logarithmic correction, while HOTRG still proposes empirical bounds… 

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