# 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…

## One Citation

### Improved coarse-graining methods for two dimensional tensor networks including fermions

- PhysicsJournal of High Energy Physics
- 2023

We show how to apply renormalization group algorithms incorporating entanglement filtering methods and a loop optimization to a tensor network which includes Grassmann variables which represent…

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