25–29 Aug 2025
NCTS-Phys Lecture Hall, 4F, Chee-Chun Leung Cosmology Hall, National Taiwan University
Asia/Taipei timezone

Extraction of Conformal Data in Critical Two-Dimensional Classical Models using Tensor Networks Renormalization

25 Aug 2025, 16:30
1h
Invited talk Invited talk

Speaker

Prof. Po-Chung Chen (NTHU)

Description

We propose a scheme to extract the conformal data of critical two-dimensional classical models from tensor network renormalization based finite-size scaling. The key point is to identify the length scale below which the system is in the finite-size scaling regime. The scheme can work with any tensor network renormalization method that preserves the translation invariance. In particular, we benchmark against three tensor network renormalization methods: HOTRG, PTMRG, and CTRG. In this work, we apply the scheme to 2D Ising model and 3-state clock model at criticality. Our results show that all conformal data can be extracted with high accuracy. Moreover, we show how to define entanglement scaling for 2D classical systems, from which the central charge can be extracted accurately.

Primary author

Prof. Po-Chung Chen (NTHU)

Presentation materials

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