English

Tensor network calculation of boundary and corner magnetization

Statistical Mechanics 2025-06-23 v1

Abstract

The Corner Transfer Matrix Renormalization Group (CTMRG) algorithm is modified to measure the magnetization at the boundary of the system, including the corners of the square-shaped lattice. Using automatic differentiation, we calculate the magnetization's first derivative, allowing us to determine the boundary critical exponent β\beta accurately.

Keywords

Cite

@article{arxiv.2506.17194,
  title  = {Tensor network calculation of boundary and corner magnetization},
  author = {Roman Krcmar and Jozef Genzor and Andrej Gendiar and Tomotoshi Nishino},
  journal= {arXiv preprint arXiv:2506.17194},
  year   = {2025}
}
R2 v1 2026-07-01T03:26:59.051Z