Tensor network calculation of boundary and corner magnetization

Roman Krcmar; Jozef Genzor; Andrej Gendiar; Tomotoshi Nishino

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arXiv · 2506.17194

Tensor network calculation of boundary and corner magnetization

Roman Krcmar·Jozef Genzor·Andrej Gendiar·Tomotoshi Nishino

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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 $\beta$ accurately.

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Roman Krcmar, Jozef Genzor, Andrej Gendiar, Tomotoshi Nishino. 2025-06-20. Tensor network calculation of boundary and corner magnetization. https://arxiv.org/abs/2506.17194

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