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Rotations, Negative Eigenvalues, and Newton Method in Tensor Network Renormalization Group

Nikolay Ebel1,*, Tom Kennedy2,†, and Slava Rychkov1,‡

  • *Contact author: ebelnikola@gmail.com
  • †Contact author: tgk@arizona.edu
  • ‡Contact author: slava@ihes.fr

A practical introduction to tensor network renormalization with TNRKit.jl

Victor Vanthilt, Adwait Naravane, Chenqi Meng, and Atsushi Ueda

SciPost Phys. Codebases 77 (2026)

Lattice and PT symmetries in tensor-network renormalization group: Case study of a hard-square lattice gas model

Xinliang Lyu

Phys. Rev. B 114 034111 (2026)

Lattice-reflection symmetry in tensor-network renormalization group with entanglement filtering in two and three dimensions

Xinliang Lyu and Naoki Kawashima

Phys. Rev. B 113 144109 (2026)

Essential Difference Between 2D and 3D From the Perspective of real-space Renormalization Group

Xinliang Lyu and Naoki Kawashima

J Stat Phys 193 32 (2026)

Transfer matrix and lattice dilatation operator for high-quality fixed points in tensor network renormalization group

Nikolay Ebel, Tom Kennedy, and Slava Rychkov

Phys. Rev. B 112 104424 (2025)

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