English

Do tensor renormalization group methods work for frustrated spin systems?

Disordered Systems and Neural Networks 2019-03-20 v1

Abstract

No. To illustrate that tensor renormalization group methods are poorly suited for frustrated magnetic systems, we study the thermodynamic properties of the two-dimensional Edwards-Anderson Ising spin-glass model on a square lattice. We show that the limited precision of standard 64-bit data types and not a small cut-off parameter is the main reason for unphysical negative partition function values in spin glasses.

Keywords

Cite

@article{arxiv.1903.07721,
  title  = {Do tensor renormalization group methods work for frustrated spin systems?},
  author = {Zheng Zhu and Helmut G. Katzgraber},
  journal= {arXiv preprint arXiv:1903.07721},
  year   = {2019}
}

Comments

2 pages, 3 figures, short & sweet

R2 v1 2026-06-23T08:12:09.862Z