Finite-size scaling on the torus with periodic projected entangled-pair states
Projected entangled pair states (PEPS) provide a powerful variational class for strongly correlated ground states in two dimensions, but how to apply them to clusters with periodic boundary conditions was an open question. To solve this problem, a novel algorithm is introduced to contract PEPS on a torus and variational ground state optimization is performed using gradient methods in combination with state-of-the-art automatic differentiation. The authors observe finite-size scaling of critical (2+1)d quantum models and use this to successfully extract scaling dimensions.
Authors
- Gleb Fedorovich (ORCID: https://orcid.org/0000-0002-7664-0384)
- Jutho Haegeman (ORCID: https://orcid.org/0000-0002-0858-291X)
- Lukas Devos
- Laurens Vanderstraeten (ORCID: https://orcid.org/0000-0002-3227-9822)
- Atsushi Ueda (ORCID: https://orcid.org/0000-0003-1884-6808)
- Frank Verstraete
Institutions
- Université Libre de Bruxelles (BE)
- University of Cambridge (GB)
- Ghent University Hospital (BE)
Publication Details
- Journal
- Physical review. B./Physical review. B
- Published
- 2025-04-14
- DOI
- https://doi.org/10.1103/physrevb.111.165124
- Citations
- 1
- Primary Topic
- Quantum many-body systems
- Type
- article
- Field-Weighted Citation Impact
- 1.25
Funders
- Fonds Wetenschappelijk Onderzoek
- Universiteit Gent
- University of Tokyo
- Japan Society for the Promotion of Science