Die u:cris Detailansicht:
Residual entropies for three-dimensional frustrated spin systems with tensor networks
- Autor(en)
- Laurens Vanderstraeten, Bram Vanhecke, Frank Verstraete
- Abstrakt
We develop a technique for calculating three-dimensional classical partition functions using projected entangled-pair states (PEPS). Our method is based on variational PEPS optimization algorithms for two-dimensional quantum spin systems, and allows us to compute free energies directly in the thermodynamic limit. The main focus of this work is classical frustration in three-dimensional many-body systems leading to an extensive ground-state degeneracy. We provide high-accuracy results for the residual entropy of the dimer model on the cubic lattice, water ice I-h, and water ice I-c. In addition, we show that these systems are in a Coulomb phase by computing the dipolar form of the correlation functions. As a further benchmark of our methods, we calculate the critical temperature and exponents of the Ising model on the cubic lattice.
- Organisation(en)
- Quantenoptik, Quantennanophysik und Quanteninformation
- Externe Organisation(en)
- Ghent University
- Journal
- Physical Review E
- Band
- 98
- Anzahl der Seiten
- 8
- ISSN
- 2470-0045
- DOI
- https://doi.org/10.1103/PhysRevE.98.042145
- Publikationsdatum
- 10-2018
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103025 Quantenmechanik, 103015 Kondensierte Materie, 103029 Statistische Physik
- Schlagwörter
- ASJC Scopus Sachgebiete
- Condensed Matter Physics, Statistical and Nonlinear Physics, Statistics and Probability
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/09afeb37-cdaa-46d5-ad6f-c2fb42d972ab