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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