(a) Three-sublattice AF-ordered ground-state configuration. Shown also is the probability of sites on the B sublattice being in one Potts state σi different from that of the A sites. (b) Magnetization of the A sublattice. the user has read and agrees to our Terms and To address this, we have been improving access via several different mechanisms. the user has read and agrees to our Terms and (a) Union jack lattice. These Potts models still have variables taking values 1, …,Q but they have a set of complicated multispin interactions. (b) Definition of tensors for each unit cell of the diced lattice. (b) Magnetization of the A sublattice. Many researchers now find themselves working away from their institutions and, thus, may have trouble accessing the Physical Review journals. This question is important since Delfino and Tartaglia recently showed that a second-order transition in a five-state Potts antiferromagnet is allowed, and the bisected-hexagonal lattice had emerged as a candidate for such a transition on numerical grounds. Sites in sublattices A (red circles) and B (blue) have coordination numbers zA=zB=8, while those in sublattice C (yellow) have zC=4. The results are obtained by iTEBD with D=30. Use of the American Physical Society websites and journals implies that And we hope you, and your loved ones, are staying safe and healthy. Agreement. The index gives the lattice name in the terminology explained in the text. (b) After a SVD of the local tensor following alternating “stretching” directions on the two different sublattices, the square-lattice tensor network is transformed to one on the Archimedean (4,82) lattice (Fig. Royal Soc. Subscription A sites (red) have zA=6, while B sites (blue) have zB=3. Nevertheless, the extrapolation to infinite volume is hampered by strong scaling corrections. (a) q=4. Magnetization of the A sublattice for the AF q=4 Potts model on the union jack lattice. DOI:https://doi.org/10.1103/RevModPhys.77.137, Conrad J. Pérez Vicente‡ and Félix Ritort§, To celebrate 50 years of enduring discoveries, APS is offering 50% off APCs for any manuscript submitted in 2020, published in any of its hybrid journals: PRL, PRA, PRB, PRC, PRD, PRE, PRApplied, PRFluids, and PRMaterials. (b) q=5. Thermodynamic properties of the q=4 Potts model on the IA lattice of Fig. Through this difficult time APS and the Physical Review editorial office are fully equipped and actively working to support researchers by continuing to carry out all editorial and peer-review functions and publish research in the journals as well as minimizing disruption to journal access. ©2020 American Physical Society. (a) Entropy and specific heat obtained by iTEBD with D=40. Subscription (a) The original tensor network on the square lattice representing the partition function as in Eq. Magnetization of the A sublattice for the AF Potts model on the centered diced lattice. (b) Magnetization of the A sublattice. The Potts model plays an essential role in classical statistical mechanics, illustrating many fundamental phenomena. Use of the American Physical Society websites and journals implies that https://doi.org/10.1103/RevModPhys.77.137, Physical Review Physics Education Research, Log in with individual APS Journal Account », Log in with a username/password provided by your institution », Get access through a U.S. public or high school library ». The results are obtained by iTEBD with D=30. (b) Definition of the transfer matrix and corresponding matrix-product state. DOI:https://doi.org/10.1103/PhysRevB.90.144424, M. P. Qin1, Q. N. Chen2,*, Z. Y. Xie1, J. Chen1, J. F. Yu1, H. H. Zhao1, B. Normand3, and T. Xiang1,4, To celebrate 50 years of enduring discoveries, APS is offering 50% off APCs for any manuscript submitted in 2020, published in any of its hybrid journals: PRL, PRA, PRB, PRC, PRD, PRE, PRApplied, PRFluids, and PRMaterials. (a) JAB≫|JC|. the user has read and agrees to our Terms and (d) SVD of a local tensor, defined by Eq. The results are obtained by iTEBD with D=40. (c) Local action of a transfer matrix on a matrix-product state as shown in Eq. COVID-19 has impacted many institutions and organizations around the world, disrupting the progress of research. (a) Entropy and specific heat. JAB is fixed to 1. (a) Entropy and specific heat. The Potts model plays an essential role in classical statistical mechanics, illustrating many fundamental phenomena. The specific heat, shown in red, has a divergence at the phase transition. (a) Generalized decorated square lattice. Inset: corresponding susceptibility χ=∂M/∂H. The dashed green line is the entropy derived from the q=3 Potts model on the decorated square lattice, which is relevant (see text) if either the A or the B sublattice is ordered.

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