2010/01/12 by Robert Shrock, Yan Xu · 2 citations
Mathematics · Physics and Astronomy · #Antiferromagnetism #Chiral Potts curve #Condensed matter physics #Cubic crystal system #Cubic function #Entropy (arrow of time) #Geometry #Ground state #Ising model #Lattice (music) #Mathematical physics #Mathematics #Monte Carlo method #Physics #Physics of Superconductivity and Magnetism #Potts model #Quantum many-body systems #Quantum mechanics #Simple (philosophy) #Simple cubic lattice #Square lattice #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.81.031134
published in Physical Review E 81(3), 031134 (American Physical Society) · 7 pages, latex
arxiv created 2010/01/12 · openalex publication_date 2010/03/31 · arxiv updated 2014/08/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate rigorous lower bounds for the ground-state degeneracy per site, W, of the q-state Potts antiferromagnet on slabs of the simple cubic lattice that are infinite in two directions and finite in the third and that thus interpolate between the square (sq) and simple cubic (sc) lattices. We give a comparison with large-q series expansions for the sq and sc lattices and also present numerical comparisons.