\(T=0\) partition functions for Potts antiferromagnets on lattice strips with fully periodic boundary conditions
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Publication:1841394
DOI10.1016/S0378-4371(00)00544-6zbMath0972.82032arXivcond-mat/0007491OpenAlexW3104471710MaRDI QIDQ1841394
Shu-Chiuan Chang, Robert Shrock
Publication date: 27 February 2001
Published in: Physica A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/cond-mat/0007491
Related Items (11)
Structure of the partition function and transfer matrices for the Potts model in a magnetic field on lattice strips ⋮ Phase diagram of the triangular-lattice Potts antiferromagnet ⋮ q-plane zeros of the Potts partition function on diamond hierarchical graphs ⋮ Phase diagram of the chromatic polynomial on a torus ⋮ Exact chromatic polynomials for toroidal chains of complete graphs ⋮ Chromatic polynomials for lattice strips with cyclic boundary conditions ⋮ Zeros of Jones polynomials for families of knots and links ⋮ Potts model partition functions for self-dual families of strip graphs ⋮ Asymptotic behavior of acyclic and cyclic orientations of directed lattice graphs ⋮ General structural results for Potts model partition functions on lattice strips ⋮ Partition function zeros at first-order phase transitions: a general analysis
Cites Work
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- Limits of chromatic zeros of some families of maps
- Absence of phase transition for antiferromagnetic Potts models via the Dobrushin uniqueness theorem
- Approximations for chromatic polynomials
- \(T=0\) partition functions for Potts antiferromagnets on Möbius strips and effects of graph topology
- Recursive families of graphs
- Chromatic polynomials of large triangular lattices
- Colouring Square Lattice Graphs
- Ground state entropy of Potts antiferromagnets on cyclic polygon chain graphs
- A new 5‐arc‐transitive cubic graph
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