On the distribution and gap structure of Lee-Yang zeros for the Ising model: Periodic and aperiodic couplings

DOI10.1023/A:1010332500031zbMath0989.82015OpenAlexW302158694MaRDI QIDQ5949302

João C. A. Barata, Pedro S. Goldbaum

Publication date: 19 November 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010332500031

zbMATH Keywords

Fibonacciperiodic boundary conditionsaperiodic systemsBethe latticedistribution of Lee-Yang zerosferromagnetic Ising modelrooted Cayley treesubstitution rulesThue-Morse sequences

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (13)

On buried points and phase transition points in the Julia sets concerning renormalization transformation ⋮ Julia sets, Hausdorff dimension and phase transition ⋮ Lee-Yang zeros of the antiferromagnetic Ising model ⋮ Self-similar structure in the distribution and density of the partition function zeros ⋮ Properties of 1D classical and quantum Ising models: rigorous results ⋮ The Ising partition function: zeros and deterministic approximation ⋮ Location of zeros for the partition function of the Ising model on bounded degree graphs ⋮ On quasi-discs and Fatou components of a family of rational maps concerning renormalization transformation ⋮ Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications ⋮ Misiurewicz points on the Mandelbrot-like set concerning renormalization transformation ⋮ Feigenbaum Julia sets of singularities of free energy ⋮ More on zeros and approximation of the Ising partition function ⋮ Limiting measure of Lee-Yang zeros for the Cayley tree

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