Partition function zeros for aperiodic systems.

DOI10.1007/BF02183349zbMath1080.82502arXivcond-mat/9311017MaRDI QIDQ1593173

Uwe Grimm, Michael Baake, Carmelo Pisani

Publication date: 16 January 2001

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9311017

zbMATH Keywords

phase transitionsIsing modeledge singularitiesLee-Yang zerosgap labelingnonperiodic systems

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) 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 (5)

Quantum Fisher Information and Lee‐Yang Zeros with Quantum Coherence of the Isotropic XY$XY$ Model and the Energy Scale ⋮ Self-similar structure in the distribution and density of the partition function zeros ⋮ Properties of 1D classical and quantum Ising models: rigorous results ⋮ STATISTICAL MECHANICS OF EQUILIBRIUM AND NONEQUILIBRIUM PHASE TRANSITIONS: THE YANG–LEE FORMALISM ⋮ Orthogonal polynomials on the unit circle with Fibonacci Verblunsky coefficients. II. Applications

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