scientific article; zbMATH DE number 1064719

zbMath0901.60078arXivcond-mat/9604116MaRDI QIDQ4356055

Michael Baake, Uwe Grimm

Publication date: 17 November 1997

Full work available at URL: https://arxiv.org/abs/cond-mat/9604116

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zbMATH Keywords

critical behaviourquantum modelIsing quantum chainaperiodic graphsnonperiodic Ising modelsone-dimensional Ising chain

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Wavevector-dependent susceptibility in \(Z\)-invariant pentagrid Ising model ⋮ \(Q\)-dependent susceptibilities in ferromagnetic quasiperiodic \(Z\)-invariant Ising models ⋮ An algorithm for periodicity and almost periodicity of uniform substitution sequences and its implications on aperiodic spin models ⋮ Properties of 1D classical and quantum Ising models: rigorous results ⋮ On the spectrum of 1D quantum Ising quasicrystal

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