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- W2128616292 abstract "We study the q-dependent susceptibility χ(q) of a Z-invariant ferromagnetic Ising model on a Penrose tiling, as first introduced by Korepin using de Bruijn's pentagrid for the rapidity lines. The pair-correlation function for this model can be calculated exactly using the quadratic difference equations from our previous papers. Its Fourier transform χ(q) is studied using a novel way to calculate the joint probability for the pentagrid neighborhoods of the two spins, reducing this calculation to linear programming. Since the lattice is quasiperiodic, we find that χ(q) is aperiodic and has everywhere dense peaks, which are not all visible at very low or high temperatures. More and more peaks become visible as the correlation length increases—that is, as the temperature approaches the critical temperature." @default.
- W2128616292 created "2016-06-24" @default.
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- W2128616292 date "2007-01-30" @default.
- W2128616292 modified "2023-10-14" @default.
- W2128616292 title "Wavevector-Dependent Susceptibility in Z-Invariant Pentagrid Ising Model" @default.
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- W2128616292 doi "https://doi.org/10.1007/s10955-006-9212-x" @default.
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