Q-Dependent Susceptibilities in Ferromagnetic Quasiperiodic Z-Invariant Ising Models

Details Q-Dependent Susceptibilities in Ferromagnetic Quasiperiodic Z-Invariant Ising Models Q-Dependent Susceptibilities in Ferromagnetic Quasiperiodic Z-Invariant Ising Models

2006-06-12

arxiv.org/abs/cond-mat/0606301v2

J. Stat. Phys. 127 (2007) 265-286

Physics

Condensed Matter

Statistical Mechanics

LaTeX2e, 26 pages, 9 figures (27 eps files). v2: Misprints corrected

Scientific paper

10.1007/s10955-006-9213-9

We study the q-dependent susceptibility chi(q) of a series of quasiperiodic Ising models on the square lattice. Several different kinds of aperiodic sequences of couplings are studied, including the Fibonacci and silver-mean sequences. Some identities and theorems are generalized and simpler derivations are presented. We find that the q-dependent susceptibilities are periodic, with the commensurate peaks of chi(q) located at the same positions as for the regular Ising models. Hence, incommensurate everywhere-dense peaks can only occur in cases with mixed ferromagnetic-antiferromagnetic interactions or if the underlying lattice is aperiodic. For mixed-interaction models the positions of the peaks depend strongly on the aperiodic sequence chosen.

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