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Q-Dependent Susceptibilities in Ferromagnetic Quasiperiodic Z-Invariant Ising Models | | Helen Au-Yang
; Jacques H.H. Perk
; | | Date: |
13 Jun 2006 | | Subject: | Statistical Mechanics | | Abstract: | 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. | | Source: | arXiv, cond-mat/0606301 | | Services: | Forum | Review | PDF | Favorites | |
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