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Log-periodic corrections to scaling: exact results for aperiodic Ising quantum chains

Condensed Matter 2009-10-28 v1

Abstract

Log-periodic amplitudes of the surface magnetization are calculated analytically for two Ising quantum chains with aperiodic modulations of the couplings. The oscillating behaviour is linked to the discrete scale invariance of the perturbations. For the Fredholm sequence, the aperiodic modulation is marginal and the amplitudes are obtained as functions of the deviation from the critical point. For the other sequence, the perturbation is relevant and the critical surface magnetization is studied.

Keywords

Cite

@article{arxiv.cond-mat/9604038,
  title  = {Log-periodic corrections to scaling: exact results for aperiodic Ising quantum chains},
  author = {Dragi Karevski and Loic Turban},
  journal= {arXiv preprint arXiv:cond-mat/9604038},
  year   = {2009}
}

Comments

12 pages, TeX file, epsf, iopppt.tex, xref.tex which are joined. 4 postcript figures