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arXiv · cond-mat/9902126

Non-periodic Ising quantum chains and conformal invariance

Uwe Grimm·Michael Baake
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Abstract

A while ago, Luck (J. Stat. Phys. 72 (1993) 417) investigated the critical behaviour of one-dimensional Ising quantum chains with couplings constants modulated according to general non-periodic sequences. In this short note, we take a closer look at the case where the sequences are obtained from (two-letter) substitution rules and at the consequences of Luck's results at criticality. They imply that only for a certain class of substitution rules the long-distance behaviour is still described by the c=1/2 conformal field theory of a free Majorana fermion as for the periodic Ising quantum chain, whereas the general case does not lead to a conformally invariant scaling limit.

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Uwe Grimm, Michael Baake. 1999-02-09. Non-periodic Ising quantum chains and conformal invariance. https://doi.org/10.1007/bf02188226

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