Non-periodic Ising quantum chains and conformal invariance
Preprint
- 9 February 1999
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.Keywords
All Related Versions
- Version 1, 1999-02-09, ArXiv
- Published version: Journal of Statistical Physics, 74 (5), 1233.
This publication has 0 references indexed in Scilit: