Aperiodic quantum XXZ chains: Renormalization-group results
Abstract
We report a comprehensive investigation of the low-energy properties of antiferromagnetic quantum XXZ spin chains with aperiodic couplings. We use an adaptation of the Ma-Dasgupta-Hu renormalization-group method to obtain analytical and numerical results for the low-temperature thermodynamics and the ground-state correlations of chains with couplings following several two-letter aperiodic sequences, including the quasiperiodic Fibonacci and other precious-mean sequences, as well as sequences inducing strong geometrical fluctuations. For a given aperiodic sequence, we argue that in the easy-plane anisotropy regime, intermediate between the XX and Heisenberg limits, the general scaling form of the thermodynamic properties is essentially given by the exactly-known XX behavior, providing a classification of the effects of aperiodicity on XXZ chains. We also discuss the nature of the ground-state structures, and their comparison with the random-singlet phase, characteristic of random-bond chains.
Keywords
Cite
@article{arxiv.cond-mat/0410747,
title = {Aperiodic quantum XXZ chains: Renormalization-group results},
author = {André P. Vieira},
journal= {arXiv preprint arXiv:cond-mat/0410747},
year = {2016}
}
Comments
Minor corrections; published version