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We report a comprehensive investigation of the low-energy properties ofantiferromagnetic quantum XXZ spin chains with aperiodic couplings. We use anadaptation of the Ma-Dasgupta-Hu renormalization-group method to obtainanalytical and numerical results for the low-temperature thermodynamics and theground-state correlations of chains with couplings following several two-letteraperiodic sequences, including the quasiperiodic Fibonacci and otherprecious-mean sequences, as well as sequences inducing strong geometricalfluctuations. For a given aperiodic sequence, we argue that in the easy-planeanisotropy regime, intermediate between the XX and Heisenberg limits, thegeneral scaling form of the thermodynamic properties is essentially given bythe exactly-known XX behavior, providing a classification of the effects ofaperiodicity on XXZ chains. We also discuss the nature of the ground-statestructures, and their comparison with the random-singlet phase, characteristicof random-bond chains.Comment: Minor corrections; published versio

Aperiodic quantumXXZchains: Renormalization-group results