Derzhko, OlegOlegDerzhkoRichter, J.J.RichterHonecker, AndreasAndreasHoneckerSchmidt, H.-J.H.-J.Schmidt2018-11-072018-11-072007https://resolver.sub.uni-goettingen.de/purl?gro-2/50643The purpose of the present paper is twofold. On the one hand, we review some recent studies on the low-temperature strong-field thermodynamic properties of frustrated quantum spin antiferromagnets which admit the so-called localized-magnon eigenstates. On the other hand, we provide some complementary new results. We focus on the linear independence of the localized-magnon states, the estimation of their degeneracy with the help of auxiliary classical lattice-gas models, and the analysis of the contribution of these states to thermodynamics. (c) 2007 American Institute of Physics.Universal properties of highly frustrated quantum magnets in strong magnetic fieldsconference_paper10.1063/1.2780166000249692500003