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We explore the use of short-range entanglement measures, such as concurrenceand negativity, and global entanglement measures such as geometricentanglement, as indicators of many-body localization (MBL) in the spectra ofdisordered spin systems. From the perspective of entanglement monogamy, the twotypes of entanglement behave oppositely in the thermalized and MBL phases. In arecent work, the concurrence of subsystems, a measure of local entanglement,was used in a study of many-body localization in a one-dimensional spin-$1/2$system (Bera and Lakshminarayan, 2016). We show numerically that the negativitydisplays notably similar behavior for this system, with the advantage that itcan also be extended to systems of higher local dimension. We then demonstratethis extension in practice by using it to predict the existence of an MBL phasein a disordered a spin-1 system. In terms of global entanglement, the geometricentanglement of both spin-$1/2$ and spin-1 systems is also shown to behave as acomplementary indicator of the MBL phenomenon.

Global and short-range entanglement properties in excited, many-body localized spin chains