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The Letter by N. Y. Yao et. al. [1,2] presents three models for realizing amany-body localized discrete time-crystal (MBL DTC): a short-ranged model [1],its revised version [2], as well as a long-range model of a trapped ionexperiment [1,3]. We show that none of these realize an MBL DTC for theparameter ranges quoted in Refs. [1,2]. The central phase diagrams in [1]therefore cannot be reproduced. The models show rapid decay of oscillationsfrom generic initial states, in sharp contrast to the robust period doublingdynamics characteristic of an MBL DTC. Long-lived oscillations from specialinitial states (such as polarized states) can be understood from the familiarlow-temperature physics of a static transverse field Ising model, rather thanthe nonequilibrium physics of an eigenstate-ordered MBL DTC. Our results on thelong-range model also demonstrate, by extension, the absence of an MBL DTC inthe trapped ion experiment of Ref. [3].

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