  Here, we compare the behavior of the quantum discord, 1-norm geometric
quantum discord and concurrence under the effect of decoherence for XXX
Heisenberg spin chain. Their dependencies on temperature and coupling constant
are presented in detail. By a comparison between them we can see that quantum
discord and 1-norm geometric quantum discord are more robust than the
concurrence against decoherence in the sense that quantum discord and 1-norm
geometric quantum discord takes a nonzero value and decrease asymptotically,
while the concurrence is zero in a large range of parameters including
temperature and coupling constant. Moreover, we find that there is no simple
relative ordering between 1-norm geometric quantum discord and quantum discord.
This result contradicts the information which provided in some papers.
