  The Large Hadron Collider(LHC) has completed its run at 8 TeV with the
experiments ATLAS and CMS having collected about 25 $\rm fb^{-1}$ of data each.
Discovery of a light Higgs boson, coupled with lack of evidence for
supersymmetry at the LHC so far, has motivated studies of supersymmetry in the
context of naturalness with the principal focus being the third generation
squarks. In this work, we analyze the prospects of the flavor violating decay
mode $\rm \tilde{t}_1\to c\chi_{1}^{0}$ at 8 and 13 TeV center of mass energy
at the LHC. This channel is also relevant in the dark matter context for the
stop-coannihilation scenario, where the relic density depends on the mass
difference between the lighter stop quark ($\tilde{t}_1$) and the lightest
neutralino($\chi_{1}^{0}$) states. This channel is extremely challenging to
probe, specially for situations when the mass difference between the lighter
stop quark and the lightest neutralino is small. Using certain kinematical
properties of signal events we find that the level of backgrounds can be
reduced substantially. We find that the prospect for this channel is limited
due to the low production cross section for top squarks and limited luminosity
at 8 TeV, but at the 13 TeV LHC with 100 $fb^{-1}$ luminosity, it is possible
to probe top squarks with masses up to $\sim$ 450 GeV. We also discuss how the
sensitivity could be significantly improved by tagging charm jets.
