  Short gamma-ray bursts (GRBs) are the aftermath of compact binary mergers
involving neutron stars. If the merger remnant is a millisecond magnetar
instead of a black hole, a significant proportion of the rotational energy
deposited to the emerging ejecta can produce a late-time radio brightening from
its interaction with the ambient medium. Detection of this late-time radio
emission from short GRBs can have profound implications for understanding the
physics of the progenitor. We report the radio observations of five short GRBs
- 050709, 061210, 100625A, 140903A, and 160821B using the Giant Metrewave Radio
Telescope (GMRT) at 1250, 610, and 325 MHz frequencies after $\sim$ $2 - 11$
years from the time of the burst. The GMRT observations at low frequencies are
particularly important to detect the signature of merger ejecta emission at the
peak. These observations are the most delayed searches associated with some of
these GRBs for any late-time low-frequency emission. We find no evidence for
such an emission. We find that none of these GRBs are consistent with maximally
rotating magnetar with a rotational energy of $\sim 10^{53}\, {\rm ergs}$.
However, magnetars with lower rotational energies cannot be completely ruled
out. Despite the non detection, our study underscores the power of radio
observations in the search for magnetar signatures associated with short GRBs.
However, only future radio observatories may have the capabilities to either
detect these signatures or put more stringent constraints on the model.
