  We investigate the effects of field temperature $T^{(f)}$ on the entanglement
harvesting between two uniformly accelerated detectors. For their parallel
motion, the thermal nature of fields does not produce any entanglement, and
therefore, the outcome is the same as the non-thermal situation. On the
contrary, $T^{(f)}$ affects entanglement harvesting when the detectors are in
anti-parallel motion, i.e., when detectors $A$ and $B$ are in the right and
left Rindler wedges, respectively. While for $T^{(f)}=0$ entanglement
harvesting is possible for all values of $A$'s acceleration $a_A$, in the
presence of temperature, it is possible only within a narrow range of $a_A$. In
$(1+1)$ dimensions, the range starts from specific values and extends to
infinity, and as we increase $T^{(f)}$, the minimum required value of $a_A$ for
entanglement harvesting increases. Moreover, above a critical value $a_A=a_c$
harvesting increases as we increase $T^{(f)}$, which is just opposite to the
accelerations below it. There are several critical values in $(1+3)$ dimensions
when they are in different accelerations. Contrary to the single range in
$(1+1)$ dimensions, here harvesting is possible within several discrete ranges
of $a_A$. Interestingly, for equal accelerations, one has a single critical
point, with nature quite similar to $(1+1)$ dimensional results. We also
discuss the dependence of mutual information among these detectors on $a_A$ and
$T^{(f)}$.
