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The chemical potential ($\mu$) dependence of the topological susceptibilitywith two-color two-flavor QCD is studied. We find that at temperature $T\approx T_c /2$, where $T_c$ denotes the critical temperature at zero chemicalpotential, the topological susceptibility is almost constant throughout $0 \leqa\mu \lesssim 1.0$, while at $T\approx T_c$, it decreases significantly fromthe $\mu=0$ value in a high $\mu$ regime.  In this work, we perform the simulation for $\mu/T \le 16$, which covers eventhe low temperature and the high chemical potential regime. In this regime, weintroduce a diquark source term, which is characterized by $j$, into theaction. We also show our results for the phase diagram in a low temperatureregime ($T\approx T_c/2$), which is obtained after taking the $j \to 0$ limitof the diquark condensate and the Polyakov loop.

Topology of two-color QCD at low temperature and high density