  The physics of the solar dark matter (DM) that are captured and thermalise
through the DM-nucleon interaction has been extensively studied. In this work,
we consider the leptophilic DM scenario where the DM particles interact
exclusively with the electrons through the axial-vector coupling. We
investigate relevant phenomenologies in the Sun, including its capture,
evaporation and thermalisation, and we calculate the equilibrium distribution
using the Monte Carlo methods, rather than adopting a semi-analytic
approximation. Based on the analysis, we then determine the minimum testable
mass for which the DM-electron coupling strength can be probed via the neutrino
observation. Compared to the case of the DM-nucleon interaction, it turns out
that minimum detectable mass of the DM-electron interaction is roughly 1 GeV
smaller, and a cross section about two orders of magnitude larger is required
for the saturation of the annihilation signal.
