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We have studied the effect of spin-orbital coupling (SOC) on electronictransport properties of the thermoelectric material$\beta$-K$_{2}$Bi$_{8}$Se$_{13}$ via magnetoresistance (MR) measurements. Wefound that the strong SOC in this material results in weak antilocalization(WAL) effect, which can be well described by the three-dimensional weaklocalization model. The phase coherence length extracted from theoreticalfitting exhibits a power-law temperature dependence with an exponent around2.1, indicating that the electron phase dephasing is governed by electron -transverse phonon interactions. Like in topological insulators, the WAL effectin $\beta$-K$_{2}$Bi$_{8}$Se$_{13}$ can be quenched by magnetic impurities (Mn)but is robust against non-magnetic impurities (Te). Although ourmagnetotransport studies do not provide any evidences for topological surfacestates, our analyses suggest that SOC plays an important role in determiningthermoelectric properties of $\beta$-K$_{2}$Bi$_{8}$Se$_{13}$.

Spin-orbit coupling and weak antilocalization in thermoelectric material $\beta$-K$_{2}$Bi$_{8}$Se$_{13}$