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We report the large linear magnetoresistance ($\sim 300\%$ in 9 T field at 2K) and magnetothermopower in layered SrZnSb$_2$ crystal withquasi-two-dimensional Sb layers. A crossover from the semiclassical parabolicfield dependent magnetoresistance to linear field dependent magnetoresistancewith increasing magnetic field is observed. The magnetoresistance behavior canbe described very well by combining the semiclassical cyclotron contributionand the quantum limit magnetoresistance. Magnetic field also enhances thethermopower. Our results can be well understood by the magnetotransport ofDirac states in the bulk band structure.

Large linear magnetoresistance and magnetothermopower in layered SrZnSb$_2$