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Magnetization, electrical resistivity and specific heat measurements were performed on high-quality single crystalline SmTiAl (residual resistivity ratio 40) grown by Al self-flux method. A Kondo-like $\log T$ dependence in the resistivity is observed below 50 K. We discovered a field-insensitive phase transition at = 6.5 K and a field-insensitive heavy fermion behavior with the electronic specific heat coefficient = 150 mJ/(K mol). Specific heat analysis reveals that the ground state is a quartet state and the Sm magnetic dipole moment ( at 0) orders below in spite of the field-insensitive behavior. Possible reasons for the field insensitiveness will be discussed.

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