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Low-temperature specific heat is measured on the overdopedBa(Fe_{1-x}Co_x)_2As_2 (x = 0.13) single crystal under magnetic fields alongthree different directions. A clear anisotropy is observed on the fielddependent electronic specific heat coefficient {\gamma}(H). The value of{\gamma}(H) is obviously larger with magnetic field along [001] (c-axis) thanthat within the ab-plane of the crystal lattice, which cannot be attributed tothe effect by anisotropy of the upper critical field. Meanwhile, the data showa rather small difference when the direction of the field is rotated from [100]to [110] direction within the ab-plane. Our results suggest that a considerablepart of the line nodes is not excited to contribute to the quasiparticledensity of states by the field when the field is within the ab-plane. Theconstraints on the topology of the gap nodes are discussed based on ourobservations.

A Field-directional Specific Heat Study on the Gap Structure of Overdoped Ba(Fe$_{1-x}$Co$_{x}$)$_{2}$As$_{2}$