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Generalized uncertainty principle puts forward the existence of the shortestdistances and/or maximum momentum at the Planck scale for consideration. Inthis article, we investigate the solutions of a two-dimensionalDuffin-Kemmer-Petiau (DKP) oscillator within an external magnetic field in aminimal length (ML) scale. First, we obtain the eigensolutions in ordinaryquantum mechanics. Then, we examine the DKP oscillator in the presence of an MLfor the spin-zero and spin-one sectors. We determine an energy eigenvalueequation in both cases with the corresponding eigenfunctions in thenon-relativistic limit. We show that in the ordinary quantum mechanic limit,where the ML correction vanishes, the energy eigenvalue equations becomeidentical with the habitual quantum mechanical ones. Finally, we employ theEuler-Mclaurin summation formula and obtain the thermodynamic functions of theDKP oscillator in the high-temperature scale.

Thermal properties of a two-dimensional Duffin-Kemmer-Petiau oscillator under an external magnetic field in the presence of a minimal length