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In this work, we generalize the spacetime induced by a rotating cosmicstring, taking into account anisotropic effects due the breaking of the Lorentzviolation. In particular, we explore the energy levels of a massive spinlessparticle that is covariantly coupled to a uniform magnetic field aligned withthe string. Subsequently, we introduce a scalar potential featuring both aCoulomb-type and a linear confining term and comprehensively solve theKlein-Gordon equations for each configuration. Finally, by imposing rigid-wallboundary conditions, we determine the Landau levels when the linear defectitself possesses magnetization. Notably, our analysis reveals the occurrence ofLandau quantization even in the absence of gauge fields, provided the stringpossesses spin. Finally, the thermodynamic properties are computed as well inthese scenarios.

An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels