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The effect of temperature on the crust-core transition of a magnetar isstudied. The thermodynamical spinodals are used to calculate the transitionregion within a relativistic mean-field approach for the equation of state.Magnetic fields with intensities $5\times 10^{16}$ G and $5\times 10 ^{17}$ Gare considered. It is shown that the effect on the extension of the crust-coretransition is washed away for temperatures above $10^{9}$ K for magnetic fieldintensities $ \lesssim 5\times 10^{16}$ G but may still persist if a magneticfield as high as $5\times 10 ^{17}$G is considered. For temperatures below thatvalue, the effect of the magnetic field on crust-core transition is noticeableand grows as the temperature decreases and, in particular, it is interesting toidentify the existence of disconnected non-homogeneous matter above the $B=0$crust core transition density. Models with different symmetry energy slopes atsaturation show quite different behaviors. In particular, a model with a largeslope, as suggested by the recent results of PREX-2, predicts the existence ofup to four disconnected regions of non-homogeneous matter above the zeromagnetic field crust-core transition density.

Crust-core transition of a neutron star: effect of the temperature under strong magnetic fields