2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/188775We show the existence of a strong trend between neutron star surface temperature and the dipolar component of the magnetic field extending through three orders of field magnitude, a range that includes magnetars, radio-quiet isolated neutron stars, and many ordinary radio pulsars. We suggest that this trend can be explained by the decay of currents in the crust over a time scale of few Myr. We estimate the minimum temperature that a NS with a given magnetic field can reach in this interpretation.4 pages, 1 figures, version accepted for publication in Phys. Rev. LettAstrophysicstext