Exploring interior magnetic-field in neutron stars

Neutron stars are well known as a good laboratory to test high-density material. Magnetic field on the stars is relevant to some astrophysical phenomena, and understanding the effect is crucial to extract information of the stellar interior. In this talk, I start with discussing some evidence and implications for intense magnetic field, and focus on the magneto-elastic equilibrium in the solid crust. The study leads to upper limit of deformation, and beyond a threshold crustal fracture observed burst on strongly magnetized neutron stars. The model is still primitive, and further development is desirable to connect micro-physics with astrophysical observation.