We study deformed neutron halo nuclei in the mass region $40<A<90$ and their soft electric dipole $\left(E1\right)$ excitations based on the deformed relativistic Hartree-Bogoliubov theory in continuum. Three candidates, ${}^{43}\mathrm{Si}$, ${}^{69}\mathrm{Ti}$, and ${}^{75}\mathrm{Cr}$, are selected for detailed analysis. Unique features are identified in the decoupled densities of possible $s$- and $p$-wave deformed halo nuclei in this mass region, which are influenced by large high-$l$ configurations. It is shown that the dipole response is a highly sensitive observable to detect the halo component of the single-particle wave function in deformed halo nuclei, and it helps identify the configuration and the magnitude of deformation for halo nuclei in the $40<A<90$ mass region. Experimental confirmation of the dipole strength in the low-energy region is highly desirable to explore possible deformed halo candidates in the medium-heavy mass region.

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• Coulomb dissociation
• Electromagnetic transitions
• 39 ≤ A ≤ 58
• 59 ≤ A ≤ 89
• Nuclear density functional theory