Gaps in the spectrum of a periodic quantum graph with periodically distributed ${\delta }^{\prime }$-type interactions

Diana Barseghyan, Andrii Khrabustovskyi

We consider a family of quantum graphs $\{(\Gamma ,{\mathcal{A}}_{\epsilon }){\}}_{\epsilon >0}$, where $\Gamma$ is a ${\mathbb{Z}}^n$-periodic metric graph and the periodic Hamiltonian $\mathcal…