On the spectrum of Schrödinger-type operators on two dimensional lattices

Shokhrukh Yu. Kholmatov, Saidakhmat N. Lakaev, Firdavsjon M. Almuratov

We consider a family $${\hat{H}}_{a,b}(\mu )={\hat{H}}_0+\mu {\hat{V}}_{a,b}\mu >0,$$ of Schrödinger-type operators on the two dimensional lattice ${\mathbb{Z}}^2,$ where $\wideha…