Tail states and unusual localization transition in low-dimensional Anderson model with power-law hopping

Konstantin S. Tikhonov, Alexey S. Ioselevich, Mikhail V. Feigel'man

We study deterministic power-law quantum hopping model with an amplitude $J(r)\propto -r^{-\beta }$ and local Gaussian disorder in low dimensions $d=1,2$ under the condition $d < β< 3…