TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.4.106
TI  - Robust extended states in Anderson model on partially disordered random regular graphs
PY  - 2024/04/19
UR  - https://scipost.org/SciPostPhys.16.4.106
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 4
SP  - 106
A1  - Kochergin, Daniil
AU  - Khaymovich, Ivan M.
AU  - Valba, Olga
AU  - Gorsky, Alexander S.
AB  - In this work we analytically explain the origin of the mobility edge in the partially disordered random regular graphs of degree d, i.e., with a fraction $\beta$ of the sites being disordered, while the rest remain clean. It is shown that the mobility edge in the spectrum survives in a certain range of parameters (d,$\beta$) at infinitely large uniformly distributed disorder. The critical curve separating extended and localized states is derived analytically and confirmed numerically. The duality in the localization properties between the sparse and extremely dense RRG has been found and understood.
ER  -

@Article{10.21468/SciPostPhys.16.4.106,
	title={{Robust extended states in Anderson model on partially disordered random regular graphs}},
	author={Daniil Kochergin and Ivan M. Khaymovich and Olga Valba and Alexander Gorsky},
	journal={SciPost Phys.},
	volume={16},
	pages={106},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.4.106},
	url={https://scipost.org/10.21468/SciPostPhys.16.4.106},
}