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Robust extended states in Anderson model on partially disordered random regular graphs

Kochergin, Daniil (author)
Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Russia.;Ctr Neurophys & Neuromorph Technol, Lab Complex Networks, Moscow, Russia.
Khaymovich, Ivan M. (author)
Nordita SU
Valba, Olga (author)
Ctr Neurophys & Neuromorph Technol, Lab Complex Networks, Moscow, Russia.;Higher Sch Econ, Moscow, Russia.
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Gorsky, Alexander (author)
Ctr Neurophys & Neuromorph Technol, Lab Complex Networks, Moscow, Russia.;Inst Informat Transmiss Problems, Moscow 127994, Russia.
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Moscow Inst Phys & Technol, Dolgoprudnyi 141700, Russia;Ctr Neurophys & Neuromorph Technol, Lab Complex Networks, Moscow, Russia. Nordita SU (creator_code:org_t)
SCIPOST FOUNDATION, 2024
2024
English.
In: SciPost Physics. - : SCIPOST FOUNDATION. - 2542-4653. ; 16:4
  • Journal article (peer-reviewed)
Abstract Subject headings
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  • 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.

Subject headings

NATURVETENSKAP  -- Matematik (hsv//swe)
NATURAL SCIENCES  -- Mathematics (hsv//eng)

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Kochergin, Danii ...
Khaymovich, Ivan ...
Valba, Olga
Gorsky, Alexande ...
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NATURAL SCIENCES
NATURAL SCIENCES
and Mathematics
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SciPost Physics
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Royal Institute of Technology

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