Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mobility Edge in the Anderson model on partially disordered random
  regular graphs   In this Letter we study numerically the Anderson model on partially
disordered random regular graphs (RRG) considered as the toy model for a
Hilbert space of interacting disordered many-body system. The protected
subsector of zero-energy states in a many-body system corresponds to clean
nodes in RRG ensemble. Using adjacent gap ratio statistics and IPR we find the
sharp mobility edge in the spectrum of one-particle Anderson model above some
critical density of clean nodes. Its position in the spectrum is almost
independent on the disorder strength. The possible application of our result
for the controversial issue of mobility edge in the many-body localized (MBL)
phase is discussed.

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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-ex
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-th