Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement entropy and particle number cumulants of disordered
  fermions   We study the entanglement entropy and particle number cumulants for a system
of disordered noninteracting fermions in $d$ dimensions. We show, both
analytically and numerically, that for a weak disorder the entanglement entropy
and the second cumulant (particle number variance) are proportional to each
other with a universal coefficient. The corresponding expressions are analogous
to those in the clean case but with a logarithmic factor regularized by the
mean free path rather than by the system size. We also determine the scaling of
higher cumulants by analytical (weak disorder) and numerical means. Finally, we
predict that the particle number variance and the entanglement entropy are
nonanalytic functions of disorder at the Anderson transition.

21
The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
1
The categories of this paper are: cs
18
The categories of this paper are: econ
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The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
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The categories of this paper are: alg-geom