Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thouless energy and multifractality across the many-body localization
  transition   Thermal and many-body localized phases are separated by a dynamical phase
transition of a new kind. We analyze the distribution of off-diagonal matrix
elements of local operators across the many-body localization transition (MBLT)
in a disordered spin chain, and use it to characterize the breakdown of the
eigenstate thermalization hypothesis and to extract the many-body Thouless
energy. We find a wide critical region around the MBLT, where Thouless energy
becomes smaller than the level spacing, while matrix elements show critical
dependence on the energy difference. In the same region, matrix elements,
viewed as amplitudes of a fictitious wave function, exhibit strong
multifractality. Our findings show that the correlation length becomes larger
than the accessible system sizes in a broad range of disorder strength values,
and shed light on the critical behaviour of MBL systems.

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The categories of this paper are: cs
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
27
The categories of this paper are: comp-gas