Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body localization as a $d = \infty$ Anderson localization with
  correlated disorder   The disordered many-body systems can undergo a transition from the extended
ensemble to a localized ensemble, known as many-body localization (MBL), which
has been intensively explored in recent years. Nevertheless, the relation
between Anderson localization (AL) and MBL is still elusive. Here we show that
the MBL can be regarded as an infinite-dimensional AL with the correlated
disorder in a virtual lattice. We demonstrate this idea using the disordered
XXZ model, in which the excitation of $d$ spins over the fully polarized phase
can be regarded as a single-particle model in a $d$ dimensional virtual
lattice. With the increasing of $d$, the system will quickly approach the MBL
phase, in which the infinite-range correlated disorder ensures the saturation
of the critical disorder strength in the thermodynamic limit. From the
transition from AL to MBL, the entanglement entropy and the critical exponent
from energy level statics are shown to depend weakly on the dimension,
indicating that belonging to the same universal class. This work clarifies the
fundamental concept of MBL and presents a new picture for understanding the MBL
phase in terms of AL.

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The categories of this paper are: eess
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph