Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement spectrum edge reconstruction and correlation hole of the
  FQH liquids   The edge of the electronic fractional quantum Hall (FQH) system obeys the law
of the chiral Luttinger liquid theory due to its intrinsic topological
properties and the relation of bulk-edge correspondence. However, in a
realistic experimental system, such as the usual Hall bar setup, the soften of
the background confinement potential can induce the reconstruction of the edge
spectrum which breaks the chirality and universality of the FQH edge. The
entanglement spectrum (ES) of the FQH ground state has the same counting
structure as that in the energy spectrum indicating the topological characters
of the quantum state. In this work, we report that the ES can also have an edge
reconstruction while sweeping the area of the sub-system in real space cut.
Moreover, we found the critical area of the sub-system matches accurately with
the intrinsic building block of the fractional quantum Hall liquids, namely the
correlation hole of the FQH liquids. The above results seem like be universal
after our studying a series of typical FQH states, such as two Laughlin states
at $\nu = 1/3$ and $\nu = 1/5$, and the Moore-Read state for $\nu = 5/2$.

20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: stat