Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body study of a quantum point contact in the fractional quantum
  Hall regime at v=5/2   We study a quantum point contact in the fractional quantum Hall regime at
Landau level filling factors 1/3 and 5/2. By using exact diagonalizations in
the cylinder geometry we identify the edge modes in the presence of a parabolic
confining potential. By changing the sign of the potential we can access both
the tunneling through the bulk of the fluid and the tunneling between spatially
separated droplets. This geometry is realized in the quantum point contact
geometry for two-dimensional electron gases. In the case of the model
Moore-Read Pfaffian state at filling factor 5/2 we identify the conformal
towers of many-body eigenstates including the non-Abelian sector. By a
Monte-Carlo technique we compute the various scaling exponents that
characterize the edge modes. In the case of hard-core interactions whose ground
states are exact model wavefunction we find equality of neutral and charged
velocities for the Pfaffian state both bosonic and fermionic.

25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom