Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A fermionic approach to tunneling through junctions of multiple quantum
  wires   Junctions of multiple one-dimensional quantum wires of interacting electrons
have received considerable theoretical attention as a basic constituent of
quantum circuits. While results have been obtained on these models using
bosonization and Density Matrix Renormalization Group (DMRG) methods, another
powerful technique is based on direct perturbation theory in the bulk
interactions, combined with the Renormalization Group (RG) and summed in the
Random Phase Approximation (RPA). This technique has so far only been applied
to the case where finite length interacting wires are attached to
non-interacting Fermi liquid leads. We reformulate it in terms of the
single-particle S-matrix, formally unifying treatments of junctions of
different numbers of leads, and extend this method to cover the case of
infinite length interacting leads obtaining results on 2-lead and 3-lead
junctions in good agreement with previous bosonization and DMRG results.

8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph