Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Current conservation in two-dimensional AC-transport   The electric current conservation in a two-dimensional quantum wire under a
time dependent field is investigated. Such a conservation is obtained as the
global density of states contribution to the emittance is balanced by the
contribution due to the internal charge response inside the sample. However
when the global partial density of states is approximately calculated using
scattering matrix only, correction terms are needed to obtain precise current
conservation. We have derived these corrections analytically using a specific
two-dimensional system. We found that when the incident energy $E$ is near the
first subband, our result reduces to the one-dimensional result. As $E$
approaches to the $n$-th subband with $n>1$, the correction term diverges. This
explains the systematic deviation to precise current conservation observed in a
previous numerical calculation.

17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn