Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Threshold features in transport through a 1D constriction   Suppression of electron current $ \Delta I$ through a 1D channel of length
$L$ connecting two Fermi liquid reservoirs is studied taking into account the
Umklapp electron-electron interaction induced by a periodic potential. This
interaction causes Hubbard gaps $E_H$ for $L \to \infty$. In the perturbative
regime where $E_H \ll v_c/L$ ($v_c:$ charge velocity), and for small deviations
$\delta n$ of the electron density from its commensurate values $- \Delta I/V$
can diverge with some exponent as voltage or temperature $V,T$ decreases above
$E_c=max(v_c/L,v_c \delta n)$, while it goes to zero below $E_c$. This results
in a nonmonotonous behavior of the conductance.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio