Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transmission Resonances Anomaly in 1D Disordered Quantum Systems   Connections between the electron eigenstates and conductivity of
one-dimensional disordered electron systems is studied in the framework of the
tight-binding model. We show that for weak disorder only part of the states
exhibit resonant transmission and contribute to the conductivity. The rest of
the eigenvalues are not associated with peaks in transmission and the
amplitudes of their wave functions do not exhibit a significant maxima within
the sample. Moreover, unlike ordinary states, the lifetimes of these `hidden'
modes either remain constant or even decrease (depending on the coupling with
the leads) as the disorder becomes stronger. In a wide range of the disorder
strengths, the averaged ratio of the number of transmission peaks to the total
number of the eigenstates is independent of the degree of disorder and is close
to the value $\sqrt{2/5}$, which was derived analytically in the
weak-scattering approximation. These results are in perfect analogy to the
spectral and transport properties of light in one-dimensional randomly
inhomogeneous media, which provides strong grounds to believe that the
existence of hidden, non-conducting modes is a general phenomenon inherent to
1D open random systems, and their fraction of the total density of states is
the same for quantum particles and classical waves.

1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
19
The categories of this paper are: eess
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin