Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase-coherent thermoelectricity and non-equilibrium Josephson current
  in Andreev interferometers   We develop a detailed theory describing a non-trivial interplay between
non-equilibrium effects and long-range quantum coherence in superconducting
hybrid nanostructures exposed to a temperature gradient. We establish a direct
relation between thermoelectric and Josephson effects in such structures and
demonstrate that at temperatures exceeding the Thouless energy of our device
both phase-coherent thermoelectric signal and the supercurrent may be strongly
enhanced due to non-equilibrium low energy quasiparticles propagating across
the system without any significant phase relaxation. By applying a temperature
gradient one can drive the system into a well pronounced $\pi$-junction state,
thereby creating novel opportunities for applications of Andreev
interferometers.

2
The categories of this paper are: math
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph