Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electron pairs' sliding states in superconductivity   A quantum-mechanical model of Cu-O-Cu-O four-center four-electron part of the
copper-oxide plane embedded in a superconducting crystal La$_{2-x}$Sr$%
_{x}$CuO$_{4}$ (LSCO) is considered. It is shown that displacing the
nearest-neighbor La(Sr)O plane lattice atoms off by a distance as small as $\pm
0.1$ angstrem, i.e. of the order of ground state vibrations dictated by the
Heisenberg uncertainty principle, may trigger a dramatic change of the ground
state electronic charge distribution in the CuOCuO system. This results in the
electron pairs' concerted sliding within the system over distances about 2
angstrem , i.e. close to the copper oxygen atomic distance. The effect depends
crucially on the lattice crystal field and doping. The appearance of energy
gaps associated with the electronic states' avoided crossings points to a
universal nature of the phenomenon. The results suggest a generalization of the
models used up to now in description of strongly correlated electrons.

10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
3
The categories of this paper are: physics
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph