Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative connection between the nanoscale electronic inhomogeneity
  and the pseudogap of Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ superconductors   We have found a quantitative connection between the evolution of the
inhomogeneous nanoscale electronic gaps (INSEG) state detected in
Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ by scanning tunneling
microscopy/spectroscopy (STM/S) and the two universal, the upper and the lower,
pseudogaps in high-temperature cuprate superconductors (HTCS). When the doping
and temperature dependent INSEG map were analyzed by using our proposed
hole-scale, we find that the two pseudogaps are connected to two specific
coverages of the CuO$_2$ plane by INSEG: the 50\% and 100\% coverages of the
CuO$_2$ planes by INSEG correspond to the upper and lower pseudogaps,
respectively. This quantitative connection to the two pseudogaps indicates that
the origin of the measured pseudogap energies and temperatures are intimately
related to the geometrical coverage of the CuO$_2$ planes by the INSEG state.
We find that INSEG and superconductivity coexist in the underdoped to the
overdoped regimes. We suggest that pseudogap states are microscopically
inhomogeneous and 100\% coverage of the CuO$_2$ planes by the INSEG is a
necessary condition for the high-$T_c$ superconductivity.

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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ph
2
The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph