Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortices and charge order in high-T_c superconductors   We theoretically investigate the vortex state of the cuprate high-temperature
superconductors in the presence of magnetic fields. Assuming the recently
derived nonlinear $\sigma$-model for fluctuations in the pseudogap phase, we
find that the vortex cores consist of two crossed regions of elliptic shape, in
which a static charge order emerges. Charge density wave order manifests itself
as satellites to the ordinary Bragg peaks directed along the axes of the
reciprocal copper lattice. Quadrupole density wave (bond order) satellites, if
seen, are predicted to be along the diagonals. The intensity of the satellites
should grow linearly with the magnetic field, in agreement with the result of
recent experiments.

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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: econ
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
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The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn