Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Competing Order in the Mixed State of High Temperature Superconductors   We examine the low temperature behavior of the mixed state of a layered
superconductor in the vicinity of a quantum critical point separating a pure
superconducting phase from a phase in which a competing order coexists with
superconductivity. At zero temperature, we find that there is an avoided
critical point in the sense that the phase boundary in the limit $B\to 0$ does
not connect to the B=0 critical point. Consequently, there exists a quasi-1D
regime of the phase diagram, in which the competing order is largely confined
to 1D ``halos'' about each vortex core, and in which interactions between
neighboring vortices, although relevant at low temperature, are relatively
weak.

17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
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The categories of this paper are: eess
12
The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio