Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirac-Bogoliubov-deGennes quasiparticles in a vortex lattice   In the mixed state of an extreme type-II d-wave superconductor and within a
broad regime of weak magnetic fields H_c1 << H << H_c2, the low energy
Bogoliubov-deGennes quasiparticles can be effectively described as Dirac
fermions moving in the field of singular scalar and vector potentials. Although
the effective linearized Hamiltonian operator formally does not depend on the
structure of vortex cores, a singular nature of the perturbation requires
choosing a self-adjoint extension of the Hamiltonian by imposing additional
boundary conditions at vortex locations. Each vortex is described by a single
parameter \theta that effectively represents all effects arising from the
physics beyond linearization. With the value of \theta properly fixed, the
resulting density of states of Dirac Hamiltonian exhibits full invariance under
arbitrary singular gauge transformations applied at vortex positions. We
identify the self-adjoint extensions of the solutions found earlier, within the
framework of the linearized Hamiltonian diagonalized by expansion in the plane
wave basis, and analyze the relation between fully self-consistent formulation
of the problem and the linearized model.

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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: stat
3
The categories of this paper are: physics
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The categories of this paper are: comp-gas
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph