Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conserved charges of order-parameter textures in Dirac systems   A simple expression for the induced fermion current in the presence of a
texture in mass-order-parameters in two-dimensional condensed-matter Dirac
systems is derived using the representation theory of Clifford algebras. In
particular, it is shown that every texture in three mutually anticommuting
order parameters, in graphene for example, implies an induced density of a
properly defined conserved charge. The sufficient condition for the general
charge to be the familiar electrical charge is that the remaining two
anticommuting order parameters allowed by the particle-hole symmetry are the
two phase components of some superconducting order. This allows eight different
types of electrically charged textures in graphene or in the $\pi$-flux
Hamiltonian on the square lattice. Generalized charge of mass-textures on the
surfaces of thin films of topological insulators, or in spinless Dirac fermions
hopping on the honeycomb lattice is also discussed.

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The categories of this paper are: quant-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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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: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org