Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalous fractional quantum Hall effect and multi-valued Hamiltonians   We discuss anomalous fractional quantum Hall effect that exists without
external magnetic field. We propose that excitations in such systems may be
described effectively by non-interacting particles with the Hamiltonians
defined on the Brillouin zone with a branch cut. Hall conductivity of such a
system is expressed through the one-particle Green function. We demonstrate
that for the Hamiltonians of the proposed type this expression takes fractional
values times Klitzing constant. Possible relation of the proposed construction
with degeneracy of ground state is discussed as well.

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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
16
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: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: adap-org
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph