Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topo-fermiology   The modern semiclassical theory of a Bloch electron in a magnetic field now
encompasses the orbital magnetic moment and the geometric phase. These two
notions are encoded in the Bohr-Sommerfeld quantization condition as a phase
($\lambda$) that is subleading in powers of the field; $\lambda$ is measurable
in the phase offset of the de Haas-van Alphen oscillation, as well as of
fixed-bias oscillations of the differential conductance in tunneling
spectroscopy. In some solids and for certain field orientations, $\lambda/\pi$
are robustly integer-valued owing to the symmetry of the extremal orbit, i.e.,
they are the topological invariants of magnetotransport. Our comprehensive
symmetry analysis identifies solids in any (magnetic) space group for which
$\lambda$ is a topological invariant, as well as identifies the
symmetry-enforced degeneracy of Landau levels. The analysis is simplified by
our formulation of ten (and only ten) symmetry classes for closed,
Fermi-surface orbits. Case studies are discussed for graphene, transition metal
dichalchogenides, 3D Weyl and Dirac metals, and crystalline and $\mathbb{Z}_2$
topological insulators. In particular, we point out that a $\pi$ phase offset
in the fundamental oscillation should \emph{not} be viewed as a smoking gun for
a 3D Dirac metal.

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The categories of this paper are: plasm-ph
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
2
The categories of this paper are: math
9
The categories of this paper are: nlin
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The categories of this paper are: bayes-an
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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: acc-phys
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-ex
1
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: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex