Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Are there quantum oscillations in an incommensurate charge density wave?   Because a material with an incommensurate charge density wave (ICDW) is only
quasi-periodic, Bloch's theorem does not apply and there is no sharply defined
Fermi surface. We will show that, as a consequence, there are no quantum
oscillations which are truly periodic functions of $1/B$ (where $ B$ is the
magnitude of an applied magnetic field). For a weak ICDW, there exist broad
ranges of $1/B$ in which approximately periodic variations occur, but with
frequencies that vary inexorably in an unending cascade with increasing $1/B$.
For a strong ICDW, e.g. in a quasi-crystal, no quantum oscillations survive at
all. Rational and irrational numbers really are different.

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The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph