Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commensurate and Incommensurate States of Topological Quantum Matter   We prove numerically and by dualities the existence of modulated,
commensurate and incommensurate states of topological quantum matter in simple
systems of parafermions, motivated by recent proposals for the realization of
such systems in mesoscopic arrays. In two space dimensions, we obtain the
simplest representative of a topological universality class that we call
Lifshitz. It is characterized by a topological tricritical point where a
non-locally ordered homogeneous phase meets a disordered phase and a third
phase that displays modulations of a non-local order parameter.

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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
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The categories of this paper are: adap-org
2
The categories of this paper are: math
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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: patt-sol
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio