Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homotopy quantum phase transitions   We present a new class of quantum phase transitions that refer neither to
local order parameter and critical fluctuations nor to continuous symmetry
breaking but are assigned by the step-wise change in topology of the
multi-particle system expressed in homotopy terms. The energy for homotopy
phases changes in a step-wise manner and the different homotopies induce
specific correlations in planar interacting multi-particle system representing
different commesurability patterns of quantum incompressible states. We
illustrate the concept of the homotopy phase transition in the simplest quantum
multi-particle system of two repulsing electrons on a 2D finite jellium exposed
to a strong perpendicular magnetic field. The homotopy phases related to
fractional quantum Hall states are described and compared with their
experimental manifestation.

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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph