Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact eigenstates and macroscopic magnetization jumps in strongly
  frustrated spin lattices   For a class of frustrated spin lattices including e.g. the 1D sawtooth chain,
the 2D kagom\'e and checkerboard, as well as the 3D pyrochlore lattices we
construct exact product eigenstates consisting of several independent,
localized one-magnon states in a ferromagnetic background. Important
geometrical elements of the relevant lattices are triangles being attached to
polygons or lines. Then the magnons can be trapped on these polygons/lines. If
the concentration of localized magnons is small they can be distributed
randomly over the lattice. Increasing the number of localized magnons their
distribution over the lattice becomes more and more regular and finally the
magnons condensate in a crystal-like state. The physical relevance of these
eigenstates emerges in high magnetic fields where they become groundstates of
the system. As a result a macroscopic magnetization jump appears in the
zero-temperature magnetization curve just below the saturation field. The
height of the jump decreases with increasing spin quantum number and vanishes
in the classical limit. Thus it is a true macroscopic quantum effect.

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-th
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The categories of this paper are: stat