Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Novel Properties of Frustrated Low Dimensional Magnets with Pentagonal
  Symmetry   In the context of magnetism, frustration arises when a group of spins cannot
find a configuration that minimizes all of their pairwise interactions
simultaneously. We consider the effects of the geometric frustration that
arises in a structure having pentagonal loops. Such five-fold loops can be
expected to occur naturally in quasicrystals, as seen for example in a number
of experimental studies of surfaces of icosahedral alloys. Our model considers
classical vector spins placed on vertices of a subtiling of the two dimensional
Penrose tiling, and interacting with nearest neighbors via antiferromagnetic
bonds. We give a set of recursion relations for this system, which consists of
an infinite set of embedded clusters with sizes that increase as a power of the
golden mean. The magnetic ground states of this fractal system are studied
analytically, and by Monte Carlo simulation.

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The categories of this paper are: math
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th