Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Frustrated Kondo chains and glassy magnetic phases on the pyrochlore
  lattice   We present an extensive numerical study of a new type of frustrated itinerant
magnetism on the pyrochlore lattice. In this theory, the pyrochlore magnet can
be viewed as a cross-linking network of Kondo or double-exchange chains.
Contrary to models based on Mott insulators, this itinerant magnetism approach
provides a natural explanation for several spin and orbital superstructures
observed on the pyrochlore lattice. Through extensive Monte Carlo simulations,
we obtain the phase diagrams at two representative electron filling fractions
$n = 1/2$ and 2/3. In particular, we show that an intriguing glassy magnetic
state characterized by ordering wavevectors $\mathbf q = \left(
\frac{1}{3},\frac{1}{3}, 1\right)$ gives a rather satisfactory description of
the low temperature phase recently observed in spinel GeFe$_2$O$_4$.

10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex