Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermal Conductivity of Square Ice   We investigate thermal transport in square ice, a two-dimensional analogue of
spin ice, exploring the role played by emergent magnetic monopoles in
transporting energy. Using kinetic Monte Carlo simulations based on energy
preserving extensions of single-spin-flip dynamics, we explicitly compute the
(longitudinal) thermal conductivity, $\kappa$, over a broad range of
temperatures. We use two methods to determine $\kappa$: a measurement of the
energy current between thermal baths at the boundaries, and the Green-Kubo
formula, yielding quantitatively consistent values for the thermal
conductivity. We interpret these results in terms of transport of energy by
diffusion of magnetic monopoles. We relate the thermal diffusivity, $\kappa/C$
where $C$ is the heat capacity, to the diffusion constant of an isolated
monopole, showing that the subdiffusive monopole implies $\kappa/C$ vanishes at
zero temperature. Finally, we discuss the implications of these results for
thermal transport in three-dimensional spin ice, in spin ice materials such as
Dy$_2$Ti$_2$O$_7$ and Ho$_2$Ti$_2$O$_7$, and outline some open questions for
thermal transport in highly frustrated magnets.

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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys