Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Anomalous thermal expansion in Ising-like puckered sheets   Motivated by efforts to create thin nanoscale metamaterials and understand
atomically thin binary monolayers, we study the finite temperature statistical
mechanics of arrays of bistable buckled dilations embedded in free-standing
two-dimensional crystalline membranes that are allowed to fluctuate in three
dimensions. The buckled nodes behave like discrete, but highly compressible,
Ising spins, leading to a phase transition at $T_c$ with singularities in the
staggered "magnetization," susceptibility, and specific heat, studied via
molecular dynamics simulations. Unlike conventional Ising models, we observe a
striking divergence and sign change of the coefficient of thermal expansion
near $T_c$ caused by the coupling of flexural phonons to the buckled spin
texture. We argue that a phenomenological model coupling Ising degrees of
freedom to the flexural phonons in a thin elastic sheet can explain this
unusual response.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin