Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Driving force for martensitic transformation in
  Ni$_{2}$Mn$_{1+x}$Sn$_{1-x}$   The martensitic transformation in Ni$_{2}$Mn$_{1+x}$Sn$_{1-x}$ alloys has
been investigated within ab-initio density functional theory. The experimental
trend of a martensitic transition happening beyond $x$ = 0.36 is captured
within these calculations. The microscopic considerations leading to this are
traced to increased Ni-Mn hybridization which results from the Ni atom
experiencing a resultant force along a lattice parameter and moving towards the
Mn atoms above a critical concentration. The presence of the lone pair
electrons on Sn forces the movement of Ni atoms away from Sn. While band Jahn
Teller effects have been associated with this transition, we show
quantitatively that atleast in this class of compounds they have a minor role.

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The categories of this paper are: nlin
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
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The categories of this paper are: hep-th