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Abstract
We study numerically the properties of
local low-energy excitations in the two-dimensional
Ising spin glass. Given the ground state, we
determine the lowest-lying connected cluster of flipped spins
containing one given spin, either with a fixed
volume, or with a volume constrained to lie in a certain range.
Our aim is to understand corrections to
the scaling predicted by the droplet picture of spin glasses and
to resolve contradictory results reported in the literature
for the stiffness exponent. We find no clear trace of
corrections to scaling, and the obtained stiffness exponent
is in relatively good agreement with standard domain wall calculations.
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