Thursday, February 21, 2013

1302.5077 (Gil Wolff et al.)

Ordered glassy spin system    [PDF]

Gil Wolff, Dov Levine
A solid is typically deemed amorphous, or glassy, when there are no Bragg peaks in its diffraction pattern. We construct a two dimensional configuration of Ising spins with an autocorrelation function which vanishes at all nonzero distances, so that its scattering pattern is flat. This configuration is a ground state of a spin Hamiltonian with deterministic, translationally-invariant and local interactions. Despite ostensibly being amorphous, this configuration has perfect underlying order.
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