Ordered amorphous spin system
Department of Physics, Technion - Haifa 32000, Israel
Received: 8 April 2014
Accepted: 18 June 2014
A solid is typically deemed amorphous when there are no Bragg peaks in its diffraction pattern. We discuss 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 Hamiltonian with deterministic, translationally invariant and finite-range interactions. Despite ostensibly being amorphous, this configuration has perfect underlying order. The finite-temperature behavior of this model exhibits ordering transitions at successively larger length scales.
PACS: 75.10.Nr – Spin-glass and other random models / 61.43.Fs – Glasses / 75.50.Lk – Spin glasses and other random magnets
© EPLA, 2014