%0 Journal Article
%T Uniqueness of zero-temperature metastate in disordered Ising ferromagnets
%A Jan Wehr
%A Aramian Wasielak
%J Physics
%D 2014
%I arXiv
%X We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This unexpected result sheds a new light on the properties of these systems, putting strong restrictions on their possible ground state structure. Open problems related to existence of interface-supporting ground states are stated and an interpretation of the main result in terms of first-passage and random surface models in a random environment is presented.
%U http://arxiv.org/abs/1410.2283v1