Uniqueness of Translation-Covariant Zero-Temperature Metastate in Disordered Ising Ferromagnets

Jan Wehr, Aramian Wasielak

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


We study ground states of Ising models with random ferromagnetic couplings, proving the triviality of all zero-temperature metastates. This 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.

Original languageEnglish (US)
Pages (from-to)487-494
Number of pages8
JournalJournal of Statistical Physics
Issue number2
StatePublished - Jan 1 2016


  • Disordered systems
  • Ising model
  • Metastates

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


Dive into the research topics of 'Uniqueness of Translation-Covariant Zero-Temperature Metastate in Disordered Ising Ferromagnets'. Together they form a unique fingerprint.

Cite this