On-Site Potential Creates Complexity in Systems with Disordered Coupling

Igor Gershenzon, Bertrand Lacroix-A-Chez-Toine, Oren Raz, Eliran Subag, Ofer Zeitouni

Research output: Contribution to journalArticlepeer-review


We calculate the average number of critical points N¯ of the energy landscape of a many-body system with disordered two-body interactions and a weak on-site potential. We find that introducing a weak nonlinear on-site potential dramatically increases N¯ to exponential in system size and give a complete picture of the organization of critical points. Our results extend solvable spin-glass models to physically more realistic models and are of relevance to glassy systems, nonlinear oscillator networks, and many-body interacting systems.

Original languageEnglish
Article number237103
JournalPhysical review letters
Issue number23
StatePublished - 9 Jun 2023

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'On-Site Potential Creates Complexity in Systems with Disordered Coupling'. Together they form a unique fingerprint.

Cite this