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Updated: Jul 25, 2025

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Published on: May 27, 2020
On-Site Potential Creates Complexity in Systems with Disordered Coupling
I Gershenzon1, B Lacroix-A-Chez-Toine1,2, O Raz1
1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel.
Abstract:
We calculate the average number of critical points N[over ¯] 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[over ¯] 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.
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