@article{cc58720c388f412783426e6d0030561f,
title = "On-Site Potential Creates Complexity in Systems with Disordered Coupling",
abstract = "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.",
keywords = "Disordered systems, Random & disordered media, Glassy systems, Random matrix theory, Statistical Physics",
author = "Igor Gershenzon and {Lacroix A Chez Toine}, Bertrand and Oren Raz and Eliran Subag and Ofer Zeitouni",
note = "Funding Information: O. R. is supported by the Abramson Family Center for Young Scientists, the Israel Science Foundation Grant No. 950/19, and by the Minerva foundation. I. G. is grateful to Amy Entin for her help with writing this manuscript. B. L.-A-C.-T. is supported by the EPSRC Grant No. EP/V002473/1 Random Hessians and Jacobians: theory and applications. O. Z. was partially supported by the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (Grant Agreement No. 692452) and by the Israel Science Foundation Grant No. 421/20. E. S. is supported by the Israel Science Foundation Grant No. 2055/21 and the Skirball Chair in New Scientists. Publisher Copyright: {\textcopyright} 2023 American Physical Society.",
year = "2023",
month = jun,
day = "9",
doi = "10.1103/PhysRevLett.130.237103",
language = "English",
volume = "130",
pages = "237103",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society (APS)",
number = "23",
}