{"scopus_import":"1","author":[{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","first_name":"David Johannes","full_name":"Mitrouskas, David Johannes","last_name":"Mitrouskas"}],"abstract":[{"text":"We analyze the ground state energy of N fermions in a two-dimensional box interacting with an impurity particle via two-body point interactions. We show that for weak coupling, the ground state energy is asymptotically described by the polaron energy, as proposed by F. Chevy in the physics literature. The polaron energy is the solution of a nonlinear equation involving the Green’s function of the free Fermi gas and the binding energy of the two-body point interaction. We provide quantitative error estimates that are uniform in the thermodynamic limit.","lang":"eng"}],"oa":1,"date_published":"2025-06-01T00:00:00Z","corr_author":"1","type":"journal_article","publication_status":"published","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","article_number":"30","has_accepted_license":"1","month":"06","OA_type":"hybrid","day":"01","intvolume":"       249","status":"public","publication":"Archive for Rational Mechanics and Analysis","volume":249,"file":[{"success":1,"content_type":"application/pdf","file_size":886318,"date_created":"2025-05-12T07:27:28Z","access_level":"open_access","file_id":"19676","file_name":"2025_ArchiveRatioMechanics_Mitrouskas.pdf","relation":"main_file","creator":"dernst","date_updated":"2025-05-12T07:27:28Z","checksum":"3606ebd34d59d03f8c66a3a1794c3e4f"}],"language":[{"iso":"eng"}],"department":[{"_id":"RoSe"}],"quality_controlled":"1","license":"https://creativecommons.org/licenses/by/4.0/","date_created":"2025-05-11T22:02:37Z","oa_version":"Published Version","article_processing_charge":"Yes (via OA deal)","issue":"3","external_id":{"isi":["001482770500001"]},"doi":"10.1007/s00205-025-02098-9","year":"2025","ddc":["530"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","image":"/images/cc_by.png"},"file_date_updated":"2025-05-12T07:27:28Z","acknowledgement":"The author would like to thank Ulrich Linden for introducing him to the Fermi polaron and for his valuable contributions in the early stages of this project. Additionally, the author is grateful to Krzysztof Myśliwy for helpful comments. Open access funding provided by Institute of Science and Technology (IST Austria).","article_type":"original","title":"The weakly coupled two-dimensional Fermi polaron","citation":{"chicago":"Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.” <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature, 2025. <a href=\"https://doi.org/10.1007/s00205-025-02098-9\">https://doi.org/10.1007/s00205-025-02098-9</a>.","ista":"Mitrouskas DJ. 2025. The weakly coupled two-dimensional Fermi polaron. Archive for Rational Mechanics and Analysis. 249(3), 30.","mla":"Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.” <i>Archive for Rational Mechanics and Analysis</i>, vol. 249, no. 3, 30, Springer Nature, 2025, doi:<a href=\"https://doi.org/10.1007/s00205-025-02098-9\">10.1007/s00205-025-02098-9</a>.","ieee":"D. J. Mitrouskas, “The weakly coupled two-dimensional Fermi polaron,” <i>Archive for Rational Mechanics and Analysis</i>, vol. 249, no. 3. Springer Nature, 2025.","short":"D.J. Mitrouskas, Archive for Rational Mechanics and Analysis 249 (2025).","apa":"Mitrouskas, D. J. (2025). The weakly coupled two-dimensional Fermi polaron. <i>Archive for Rational Mechanics and Analysis</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s00205-025-02098-9\">https://doi.org/10.1007/s00205-025-02098-9</a>","ama":"Mitrouskas DJ. The weakly coupled two-dimensional Fermi polaron. <i>Archive for Rational Mechanics and Analysis</i>. 2025;249(3). doi:<a href=\"https://doi.org/10.1007/s00205-025-02098-9\">10.1007/s00205-025-02098-9</a>"},"OA_place":"publisher","publication_identifier":{"issn":["0003-9527"],"eissn":["1432-0673"]},"isi":1,"date_updated":"2025-09-30T12:25:19Z","_id":"19660","publisher":"Springer Nature"}