{"quality_controlled":"1","title":"On the global minimum of the energy–momentum relation for the polaron","status":"public","publisher":"Springer Nature","scopus_import":"1","oa_version":"Published Version","oa":1,"date_created":"2023-08-22T14:09:47Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","department":[{"_id":"RoSe"}],"abstract":[{"text":"For the Fröhlich model of the large polaron, we prove that the ground state energy as a function of the total momentum has a unique global minimum at momentum zero. This implies the non-existence of a ground state of the translation invariant Fröhlich Hamiltonian and thus excludes the possibility of a localization transition at finite coupling.","lang":"eng"}],"publication_status":"published","date_published":"2023-07-26T00:00:00Z","issue":"3","article_processing_charge":"Yes (via OA deal)","month":"07","date_updated":"2023-12-13T12:16:19Z","tmp":{"image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"type":"journal_article","file":[{"file_name":"2023_MathPhysics_Lampart.pdf","access_level":"open_access","creator":"dernst","content_type":"application/pdf","relation":"main_file","checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","file_size":317026,"date_created":"2023-08-23T10:59:15Z","file_id":"14225","success":1,"date_updated":"2023-08-23T10:59:15Z"}],"day":"26","ddc":["510"],"isi":1,"file_date_updated":"2023-08-23T10:59:15Z","keyword":["Geometry and Topology","Mathematical Physics"],"acknowledgement":"D.M. and K.M. thank Robert Seiringer for helpful discussions. Open access funding provided by Institute of Science and Technology (IST Austria). Financial support from the Agence Nationale de la Recherche (ANR) through the projects ANR-17-CE40-0016, ANR-17-CE40-0007-01, ANR-17-EURE-0002 (J.L.) and from the European Union’s Horizon 2020 research and innovation programme under the Maria Skłodowska-Curie grant agreement No. 665386 (K.M.) is gratefully acknowledged.","year":"2023","intvolume":"        26","volume":26,"_id":"14192","article_number":"17","language":[{"iso":"eng"}],"citation":{"mla":"Lampart, Jonas, et al. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3, 17, Springer Nature, 2023, doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>.","ieee":"J. Lampart, D. J. Mitrouskas, and K. Mysliwy, “On the global minimum of the energy–momentum relation for the polaron,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 26, no. 3. Springer Nature, 2023.","chicago":"Lampart, Jonas, David Johannes Mitrouskas, and Krzysztof Mysliwy. “On the Global Minimum of the Energy–Momentum Relation for the Polaron.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2023. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>.","apa":"Lampart, J., Mitrouskas, D. J., &#38; Mysliwy, K. (2023). On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-023-09460-x\">https://doi.org/10.1007/s11040-023-09460-x</a>","ista":"Lampart J, Mitrouskas DJ, Mysliwy K. 2023. On the global minimum of the energy–momentum relation for the polaron. Mathematical Physics, Analysis and Geometry. 26(3), 17.","ama":"Lampart J, Mitrouskas DJ, Mysliwy K. On the global minimum of the energy–momentum relation for the polaron. <i>Mathematical Physics, Analysis and Geometry</i>. 2023;26(3). doi:<a href=\"https://doi.org/10.1007/s11040-023-09460-x\">10.1007/s11040-023-09460-x</a>","short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (2023)."},"article_type":"original","external_id":{"isi":["001032992600001"],"arxiv":["2206.14708"]},"publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"publication":"Mathematical Physics, Analysis and Geometry","author":[{"full_name":"Lampart, Jonas","first_name":"Jonas","last_name":"Lampart"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas"},{"id":"316457FC-F248-11E8-B48F-1D18A9856A87","full_name":"Mysliwy, Krzysztof","first_name":"Krzysztof","last_name":"Mysliwy"}],"has_accepted_license":"1","doi":"10.1007/s11040-023-09460-x"}