[{"article_type":"original","publisher":"Springer Nature","file_date_updated":"2023-08-23T10:59:15Z","quality_controlled":"1","title":"On the global minimum of the energy–momentum relation for the polaron","intvolume":"        26","publication_status":"published","article_processing_charge":"Yes (via OA deal)","date_created":"2023-08-22T14:09:47Z","department":[{"_id":"RoSe"}],"author":[{"full_name":"Lampart, Jonas","last_name":"Lampart","first_name":"Jonas"},{"id":"cbddacee-2b11-11eb-a02e-a2e14d04e52d","full_name":"Mitrouskas, David Johannes","first_name":"David Johannes","last_name":"Mitrouskas"},{"last_name":"Mysliwy","first_name":"Krzysztof","full_name":"Mysliwy, Krzysztof","id":"316457FC-F248-11E8-B48F-1D18A9856A87"}],"issue":"3","_id":"14192","scopus_import":"1","ddc":["510"],"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.","volume":26,"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"}],"doi":"10.1007/s11040-023-09460-x","arxiv":1,"day":"26","isi":1,"external_id":{"arxiv":["2206.14708"],"isi":["001032992600001"]},"date_updated":"2023-12-13T12:16:19Z","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>.","short":"J. Lampart, D.J. Mitrouskas, K. Mysliwy, Mathematical Physics, Analysis and Geometry 26 (2023).","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.","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>","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>","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>.","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."},"year":"2023","language":[{"iso":"eng"}],"keyword":["Geometry and Topology","Mathematical Physics"],"month":"07","article_number":"17","oa_version":"Published Version","publication":"Mathematical Physics, Analysis and Geometry","has_accepted_license":"1","status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","file":[{"file_id":"14225","creator":"dernst","access_level":"open_access","success":1,"relation":"main_file","date_updated":"2023-08-23T10:59:15Z","content_type":"application/pdf","file_name":"2023_MathPhysics_Lampart.pdf","date_created":"2023-08-23T10:59:15Z","checksum":"f0941cc66cb3ed06a12ca4b7e356cfd6","file_size":317026}],"oa":1,"publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"date_published":"2023-07-26T00:00:00Z","type":"journal_article","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"}},{"date_updated":"2023-08-02T13:51:52Z","citation":{"apa":"Henheik, S. J. (2022). The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>","ama":"Henheik SJ. The BCS critical temperature at high density. <i>Mathematical Physics, Analysis and Geometry</i>. 2022;25(1). doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>","chicago":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>. Springer Nature, 2022. <a href=\"https://doi.org/10.1007/s11040-021-09415-0\">https://doi.org/10.1007/s11040-021-09415-0</a>.","ieee":"S. J. Henheik, “The BCS critical temperature at high density,” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1. Springer Nature, 2022.","short":"S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022).","mla":"Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” <i>Mathematical Physics, Analysis and Geometry</i>, vol. 25, no. 1, 3, Springer Nature, 2022, doi:<a href=\"https://doi.org/10.1007/s11040-021-09415-0\">10.1007/s11040-021-09415-0</a>.","ista":"Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3."},"year":"2022","isi":1,"external_id":{"arxiv":["2106.02015"],"isi":["000741387600001"]},"arxiv":1,"doi":"10.1007/s11040-021-09415-0","day":"11","abstract":[{"text":"We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory.","lang":"eng"}],"acknowledgement":"I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions.","volume":25,"ddc":["514"],"_id":"10623","scopus_import":"1","author":[{"id":"31d731d7-d235-11ea-ad11-b50331c8d7fb","full_name":"Henheik, Sven Joscha","orcid":"0000-0003-1106-327X","last_name":"Henheik","first_name":"Sven Joscha"}],"issue":"1","publication_status":"published","department":[{"_id":"GradSch"},{"_id":"LaEr"}],"article_processing_charge":"Yes (via OA deal)","date_created":"2022-01-13T15:40:53Z","title":"The BCS critical temperature at high density","intvolume":"        25","quality_controlled":"1","ec_funded":1,"file_date_updated":"2022-01-14T07:27:45Z","publisher":"Springer Nature","article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"date_published":"2022-01-11T00:00:00Z","type":"journal_article","publication_identifier":{"eissn":["1572-9656"],"issn":["1385-0172"]},"oa":1,"file":[{"access_level":"open_access","success":1,"relation":"main_file","file_id":"10624","creator":"cchlebak","date_created":"2022-01-14T07:27:45Z","file_size":505804,"checksum":"d44f8123a52592a75b2c3b8ee2cd2435","date_updated":"2022-01-14T07:27:45Z","file_name":"2022_MathPhyAnalGeo_Henheik.pdf","content_type":"application/pdf"}],"status":"public","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publication":"Mathematical Physics, Analysis and Geometry","has_accepted_license":"1","oa_version":"Published Version","project":[{"name":"Random matrices beyond Wigner-Dyson-Mehta","grant_number":"101020331","_id":"62796744-2b32-11ec-9570-940b20777f1d","call_identifier":"H2020"},{"_id":"B67AFEDC-15C9-11EA-A837-991A96BB2854","name":"IST Austria Open Access Fund"}],"month":"01","article_number":"3","language":[{"iso":"eng"}],"keyword":["geometry and topology","mathematical physics"]}]