{"abstract":[{"lang":"eng","text":"The binding of polarons, or its absence, is an old and subtle topic. Here we prove two things rigorously. First, the transition from many-body collapse to the existence of a thermodynamic limit for N polarons occurs precisely at U=2α, where U is the electronic Coulomb repulsion and α is the polaron coupling constant. Second, if U is large enough, there is no multipolaron binding of any kind. Considering the known fact that there is binding for some U&gt;2α, these conclusions are not obvious and their proof has been an open problem for some time."}],"publisher":"American Physical Society","publist_id":"4536","extern":1,"issue":"21","intvolume":"       104","doi":"10.1103/PhysRevLett.104.210402","oa":1,"citation":{"ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2010. Bipolaron and N-polaron binding energies. Physical Review Letters. 104(21).","mla":"Frank, Rupert, et al. “Bipolaron and N-Polaron Binding Energies.” <i>Physical Review Letters</i>, vol. 104, no. 21, American Physical Society, 2010, doi:<a href=\"https://doi.org/10.1103/PhysRevLett.104.210402\">10.1103/PhysRevLett.104.210402</a>.","short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).","apa":"Frank, R., Lieb, É., Seiringer, R., &#38; Thomas, L. (2010). Bipolaron and N-polaron binding energies. <i>Physical Review Letters</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevLett.104.210402\">https://doi.org/10.1103/PhysRevLett.104.210402</a>","chicago":"Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Bipolaron and N-Polaron Binding Energies.” <i>Physical Review Letters</i>. American Physical Society, 2010. <a href=\"https://doi.org/10.1103/PhysRevLett.104.210402\">https://doi.org/10.1103/PhysRevLett.104.210402</a>.","ieee":"R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Bipolaron and N-polaron binding energies,” <i>Physical Review Letters</i>, vol. 104, no. 21. American Physical Society, 2010.","ama":"Frank R, Lieb É, Seiringer R, Thomas L. Bipolaron and N-polaron binding energies. <i>Physical Review Letters</i>. 2010;104(21). doi:<a href=\"https://doi.org/10.1103/PhysRevLett.104.210402\">10.1103/PhysRevLett.104.210402</a>"},"publication_status":"published","type":"journal_article","day":"01","year":"2010","status":"public","author":[{"first_name":"Rupert","full_name":"Frank, Rupert L","last_name":"Frank"},{"first_name":"Élliott","last_name":"Lieb","full_name":"Lieb, Élliott H"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Robert Seiringer","orcid":"0000-0002-6781-0521"},{"full_name":"Thomas, Lawrence E","last_name":"Thomas","first_name":"Lawrence"}],"date_published":"2010-01-01T00:00:00Z","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1004.1196"}],"title":"Bipolaron and N-polaron binding energies","_id":"2392","quality_controlled":0,"publication":"Physical Review Letters","date_created":"2018-12-11T11:57:24Z","date_updated":"2021-01-12T06:57:12Z","month":"01","volume":104}