{"status":"public","quality_controlled":0,"title":"Bipolaron and N-polaron binding energies","volume":104,"publist_id":"4536","date_created":"2018-12-11T11:57:24Z","oa":1,"intvolume":"       104","publisher":"American Physical Society","year":"2010","issue":"21","extern":1,"citation":{"short":"R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (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>","ista":"Frank R, Lieb É, Seiringer R, Thomas L. 2010. Bipolaron and N-polaron binding energies. Physical Review Letters. 104(21).","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>.","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>","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.","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>."},"date_published":"2010-01-01T00:00:00Z","publication_status":"published","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1004.1196"}],"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."}],"_id":"2392","doi":"10.1103/PhysRevLett.104.210402","publication":"Physical Review Letters","author":[{"first_name":"Rupert","last_name":"Frank","full_name":"Frank, Rupert L"},{"full_name":"Lieb, Élliott H","last_name":"Lieb","first_name":"Élliott"},{"orcid":"0000-0002-6781-0521","first_name":"Robert","last_name":"Seiringer","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Robert Seiringer"},{"full_name":"Thomas, Lawrence E","last_name":"Thomas","first_name":"Lawrence"}],"day":"01","type":"journal_article","date_updated":"2021-01-12T06:57:12Z","month":"01"}