[{"issue":"3","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1664-0403"],"issn":["1664-039X"]},"quality_controlled":"1","doi":"10.4171/JST/469","department":[{"_id":"RoSe"}],"publisher":"EMS Press","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"article_type":"original","article_processing_charge":"Yes","scopus_import":"1","publication":"Journal of Spectral Theory","day":"25","file":[{"checksum":"9ce96ca87d56ea9a70d2eb9a32839f8d","file_id":"14677","date_updated":"2023-12-11T12:03:12Z","access_level":"open_access","date_created":"2023-12-11T12:03:12Z","file_name":"2023_JST_Seiringer.pdf","success":1,"creator":"dernst","file_size":201513,"content_type":"application/pdf","relation":"main_file"}],"author":[{"first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"title":"Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling","arxiv":1,"status":"public","external_id":{"arxiv":["2210.17123"]},"citation":{"ama":"Seiringer R. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. <i>Journal of Spectral Theory</i>. 2023;13(3):1045-1055. doi:<a href=\"https://doi.org/10.4171/JST/469\">10.4171/JST/469</a>","ista":"Seiringer R. 2023. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 13(3), 1045–1055.","mla":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” <i>Journal of Spectral Theory</i>, vol. 13, no. 3, EMS Press, 2023, pp. 1045–55, doi:<a href=\"https://doi.org/10.4171/JST/469\">10.4171/JST/469</a>.","apa":"Seiringer, R. (2023). Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. <i>Journal of Spectral Theory</i>. EMS Press. <a href=\"https://doi.org/10.4171/JST/469\">https://doi.org/10.4171/JST/469</a>","ieee":"R. Seiringer, “Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling,” <i>Journal of Spectral Theory</i>, vol. 13, no. 3. EMS Press, pp. 1045–1055, 2023.","chicago":"Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” <i>Journal of Spectral Theory</i>. EMS Press, 2023. <a href=\"https://doi.org/10.4171/JST/469\">https://doi.org/10.4171/JST/469</a>.","short":"R. Seiringer, Journal of Spectral Theory 13 (2023) 1045–1055."},"intvolume":"        13","has_accepted_license":"1","publication_status":"published","oa":1,"ddc":["510"],"date_published":"2023-11-25T00:00:00Z","year":"2023","_id":"14662","month":"11","type":"journal_article","oa_version":"None","date_updated":"2023-12-11T12:12:14Z","abstract":[{"lang":"eng","text":"We consider a class of polaron models, including the Fröhlich model, at zero total\r\nmomentum, and show that at sufficiently weak coupling there are no excited eigenvalues below\r\nthe essential spectrum."}],"page":"1045-1055","file_date_updated":"2023-12-11T12:03:12Z","date_created":"2023-12-10T23:00:59Z","volume":13},{"oa":1,"publication_status":"published","has_accepted_license":"1","ddc":["530"],"date_published":"2023-05-18T00:00:00Z","status":"public","external_id":{"arxiv":["2201.08090"],"isi":["000997933500008"]},"related_material":{"record":[{"status":"public","id":"14374","relation":"dissertation_contains"}]},"intvolume":"        12","citation":{"short":"C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.","chicago":"Hainzl, Christian, Barbara Roos, and Robert Seiringer. “Boundary Superconductivity in the BCS Model.” <i>Journal of Spectral Theory</i>. EMS Press, 2023. <a href=\"https://doi.org/10.4171/JST/439\">https://doi.org/10.4171/JST/439</a>.","ieee":"C. Hainzl, B. Roos, and R. Seiringer, “Boundary superconductivity in the BCS model,” <i>Journal of Spectral Theory</i>, vol. 12, no. 4. EMS Press, pp. 1507–1540, 2023.","apa":"Hainzl, C., Roos, B., &#38; Seiringer, R. (2023). Boundary superconductivity in the BCS model. <i>Journal of Spectral Theory</i>. EMS Press. <a href=\"https://doi.org/10.4171/JST/439\">https://doi.org/10.4171/JST/439</a>","mla":"Hainzl, Christian, et al. “Boundary Superconductivity in the BCS Model.” <i>Journal of Spectral Theory</i>, vol. 12, no. 4, EMS Press, 2023, pp. 1507–1540, doi:<a href=\"https://doi.org/10.4171/JST/439\">10.4171/JST/439</a>.","ista":"Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540.","ama":"Hainzl C, Roos B, Seiringer R. Boundary superconductivity in the BCS model. <i>Journal of Spectral Theory</i>. 2023;12(4):1507–1540. doi:<a href=\"https://doi.org/10.4171/JST/439\">10.4171/JST/439</a>"},"page":"1507–1540","date_updated":"2023-10-27T10:37:29Z","abstract":[{"text":"We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical temperature is strictly larger than the bulk value, at least at weak coupling. In particular, the Cooper-pair wave function localizes near the boundary, an effect that cannot be modeled by effective Neumann boundary conditions on the order parameter as often imposed in Ginzburg–Landau theory. We also show that the relative shift in critical temperature vanishes if the coupling constant either goes to zero or to infinity.","lang":"eng"}],"type":"journal_article","month":"05","oa_version":"Published Version","volume":12,"date_created":"2023-07-10T16:35:45Z","file_date_updated":"2023-07-11T08:19:15Z","acknowledgement":"We thank Egor Babaev for encouraging us to study this problem, and Rupert Frank for many fruitful discussions. scussions. Funding. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (Barbara Roos and Robert Seiringer) is gratefully acknowledged.","year":"2023","_id":"13207","publication_identifier":{"eissn":["1664-0403"],"issn":["1664-039X"]},"doi":"10.4171/JST/439","quality_controlled":"1","project":[{"name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227"}],"isi":1,"language":[{"iso":"eng"}],"issue":"4","author":[{"first_name":"Christian","last_name":"Hainzl","full_name":"Hainzl, Christian"},{"full_name":"Roos, Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880","last_name":"Roos","first_name":"Barbara"},{"first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521"}],"file":[{"checksum":"5501da33be010b5c81440438287584d5","file_id":"13208","date_updated":"2023-07-11T08:19:15Z","access_level":"open_access","date_created":"2023-07-11T08:19:15Z","file_name":"2023_EMS_Hainzl.pdf","success":1,"creator":"alisjak","file_size":304619,"relation":"main_file","content_type":"application/pdf"}],"day":"18","title":"Boundary superconductivity in the BCS model","arxiv":1,"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","publisher":"EMS Press","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publication":"Journal of Spectral Theory","article_processing_charge":"No","ec_funded":1,"article_type":"original","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"}},{"department":[{"_id":"LaEr"}],"publisher":"European Mathematical Society Publishing House","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","scopus_import":"1","article_processing_charge":"No","article_type":"original","publication":"Journal of Spectral Theory","day":"01","author":[{"last_name":"Dietlein","first_name":"Adrian M","full_name":"Dietlein, Adrian M","id":"317CB464-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Martin","last_name":"Gebert","full_name":"Gebert, Martin"},{"first_name":"Peter","last_name":"Müller","full_name":"Müller, Peter"}],"arxiv":1,"title":"Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function","language":[{"iso":"eng"}],"issue":"3","isi":1,"keyword":["Random Schrödinger operators","spectral shift function","Anderson orthogonality"],"publication_identifier":{"issn":["1664-039X"]},"quality_controlled":"1","doi":"10.4171/jst/267","year":"2019","acknowledgement":"M.G. was supported by the DFG under grant GE 2871/1-1.","_id":"10879","abstract":[{"text":"We study effects of a bounded and compactly supported perturbation on multidimensional continuum random Schrödinger operators in the region of complete localisation. Our main emphasis is on Anderson orthogonality for random Schrödinger operators. Among others, we prove that Anderson orthogonality does occur for Fermi energies in the region of complete localisation with a non-zero probability. This partially confirms recent non-rigorous findings [V. Khemani et al., Nature Phys. 11 (2015), 560–565]. The spectral shift function plays an important role in our analysis of Anderson orthogonality. We identify it with the index of the corresponding pair of spectral projections and explore the consequences thereof. All our results rely on the main technical estimate of this paper which guarantees separate exponential decay of the disorder-averaged Schatten p-norm of χa(f(H)−f(Hτ))χb in a and b. Here, Hτ is a perturbation of the random Schrödinger operator H, χa is the multiplication operator corresponding to the indicator function of a unit cube centred about a∈Rd, and f is in a suitable class of functions of bounded variation with distributional derivative supported in the region of complete localisation for H.","lang":"eng"}],"date_updated":"2023-09-08T11:35:31Z","oa_version":"Preprint","type":"journal_article","month":"03","page":"921-965","date_created":"2022-03-18T12:36:42Z","volume":9,"status":"public","external_id":{"arxiv":["1701.02956"],"isi":["000484709400006"]},"citation":{"short":"A.M. Dietlein, M. Gebert, P. Müller, Journal of Spectral Theory 9 (2019) 921–965.","chicago":"Dietlein, Adrian M, Martin Gebert, and Peter Müller. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” <i>Journal of Spectral Theory</i>. European Mathematical Society Publishing House, 2019. <a href=\"https://doi.org/10.4171/jst/267\">https://doi.org/10.4171/jst/267</a>.","ieee":"A. M. Dietlein, M. Gebert, and P. Müller, “Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function,” <i>Journal of Spectral Theory</i>, vol. 9, no. 3. European Mathematical Society Publishing House, pp. 921–965, 2019.","apa":"Dietlein, A. M., Gebert, M., &#38; Müller, P. (2019). Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. <i>Journal of Spectral Theory</i>. European Mathematical Society Publishing House. <a href=\"https://doi.org/10.4171/jst/267\">https://doi.org/10.4171/jst/267</a>","ista":"Dietlein AM, Gebert M, Müller P. 2019. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. Journal of Spectral Theory. 9(3), 921–965.","mla":"Dietlein, Adrian M., et al. “Perturbations of Continuum Random Schrödinger Operators with Applications to Anderson Orthogonality and the Spectral Shift Function.” <i>Journal of Spectral Theory</i>, vol. 9, no. 3, European Mathematical Society Publishing House, 2019, pp. 921–65, doi:<a href=\"https://doi.org/10.4171/jst/267\">10.4171/jst/267</a>.","ama":"Dietlein AM, Gebert M, Müller P. Perturbations of continuum random Schrödinger operators with applications to Anderson orthogonality and the spectral shift function. <i>Journal of Spectral Theory</i>. 2019;9(3):921-965. doi:<a href=\"https://doi.org/10.4171/jst/267\">10.4171/jst/267</a>"},"intvolume":"         9","publication_status":"published","oa":1,"main_file_link":[{"url":"https://arxiv.org/abs/1701.02956","open_access":"1"}],"date_published":"2019-03-01T00:00:00Z"}]