{"id":{"repo_id":"qucosa-diss","oai_identifier":"oai:qucosa:de:qucosa:36222"},"canonical_url":"https://search.dev.ndltd.org/etd/qucosa-diss/oai:qucosa:de:qucosa:36222","repository":{"repo_id":"qucosa-diss","name":"QUCOSA","base_url":"http://www.qucosa.de/oai/"},"display":{"title":"Phonon-mediated Casimir effect","abstract":"The Casimir interaction is the fundamental physical phenomenon which emerges due to modification of vacuum fluctuations by boundaries in a confined area of space. It arises in many fields of physics, including condensed matter. Recently, substantial interest in the Casimir effect has revived as a result of the significant progress in the experimental techniques in cold atoms. In this thesis, we develop the description of the phonon-mediated Casimir interaction taking into account multiple phonon-impurity scatterings, that strongly renormalize the resulting interaction between the impurities. Our results, formulated in terms of the T-matrix formalism, generalize previous studies of the Casimir interaction between different kind of impurities and allow estimation of the expected phonon-induced Casimir interaction in various systems. Further, we consider a propagation of a singe hole in a two-dimensional ferromagnet accompanied by spin-flip processes. We show that an external magnetic field can be used to manipulate the properties of the single-layer system. For easy plain ferromagnets, at saturation value of the external field perpendicular to the easy axis, the Green’s function demonstrates the branch cut behavior. It is contrasted to the systems of an itinerant quasiparticle in the antiferromagnetic background where the quasiparticle retains the finite quasiparticle weight. The considered magnon scattering processes on a single itinerant electron (hole) in a two-dimensional ferromagnet can be used further for the magnon-mediated Casimir interaction in quasi-two-dimensional ferromagnets.","abstract_html":"The Casimir interaction is the fundamental physical phenomenon which emerges due to modification of vacuum fluctuations by boundaries in a confined area of space. It arises in many fields of physics, including condensed matter. Recently, substantial interest in the Casimir effect has revived as a result of the significant progress in the experimental techniques in cold atoms. In this thesis, we develop the description of the phonon-mediated Casimir interaction taking into account multiple phonon-impurity scatterings, that strongly renormalize the resulting interaction between the impurities. Our results, formulated in terms of the T-matrix formalism, generalize previous studies of the Casimir interaction between different kind of impurities and allow estimation of the expected phonon-induced Casimir interaction in various systems. Further, we consider a propagation of a singe hole in a two-dimensional ferromagnet accompanied by spin-flip processes. We show that an external magnetic field can be used to manipulate the properties of the single-layer system. For easy plain ferromagnets, at saturation value of the external field perpendicular to the easy axis, the Green’s function demonstrates the branch cut behavior. It is contrasted to the systems of an itinerant quasiparticle in the antiferromagnetic background where the quasiparticle retains the finite quasiparticle weight. The considered magnon scattering processes on a single itinerant electron (hole) in a two-dimensional ferromagnet can be used further for the magnon-mediated Casimir interaction in quasi-two-dimensional ferromagnets.","abstract_has_math":false,"creators":["Pavlov, Andrei"],"institution":"Technische Universität Dresden","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":["van den Brink, Jeroen","Efremov, Dmitri","Skrotzki, Werner","Lavrov, Eduard","Sykora, Steffen"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2019,"date_issued":"2019-11-13","date_published":"2019-11-13","updated_at":"2026-07-24T03:56:21Z","subjects":["Casimir effect","phonons","magnons","quasiparticle renormalization","Casimir-Effekt","Phononen","Magnonen","Quasiteilchen-Renormalisierung"],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":null,"outbound_label":null,"outbound_source":null},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["van den Brink, Jeroen","Efremov, Dmitri","Skrotzki, Werner","Lavrov, Eduard","Sykora, Steffen"]},{"key":"dc:creator","label":"Author","values":["Pavlov, Andrei"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Technische Universität Dresden"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Technische Universität Dresden"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Casimir effect","phonons","magnons","quasiparticle renormalization","Casimir-Effekt","Phononen","Magnonen","Quasiteilchen-Renormalisierung"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The Casimir interaction is the fundamental physical phenomenon which emerges due to modification of vacuum fluctuations by boundaries in a confined area of space. It arises in many fields of physics, including condensed matter. Recently, substantial interest in the Casimir effect has revived as a result of the significant progress in the experimental techniques in cold atoms. In this thesis, we develop the description of the phonon-mediated Casimir interaction taking into account multiple phonon-impurity scatterings, that strongly renormalize the resulting interaction between the impurities. Our results, formulated in terms of the T-matrix formalism, generalize previous studies of the Casimir interaction between different kind of impurities and allow estimation of the expected phonon-induced Casimir interaction in various systems. Further, we consider a propagation of a singe hole in a two-dimensional ferromagnet accompanied by spin-flip processes. We show that an external magnetic field can be used to manipulate the properties of the single-layer system. For easy plain ferromagnets, at saturation value of the external field perpendicular to the easy axis, the Green’s function demonstrates the branch cut behavior. It is contrasted to the systems of an itinerant quasiparticle in the antiferromagnetic background where the quasiparticle retains the finite quasiparticle weight. The considered magnon scattering processes on a single itinerant electron (hole) in a two-dimensional ferromagnet can be used further for the magnon-mediated Casimir interaction in quasi-two-dimensional ferromagnets."]},{"key":"dc:title","label":"Title","values":["Phonon-mediated Casimir effect"]}]}],"canonical_facts":{"dc:contributor":["van den Brink, Jeroen","Efremov, Dmitri","Skrotzki, Werner","Lavrov, Eduard","Sykora, Steffen"],"dc:creator":["Pavlov, Andrei"],"dc:description.abstract":["The Casimir interaction is the fundamental physical phenomenon which emerges due to modification of vacuum fluctuations by boundaries in a confined area of space. It arises in many fields of physics, including condensed matter. Recently, substantial interest in the Casimir effect has revived as a result of the significant progress in the experimental techniques in cold atoms. In this thesis, we develop the description of the phonon-mediated Casimir interaction taking into account multiple phonon-impurity scatterings, that strongly renormalize the resulting interaction between the impurities. Our results, formulated in terms of the T-matrix formalism, generalize previous studies of the Casimir interaction between different kind of impurities and allow estimation of the expected phonon-induced Casimir interaction in various systems. Further, we consider a propagation of a singe hole in a two-dimensional ferromagnet accompanied by spin-flip processes. We show that an external magnetic field can be used to manipulate the properties of the single-layer system. For easy plain ferromagnets, at saturation value of the external field perpendicular to the easy axis, the Green’s function demonstrates the branch cut behavior. It is contrasted to the systems of an itinerant quasiparticle in the antiferromagnetic background where the quasiparticle retains the finite quasiparticle weight. The considered magnon scattering processes on a single itinerant electron (hole) in a two-dimensional ferromagnet can be used further for the magnon-mediated Casimir interaction in quasi-two-dimensional ferromagnets."],"dc:publisher":["Technische Universität Dresden"],"dc:subject":["Casimir effect","phonons","magnons","quasiparticle renormalization","Casimir-Effekt","Phononen","Magnonen","Quasiteilchen-Renormalisierung"],"dc:title":["Phonon-mediated Casimir effect"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Technische Universität Dresden"]},"updated_at":"2026-07-24T03:56:21Z"}