Publikation: Semiclassical treatment of spinor topological effects in driven inhomogeneous insulators under external electromagnetic fields
Dateien
Datum
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
DOI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Publikationsstatus
Erschienen in
Zusammenfassung
Introducing internal degrees of freedom in the description of topological insulators has led to a myriad of theoretical and experimental advances. Of particular interest are the effects of periodic perturbations, either in time or space, as they considerably enrich the variety of electronic responses, with examples such as Thouless's charge pump and its higher-dimensional cousins, or higher-order topological insulators. Here, we develop a semiclassical approach to transport and accumulation of general spinor degrees of freedom, such as physical spin, valley, or atomic orbits, in adiabatically driven, weakly inhomogeneous insulators of dimensions 1, 2, and 3, under external electromagnetic fields. Specifically, we derive the spinor current and density up to third order in the spatiotemporal modulations of the system and relate the induced responses to geometrical and topological objects—the spinor-Chern fluxes and numbers—defined over the higher-dimensional phase space of the system, i.e., its combined position-momentum-time coordinates. Furthermore, we provide a connection between our semiclassical analysis and the modern theory of multipole moments by introducing spinor analogs of the electric dipole, quadrupole, and octupole moments. The results are showcased in concrete tight-binding models where spinor transport and accumulation are calculated analytically.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
Schlagwörter
Konferenz
Rezension
Zitieren
ISO 690
PETRIDES, Ioannis, Oded ZILBERBERG, 2022. Semiclassical treatment of spinor topological effects in driven inhomogeneous insulators under external electromagnetic fields. In: Physical Review B. American Physical Society (APS). 2022, 106(16), 165130. ISSN 2469-9950. eISSN 2469-9969. Available under: doi: 10.1103/PhysRevB.106.165130BibTex
@article{Petrides2022Semic-59345, year={2022}, doi={10.1103/PhysRevB.106.165130}, title={Semiclassical treatment of spinor topological effects in driven inhomogeneous insulators under external electromagnetic fields}, number={16}, volume={106}, issn={2469-9950}, journal={Physical Review B}, author={Petrides, Ioannis and Zilberberg, Oded}, note={Article Number: 165130} }
RDF
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/59345"> <dc:language>eng</dc:language> <dc:creator>Petrides, Ioannis</dc:creator> <dcterms:title>Semiclassical treatment of spinor topological effects in driven inhomogeneous insulators under external electromagnetic fields</dcterms:title> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-11-30T07:39:12Z</dcterms:available> <dcterms:abstract xml:lang="eng">Introducing internal degrees of freedom in the description of topological insulators has led to a myriad of theoretical and experimental advances. Of particular interest are the effects of periodic perturbations, either in time or space, as they considerably enrich the variety of electronic responses, with examples such as Thouless's charge pump and its higher-dimensional cousins, or higher-order topological insulators. Here, we develop a semiclassical approach to transport and accumulation of general spinor degrees of freedom, such as physical spin, valley, or atomic orbits, in adiabatically driven, weakly inhomogeneous insulators of dimensions 1, 2, and 3, under external electromagnetic fields. Specifically, we derive the spinor current and density up to third order in the spatiotemporal modulations of the system and relate the induced responses to geometrical and topological objects—the spinor-Chern fluxes and numbers—defined over the higher-dimensional phase space of the system, i.e., its combined position-momentum-time coordinates. Furthermore, we provide a connection between our semiclassical analysis and the modern theory of multipole moments by introducing spinor analogs of the electric dipole, quadrupole, and octupole moments. The results are showcased in concrete tight-binding models where spinor transport and accumulation are calculated analytically.</dcterms:abstract> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-11-30T07:39:12Z</dc:date> <dc:contributor>Petrides, Ioannis</dc:contributor> <dcterms:issued>2022</dcterms:issued> <dc:creator>Zilberberg, Oded</dc:creator> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/59345"/> <dc:contributor>Zilberberg, Oded</dc:contributor> </rdf:Description> </rdf:RDF>