Publikation: Effective Quantum Theories for Transport in Inhomogeneous Systems with Non-trivial Band Structure
Dateien
Datum
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Link zur Lizenz
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Publikationsstatus
Erschienen in
Zusammenfassung
Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows us to systematically construct the unitary transformation that brings the Hamiltonian into band-diagonal form. We address the issue of gauge invariance and discuss the necessity of using kinetic variables in order to obtain a low energy effective description that is consistent with the original theory. Essentially, our analysis is a semiclassical one and quantum corrections appear as Berry curvatures in addition to quantities that are related to the appearance of persistent currents. We develop a transport framework which is manifestly gauge invariant and it is based on a quantum Boltzman formulation along with suitable definitions of current density operators such that Liouville's theorem is satisfied. Finally, we incorporate the effects of an external electromagnetic field into our theory.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
Schlagwörter
Konferenz
Rezension
Zitieren
ISO 690
WICKLES, Christian, Wolfgang BELZIG, 2012. Effective Quantum Theories for Transport in Inhomogeneous Systems with Non-trivial Band StructureBibTex
@unpublished{Wickles2012Effec-22476,
year={2012},
title={Effective Quantum Theories for Transport in Inhomogeneous Systems with Non-trivial Band Structure},
author={Wickles, Christian and Belzig, Wolfgang}
}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/123456789/22476">
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/22476/1/Wickles_224769.pdf"/>
<dc:language>eng</dc:language>
<dc:contributor>Belzig, Wolfgang</dc:contributor>
<dc:creator>Belzig, Wolfgang</dc:creator>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:issued>2012</dcterms:issued>
<dc:rights>terms-of-use</dc:rights>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/22476/1/Wickles_224769.pdf"/>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/22476"/>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-03-22T10:02:48Z</dc:date>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
<dcterms:title>Effective Quantum Theories for Transport in Inhomogeneous Systems with Non-trivial Band Structure</dcterms:title>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/41"/>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:creator>Wickles, Christian</dc:creator>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
<dc:contributor>Wickles, Christian</dc:contributor>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-03-22T10:02:48Z</dcterms:available>
<dcterms:abstract xml:lang="eng">Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows us to systematically construct the unitary transformation that brings the Hamiltonian into band-diagonal form. We address the issue of gauge invariance and discuss the necessity of using kinetic variables in order to obtain a low energy effective description that is consistent with the original theory. Essentially, our analysis is a semiclassical one and quantum corrections appear as Berry curvatures in addition to quantities that are related to the appearance of persistent currents. We develop a transport framework which is manifestly gauge invariant and it is based on a quantum Boltzman formulation along with suitable definitions of current density operators such that Liouville's theorem is satisfied. Finally, we incorporate the effects of an external electromagnetic field into our theory.</dcterms:abstract>
</rdf:Description>
</rdf:RDF>
