KIT | KIT-Bibliothek | Impressum | Datenschutz

Green's functions of quasi-one-dimensional layered systems and their application to Josephson junctions

Piasotski, Kiryl 1,2; Pletyukhov, Mikhail; Shnirman, Alexander 1
1 Institut für Theorie der Kondensierten Materie (TKM), Karlsruher Institut für Technologie (KIT)
2 Institut für QuantenMaterialien und Technologien (IQMT), Karlsruher Institut für Technologie (KIT)

Abstract:

We develop Green's function formalism to describe continuous multi-layered quasi-one-dimensional setups described by piece-wise constant single-particle Hamiltonians. The Hamiltonians of the individual layers are assumed to be quadratic polynomials in the momentum operator with matrix-valued (multichannel) coefficients. This, in particular, allows one to study transport in heterostructures consisting of multichannel conducting, superconducting, or insulating components with band structures of arbitrary complexity. We find a general expression for the single-particle Green's function of the combined setup in terms of the bulk (translationally invariant) Green's functions of its constituents. Furthermore, we provide the expression for the global density of states of the combined system and establish the bound state equation in terms of bulk Green's functions. We apply our formalism to investigate the spectrum and current-phase relations in ordinary and topological Josephson junctions, additionally showing how to account for the effects of static disorder and local Coulomb interaction.


Volltext §
DOI: 10.5445/IR/1000167719
Veröffentlicht am 25.01.2024
Cover der Publikation
Zugehörige Institution(en) am KIT Institut für QuantenMaterialien und Technologien (IQMT)
Institut für Theorie der Kondensierten Materie (TKM)
Publikationstyp Forschungsbericht/Preprint
Publikationsjahr 2023
Sprache Englisch
Identifikator KITopen-ID: 1000167719
Umfang 28 S.
Vorab online veröffentlicht am 26.11.2023
Nachgewiesen in Dimensions
arXiv
Relationen in KITopen
KIT – Die Forschungsuniversität in der Helmholtz-Gemeinschaft
KITopen Landing Page