Z(2) Green's function topology of Majorana wires

Please always quote using this URN: urn:nbn:de:bvb:20-opus-129751
  • We represent the Z2 topological invariant characterizing a one-dimensional topological superconductor using a Wess–Zumino–Witten dimensional extension. The invariant is formulated in terms of the single-particle Green’s function which allows us to classify interacting systems. Employing a recently proposed generalized Berry curvature method, the topological invariant is represented independent of the extra dimension requiring only the single-particle Green’s function at zero frequency of the interacting system. Furthermore, a modified twistedWe represent the Z2 topological invariant characterizing a one-dimensional topological superconductor using a Wess–Zumino–Witten dimensional extension. The invariant is formulated in terms of the single-particle Green’s function which allows us to classify interacting systems. Employing a recently proposed generalized Berry curvature method, the topological invariant is represented independent of the extra dimension requiring only the single-particle Green’s function at zero frequency of the interacting system. Furthermore, a modified twisted boundary conditions approach is used to rigorously define the topological invariant for disordered interacting systems.show moreshow less

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Metadaten
Author: Jan Carl Budich, Björn Trauzettel
URN:urn:nbn:de:bvb:20-opus-129751
Document Type:Journal article
Faculties:Fakultät für Physik und Astronomie / Institut für Theoretische Physik und Astrophysik
Language:English
Parent Title (English):New Journal of Physics
Year of Completion:2013
Volume:15
Issue:065006
Source:New Journal of Physics 15 (2013) 065006 (10pp). doi:10.1088/1367-2630/15/6/065006
DOI:https://doi.org/10.1088/1367-2630/15/6/065006
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 53 Physik / 530 Physik
Tag:Green's function
Release Date:2016/06/27
Licence (German):License LogoCC BY: Creative-Commons-Lizenz: Namensnennung