\mathbb Z₂ Green's function topology of Majorana wires

2012/07/31 by Jan Carl Budich, Björn Trauzettel
Physics and Astronomy · #Berry connection and curvature #Curvature #Invariant (physics) #MAJORANA #Quantum Mechanics and Non-Hermitian Physics #Quantum many-body systems #Scaling dimension #Topological Materials and Phenomena #Topological entropy in physics #Topological quantum number #Topology (electrical circuits) #cond-mat.mes-hall

paper · pdf · doi:10.1088/1367-2630/15/6/065006

published as New J. Phys. 15 (2013) 065006 · final version

openalex publication_date 2013/06/04 · arxiv created 2013/06/05 · arxiv updated 2013/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We represent the 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.

Citations

• Topological field theory of time-reversal invariant insulators
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Global aspects of current algebra
• TOPOLOGICAL ORDERS IN RIGID STATES
• Simplified Topological Invariants for Interacting Insulators
• Topological Invariants for Spin-Orbit Coupled Superconductor Nanowires
• Helical Liquids and Majorana Bound States in Quantum Wires
• Anomalous Zero-Bias Conductance Peak in a Nb–InSb Nanowire–Nb Hybrid Device
• Unpaired Majorana fermions in quantum wires
• Stability of Majorana fermions in proximity-coupled topological insulator nanowires