Parity measurement in topological Josephson junctions
| Autor: | Björn Trauzettel, François Crépin |
|---|---|
| Rok vydání: | 2013 |
| Předmět: |
Josephson effect
Physics Bosonization Condensed Matter::Quantum Gases Condensed matter physics Condensed Matter - Mesoscale and Nanoscale Physics General Physics and Astronomy Topology Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Pi Josephson junction Condensed Matter - Strongly Correlated Electrons Quantum mechanics Topological insulator Condensed Matter::Superconductivity Coulomb Quasiparticle Parity anomaly Parity (mathematics) |
| Zdroj: | Physical review letters. 112(7) |
| ISSN: | 1079-7114 |
| Popis: | We study the properties of a topological Josephson junction made of both edges of a 2D topological insulator. We show that, due to fermion parity pumping across the bulk, the global parity of the junction has a clear signature in the periodicity and critical value of the Josephson current. In particular, we find that the periodicity with the flux changes from $4\pi$ in a junction with an even number of quasi-particles to $2\pi$ in the odd sector. In the case of long junctions, we exhibit a rigorous mathematical connection between the spectrum of Andreev bound-states and the fermion parity anomaly, through bosonization. Additionally, we discuss the rather quantitative effects of Coulomb interactions on the Josephson current. Comment: 4 and half pages, 2 figures |
| Databáze: | OpenAIRE |
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