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Tunneling between a topological superconductor and a Luttinger liquid
- Source :
- Physical Review B. 89
- Publication Year :
- 2014
- Publisher :
- American Physical Society (APS), 2014.
-
Abstract
- We study the quantum point contact between the topological superconductor and the helical Luttinger liquid. The effects of the electron-electron interactions in the helical Luttinger liquid on the low-energy physics of this system are analyzed by the renormalization group. Among the various couplings at the point contact which arise from the tunneling via the Majorana edge channel, the induced backscattering in the helical Luttinger liquid is the most relevant for repulsive interactions. Hence, at low temperatures, the helical Luttinger liquid is effectively cut into two separated half wires. As a result, the low-temperature physics is described by a fixed point consisting of two leads coupled to the topological superconductor, and the electrical transport properties through the point contact at low temperature and low bias are dominated by the tunneling via the Majorana edge channel. We compute the temperature dependence of the zero-bias tunneling conductance and study the full counting statistics for the tunneling current at zero temperature.<br />7 pages, 2 figure
- Subjects :
- Physics
Superconductivity
Strongly Correlated Electrons (cond-mat.str-el)
Condensed Matter - Mesoscale and Nanoscale Physics
Condensed matter physics
Quantum point contact
FOS: Physical sciences
Fixed point
Edge (geometry)
Renormalization group
Condensed Matter::Mesoscopic Systems and Quantum Hall Effect
Condensed Matter Physics
Topology
Electronic, Optical and Magnetic Materials
Condensed Matter - Strongly Correlated Electrons
MAJORANA
Luttinger liquid
Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Quantum tunnelling
Subjects
Details
- ISSN :
- 1550235X and 10980121
- Volume :
- 89
- Database :
- OpenAIRE
- Journal :
- Physical Review B
- Accession number :
- edsair.doi.dedup.....1f9ac8106d6ae3f614fc9dcc9c9e4357