Tunneling between a topological superconductor and a Luttinger liquid

Yu Wen Lee, Yu Li Lee

Research output: Contribution to journalArticle

5 Citations (Scopus)

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 arises 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.

Original languageEnglish
Article number125417
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume89
Issue number12
DOIs
Publication statusPublished - 2014 Mar 13

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Superconducting materials
Point contacts
Liquids
liquids
low temperature physics
Physics
Temperature
Electron-electron interactions
Backscattering
backscattering
counting
electron scattering
transport properties
Transport properties
statistics
wire
temperature dependence
physics
Statistics
Wire

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

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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 arises 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.",
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Tunneling between a topological superconductor and a Luttinger liquid. / Lee, Yu Wen; Lee, Yu Li.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 89, No. 12, 125417, 13.03.2014.

Research output: Contribution to journalArticle

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