Electrical transport through a quantum dot side-coupled to a topological superconductor

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We propose to measure the differential conductance G as a function of the bias V for a quantum dot side-coupled to a topological superconductor to detect the existence of the chiral Majorana edge states. It turns out that G for the spinless dot is an oscillatory (but not periodic) function of eV due to the coupling to the chiral Majorana edge states, where -e is the charge carried by the electron. The behaviour of G versus eV is distinguished from that of a multi-level dot in three respects. First of all, due to the coupling to the topological superconductor, the value of G will shift upon adding or removing a vortex in the topological superconductor. Next, for an off-resonance dot, the conductance peak in the present case takes a universal value e2/(2h) when the two leads are symmetrically coupled to the dot. Finally, for a symmetric setup and an on-resonance dot, the conductance peak will approach the same universal value e2/(2h) at a large bias.

Original languageEnglish
Article number455702
JournalJournal of Physics Condensed Matter
Volume26
Issue number45
DOIs
Publication statusPublished - 2014 Nov 12

Fingerprint

Superconducting materials
Semiconductor quantum dots
quantum dots
periodic functions
Vortex flow
vortices
Electrons
shift
electrons

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Condensed Matter Physics

Cite this

@article{6b061633714e413092eb69203eedbcd7,
title = "Electrical transport through a quantum dot side-coupled to a topological superconductor",
abstract = "We propose to measure the differential conductance G as a function of the bias V for a quantum dot side-coupled to a topological superconductor to detect the existence of the chiral Majorana edge states. It turns out that G for the spinless dot is an oscillatory (but not periodic) function of eV due to the coupling to the chiral Majorana edge states, where -e is the charge carried by the electron. The behaviour of G versus eV is distinguished from that of a multi-level dot in three respects. First of all, due to the coupling to the topological superconductor, the value of G will shift upon adding or removing a vortex in the topological superconductor. Next, for an off-resonance dot, the conductance peak in the present case takes a universal value e2/(2h) when the two leads are symmetrically coupled to the dot. Finally, for a symmetric setup and an on-resonance dot, the conductance peak will approach the same universal value e2/(2h) at a large bias.",
author = "Lee, {Yu Li}",
year = "2014",
month = "11",
day = "12",
doi = "10.1088/0953-8984/26/45/455702",
language = "English",
volume = "26",
journal = "Journal of Physics Condensed Matter",
issn = "0953-8984",
publisher = "IOP Publishing Ltd.",
number = "45",

}

Electrical transport through a quantum dot side-coupled to a topological superconductor. / Lee, Yu Li.

In: Journal of Physics Condensed Matter, Vol. 26, No. 45, 455702, 12.11.2014.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Electrical transport through a quantum dot side-coupled to a topological superconductor

AU - Lee, Yu Li

PY - 2014/11/12

Y1 - 2014/11/12

N2 - We propose to measure the differential conductance G as a function of the bias V for a quantum dot side-coupled to a topological superconductor to detect the existence of the chiral Majorana edge states. It turns out that G for the spinless dot is an oscillatory (but not periodic) function of eV due to the coupling to the chiral Majorana edge states, where -e is the charge carried by the electron. The behaviour of G versus eV is distinguished from that of a multi-level dot in three respects. First of all, due to the coupling to the topological superconductor, the value of G will shift upon adding or removing a vortex in the topological superconductor. Next, for an off-resonance dot, the conductance peak in the present case takes a universal value e2/(2h) when the two leads are symmetrically coupled to the dot. Finally, for a symmetric setup and an on-resonance dot, the conductance peak will approach the same universal value e2/(2h) at a large bias.

AB - We propose to measure the differential conductance G as a function of the bias V for a quantum dot side-coupled to a topological superconductor to detect the existence of the chiral Majorana edge states. It turns out that G for the spinless dot is an oscillatory (but not periodic) function of eV due to the coupling to the chiral Majorana edge states, where -e is the charge carried by the electron. The behaviour of G versus eV is distinguished from that of a multi-level dot in three respects. First of all, due to the coupling to the topological superconductor, the value of G will shift upon adding or removing a vortex in the topological superconductor. Next, for an off-resonance dot, the conductance peak in the present case takes a universal value e2/(2h) when the two leads are symmetrically coupled to the dot. Finally, for a symmetric setup and an on-resonance dot, the conductance peak will approach the same universal value e2/(2h) at a large bias.

UR - http://www.scopus.com/inward/record.url?scp=84908266977&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84908266977&partnerID=8YFLogxK

U2 - 10.1088/0953-8984/26/45/455702

DO - 10.1088/0953-8984/26/45/455702

M3 - Article

AN - SCOPUS:84908266977

VL - 26

JO - Journal of Physics Condensed Matter

JF - Journal of Physics Condensed Matter

SN - 0953-8984

IS - 45

M1 - 455702

ER -