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 language | English |
|---|---|
| Article number | 455702 |
| Journal | Journal of Physics Condensed Matter |
| Volume | 26 |
| Issue number | 45 |
| DOIs | |
| Publication status | Published - 2014 Nov 12 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Materials Science(all)
- Condensed Matter Physics
Cite this
}
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 journal › Article
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 -