Absence of supercurrent sign reversal in a topological junction with a quantum dot
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Absence of supercurrent sign reversal in a topological junction with a quantum dot. / Schulenborg, J.; Flensberg, K.
In: Physical Review B, Vol. 101, No. 1, 014512, 28.01.2020.Research output: Contribution to journal › Journal article › peer-review
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TY - JOUR
T1 - Absence of supercurrent sign reversal in a topological junction with a quantum dot
AU - Schulenborg, J.
AU - Flensberg, K.
PY - 2020/1/28
Y1 - 2020/1/28
N2 - Experimental techniques to verify Majoranas are of current interest. A prominent test is the effect of Majoranas on the Josephson current between two wires linked via a normal junction. Here, we study the case of a quantum dot connecting the two superconductors and the sign of the supercurrent in the trivial and topological regimes under grand-canonical equilibrium conditions, explicitly allowing for parity changes due to, e.g., quasiparticle poisoning. We find that the well-known supercurrent reversal for odd occupancy of the quantum dot (π junction) in the trivial case does not occur in the presence of Majoranas in the wires. However, we also find this to be a mere consequence of Majoranas being zero energy states. Therefore, the lack of supercurrent sign reversal can also be caused by trivial bound states and is thus not a discriminating signature of Majoranas.
AB - Experimental techniques to verify Majoranas are of current interest. A prominent test is the effect of Majoranas on the Josephson current between two wires linked via a normal junction. Here, we study the case of a quantum dot connecting the two superconductors and the sign of the supercurrent in the trivial and topological regimes under grand-canonical equilibrium conditions, explicitly allowing for parity changes due to, e.g., quasiparticle poisoning. We find that the well-known supercurrent reversal for odd occupancy of the quantum dot (π junction) in the trivial case does not occur in the presence of Majoranas in the wires. However, we also find this to be a mere consequence of Majoranas being zero energy states. Therefore, the lack of supercurrent sign reversal can also be caused by trivial bound states and is thus not a discriminating signature of Majoranas.
U2 - 10.1103/PhysRevB.101.014512
DO - 10.1103/PhysRevB.101.014512
M3 - Journal article
AN - SCOPUS:85078700343
VL - 101
JO - Physical Review B
JF - Physical Review B
SN - 2469-9950
IS - 1
M1 - 014512
ER -
ID: 242668059