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Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems
AU - Simons, Thomas
AU - Romito, Alessandro
AU - Meidan, Dganit
N1 - © 2021 American Physical Society
PY - 2021/10/15
Y1 - 2021/10/15
N2 - We analyze the conductance of a one-dimensional topological superconductor periodically driven to host Floquet Majorana zero-modes for different configurations of coupling to external leads. We compare the conductance of constantly coupled leads, as in standard transport experiments, with the stroboscopic conductance of pulsed coupling to leads used to identify a scattering matrix topological index for periodically driven systems. We find that the sum of DC conductance at voltages multiples of the driving frequency is quantitatively close to the stroboscopic conductance at all voltage biases. This is consistent with previous work which indicated that the summed conductance at zero/pi resonance is quantized. We quantify the difference between the two in terms of the width of their respective resonances and analyze that difference for two different stroboscopic driving protocols of the Kitaev chain. While the quantitative differences are protocol-dependent, we find that generically the discrepancy is larger when the zero mode weight at the end of the chain depends strongly on the offset time between the driving cycle and the pulsed coupling period.
AB - We analyze the conductance of a one-dimensional topological superconductor periodically driven to host Floquet Majorana zero-modes for different configurations of coupling to external leads. We compare the conductance of constantly coupled leads, as in standard transport experiments, with the stroboscopic conductance of pulsed coupling to leads used to identify a scattering matrix topological index for periodically driven systems. We find that the sum of DC conductance at voltages multiples of the driving frequency is quantitatively close to the stroboscopic conductance at all voltage biases. This is consistent with previous work which indicated that the summed conductance at zero/pi resonance is quantized. We quantify the difference between the two in terms of the width of their respective resonances and analyze that difference for two different stroboscopic driving protocols of the Kitaev chain. While the quantitative differences are protocol-dependent, we find that generically the discrepancy is larger when the zero mode weight at the end of the chain depends strongly on the offset time between the driving cycle and the pulsed coupling period.
KW - cond-mat.mes-hall
U2 - 10.1103/PhysRevB.104.155422
DO - 10.1103/PhysRevB.104.155422
M3 - Journal article
VL - 104
JO - Physical Review B: Condensed Matter and Materials Physics
JF - Physical Review B: Condensed Matter and Materials Physics
SN - 1098-0121
IS - 15
M1 - 155422
ER -