Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems

Simons, Thomas and Romito, Alessandro and Meidan, Dganit (2021) Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems. Physical Review B: Condensed Matter and Materials Physics. ISSN 1098-0121 (In Press)

[img]
Text (2105.14842v1)
2105.14842v1.pdf

Download (2MB)
[img]
Text (scattering-pi-majo-final)
scattering_pi_majo_final.pdf - Accepted Version
Available under License Creative Commons Attribution-NonCommercial.

Download (2MB)

Abstract

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.

Item Type:
Journal Article
Journal or Publication Title:
Physical Review B: Condensed Matter and Materials Physics
Additional Information:
© 2021 American Physical Society
Subjects:
ID Code:
160607
Deposited By:
Deposited On:
07 Oct 2021 14:15
Refereed?:
Yes
Published?:
In Press
Last Modified:
26 Oct 2021 00:27