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

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Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems. / Simons, Thomas; Romito, Alessandro; Meidan, Dganit.
In: Physical Review B: Condensed Matter and Materials Physics, Vol. 104, No. 15, 155422 , 15.10.2021.

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Simons T, Romito A, Meidan D. Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems. Physical Review B: Condensed Matter and Materials Physics. 2021 Oct 15;104(15):155422 . doi: 10.1103/PhysRevB.104.155422

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Simons, Thomas ; Romito, Alessandro ; Meidan, Dganit. / Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems. In: Physical Review B: Condensed Matter and Materials Physics. 2021 ; Vol. 104, No. 15.

Bibtex

@article{bbcec9184aa646ff8285dc5721265e57,
title = "Relation between scattering matrix topological invariants and conductance in Floquet Majorana systems",
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. ",
keywords = "cond-mat.mes-hall",
author = "Thomas Simons and Alessandro Romito and Dganit Meidan",
note = "{\textcopyright} 2021 American Physical Society ",
year = "2021",
month = oct,
day = "15",
doi = "10.1103/PhysRevB.104.155422",
language = "English",
volume = "104",
journal = "Physical Review B: Condensed Matter and Materials Physics",
issn = "1098-0121",
publisher = "AMER PHYSICAL SOC",
number = "15",

}

RIS

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 -