Local and Nonlocal Transport Spectroscopy in Planar Josephson Junctions

Banerjee, A.; Lesser, O.; Rahman, M. A.; Thomas, C.; Wang, T.; Manfra, M. J.; Berg, E.; Oreg, Y.; Stern, Ady; Marcus, C. M.

doi:10.48550/arxiv.2205.09419

Cited by 5 publications

(7 citation statements)

References 38 publications

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“…Motivated by recent experimental success in measuring multiterminal electric differential conductance [2,5,8,9,[18][19][20] and the need to characterize hybrid superconductor semiconductor devices, we here extend the theory of multiterminal tunneling spectroscopy to extract additional information on the electronic and Andreev transmission processes from linear combinations of local and nonlocal differential conductance measurements at different bias voltage or magnetic fields. These linear combinations are derived using conditions that follow from quasiparticle number conservation, microreversibility, and particle-hole conjugation in the presence of superconductivity.…”

Section: Introductionmentioning

confidence: 99%

Conductance-matrix symmetries of multiterminal semiconductor-superconductor devices

Maiani,

Geier,

Flensberg

2022

Preprint

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Nonlocal tunneling spectroscopy of multiterminal semiconductor-superconductor hybrid devices is a powerful tool to investigate the Andreev bound states below the parent superconducting gap. We examine how to exploit both microscopic and geometrical symmetries of the system to extract information on the normal and Andreev transmission probabilities from the multiterminal electric or thermoelectric differential conductance matrix under the assumption of an electrostatic potential landscape independent of the bias voltages, as well as the absence of leakage currents. These assumptions lead to several symmetry relations on the conductance matrix. Next, by considering a numerical model of a proximitized semiconductor wire with spin-orbit coupling and two normal contacts at its ends, we show how such symmetries can be used to identify the direction and relative strength of Rashba versus Dresselhaus spin-orbit coupling. Finally, we study how a voltage-biasdependent electrostatic potential as well as quasiparticle leakage break the derived symmetry relations and investigate characteristic signatures of these two contributions.

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Section: Introductionmentioning

confidence: 99%

Conductance-matrix symmetries of multiterminal semiconductor-superconductor devices

Maiani,

Geier,

Flensberg

2022

Preprint

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“…One way towards strong MBS evidence is a combined measurement on the same device. Recent experiments have combined either local and nonlocal tunneling spectroscopy [43][44][45][46][47][48], or local tunneling and Coulomb spectroscopy [49], in different sophisticated devices. Alternatively, the combined measurement of local tunneling spectroscopy and current noise is more attractive and practical as no modification of the existing devices is re-quired.…”

mentioning

confidence: 99%

Towards strong evidence of Majorana bound state by a combined measurement of tunneling conductance and current noise

Cao¹,

Z²,

Zhang³

et al. 2023

Preprint

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Recently, hunting-Majorana community has reported the experimental observations of nearly quantized conductance plateau and integer Fano factor: both phenomena were believed as exclusive hallmarks of Majorana bound state. Within a unified theoretical framework, we show that zeroenergy Andreev bound states can also generate both a nearly quantized conductance plateau, and an integer Fano factor, in a sizable, continuous, yet topologically trivial parameter space. Importantly, we further propose to obtain strong Majorana evidence by a combined measurement of tunneling conductance and current noise. Specifically, for a Majorana bound state and zero-energy Andreev bound state, a nearly quantized zero-bias conductance peak always accompanies a zero-bias dip and peak, respectively, of the differential current noise. This protocol, designed for the simplest two-terminal device, can be practically implemented in multiple MBS candidate platforms.

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“…Figure 1(c) shows an electron micrograph of one of the devices, along with a schematic electrical circuit. The device geometry, fabrication method, and measurement setup has been discussed in detail in previous works [41,42]. Briefly, the Josephson junction device has a superconducting loop that connects the two superconducting leads, allowing phase-biasing by the application of a small (0.1 mT scale) out-of-plane magnetic field, B ⊥ .…”

mentioning

confidence: 99%

Phase Asymmetry of Andreev Spectra From Cooper-Pair Momentum

Banerjee¹,

Geier²,

Rahman³

et al. 2023

Preprint

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In analogy to conventional semiconductor diodes, the Josephson diode exhibits superconducting properties that are asymmetric in applied bias. The effect has been investigated in number of systems recently, and requires a combination of broken time-reversal and inversion symmetries. We demonstrate a dual of the usual Josephson diode effect, a nonreciprocal response of Andreev bound states to a superconducting phase difference across the normal region of a superconductor-normalsuperconductor Josephson junction, fabricated using an epitaxial InAs/Al heterostructure. Phase asymmetry of the subgap Andreev spectrum is absent in the absence of in-plane magnetic field and reaches a maximum at 0.15 T applied in the plane of the junction transverse to the current direction. We interpret the phase diode effect in this system as resulting from finite-momentum Cooper pairing due to orbital coupling to the in-plane magnetic field, without invoking Zeeman or spin-orbit coupling.Nonreciprocal effects in superconducting systems have attracted significant recent interest. A primary motivation is to engineer a superconducting diode, a circuit element that supports dissipationless flow of current in one direction but is resistive in the opposite [1]. Nonreciprocity of supercurrent flow has been observed in thin film superconductors [2][3][4][5][6][7][8][9][10][11] and Josephson junction devices [12][13][14][15][16]. In general, nonreciprocal superconductivity requires the breaking of time-reversal and inversion symmetries [17][18][19][20][21][22][23][24][25][26][27][28], also prerequisites for various topological superconducting states. Nonreciprocal effects may therefore also serve as a marker for unconventional superconducting order [9,10,18,20,29].

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Local and Nonlocal Transport Spectroscopy in Planar Josephson Junctions

Cited by 5 publications

References 38 publications

Conductance-matrix symmetries of multiterminal semiconductor-superconductor devices

Conductance-matrix symmetries of multiterminal semiconductor-superconductor devices

Towards strong evidence of Majorana bound state by a combined measurement of tunneling conductance and current noise

Phase Asymmetry of Andreev Spectra From Cooper-Pair Momentum

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