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Protocol to identify a topological superconducting phase in a three-terminal device
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We develop a protocol to determine the presence and extent of a topological phase with Majorana zero modes in a hybrid superconductor-semiconductor device. The protocol is based on conductance measurements in a three-terminal device with two normal leads and one superconducting lead. A radio-frequency technique acts as a proxy for the measurement of local conductance, allowing a rapid, systematic scan of the large experimental phase space of the device. Majorana zero modes cause zero bias conductance peaks at each end of the wire, so we identify promising regions of the phase space by filtering for this condition. To validate the presence of a topological phase, a subsequent measurement of the non-local conductance in these regions is used to detect a topological transition via the closing and reopening of the bulk energy gap. We define data analysis routines that allow for an automated and unbiased execution of the protocol. Our protocol is designed to screen out false positives, especially trivial Andreev bound states that mimic Majorana zero modes in local conductance. We apply the protocol to several examples of simulated data illustrating the detection of topological phases and the screening of false positives.
Forward citations
Cited by 6 Pith papers
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Majorana edge modes in isolated wires
In a number-conserving, long-range interacting 1D model, DMRG shows a vanishing odd-even ground state gap and edge correlation signatures consistent with Majorana zero modes.
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MEDA: Measurement-Efficient Disorder-Aware Majorana Zero Mode Detection in Realistic Devices
A machine-learning pipeline maps sparse simulated conductance data to a disorder-aware topological invariant (PDI), matching an idealized scattering-matrix oracle while using 10x fewer measurements.
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Phase-controlled quasi-bound states in the continuum and thermoelectric enhancement in Majorana-quantum-dot nanostructures
Phase differences between two Majorana superconducting wires create quadratic transmission zeros in a quantum-dot device, yielding a predicted electronic ZT_el≈0.75 and a universal Wiedemann–Franz violation of 21/5.
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Measuring coherence factors of states in superconductors through local current
A two-point local current ratio, sqrt(I_L(Γ_R=0)/I_L(Γ_R=Γ_L)), estimates the local Majorana polarization in short quantum-dot Kitaev chains.
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Distinct Lifetimes for $X$ and $Z$ Loop Measurements in a Majorana Tetron Device
A tetron device shows X and Z parity loops switching at 14.5 microseconds and 12.4 milliseconds, with assignment errors of 16% and 0.5%.
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Quantifying Non-Abelian Stability in Majorana Qubits through Rabi Beating Signatures
A quantum dot coupled to a Majorana qubit shows Rabi beating whose frequency encodes the qubit's non-ideal couplings, offering a quantitative stability probe.
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