Detecting topological superconductivity using low-frequency doubled Shapiro steps

F. Setiawan; Jay D. Sau

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Detecting topological superconductivity using low-frequency doubled Shapiro steps

Jay D. Sau, F. Setiawan

Mesoscale and Nanoscale Physics · Submitted 1 Sep 2016

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We prove that a variant of the fractional ac Josephson effect, namely, the low-frequency doubled Shapiro steps, can provide a more reliable signature of the topological superconducting state.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,360 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.35 · human participants 0.02 · controlled comparison 0.21 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.83 · mentions code or data availability 0.02.

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arXiv listing abstract v3. Results and the main claim are underlined; show every role.

The fractional Josephson effect has been observed in many instances as a signature of a topological superconducting state containing zero-energy Majorana modes. We present a nontopological scenario which can produce a fractional Josephson effect generically in semiconductor-based Josephson junctions, namely, a resonant impurity bound state weakly coupled to a highly transparent channel. We show that the fractional ac Josephson effect can be generated by the Landau-Zener processes which flip the electron occupancy of the impurity bound state. The Josephson effect signature for Majorana modes become distinct from this nontopological scenario only at low frequency. We prove that a variant of the fractional ac Josephson effect, namely, the low-frequency doubled Shapiro steps, can provide a more reliable signature of the topological superconducting state.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The fractional Josephson effect has been observed in many instances as a signature of a topological superconducting state containing zero-energy Majorana modes.	background 1.00	0.05	0.03	asserted 0.98
s1	We present a nontopological scenario which can produce a fractional Josephson effect generically in semiconductor-based Josephson junctions, namely, a resonant impurity bound state weakly coupled to a highly transparent channel.	contribution 0.91	0.65	0.06	asserted 0.85
s2	We show that the fractional ac Josephson effect can be generated by the Landau-Zener processes which flip the electron occupancy of the impurity bound state.	result 0.53	0.85	0.05	asserted 1.00
s3	The Josephson effect signature for Majorana modes become distinct from this nontopological scenario only at low frequency.	result 0.67	0.53	0.10	asserted 0.99
s4	We prove that a variant of the fractional ac Josephson effect, namely, the low-frequency doubled Shapiro steps, can provide a more reliable signature of the topological superconducting state.	result 0.50	0.90	0.90	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.85 · evidence from proof or derivation 0.95.

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arXiv listing abstract v3

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full text
figures and tables
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P abstract

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T body sentences
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Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The fractional Josephson effect has been observed in many instances as a signature of a topological superconducting state containing zero-energy Majorana modes. We present a nontopological scenario which can produce a fractional Josephson effect generically in semiconductor-based Josephson junctions, namely, a resonant impurity bound state weakly coupled to a highly transparent channel. We show that the fractional ac Josephson effect can be generated by the Landau-Zener processes which flip the electron occupancy of the impurity bound state. The Josephson effect signature for Majorana modes become distinct from this nontopological scenario only at low frequency. We prove that a variant of the fractional ac Josephson effect, namely, the low-frequency doubled Shapiro steps, can provide a more reliable signature of the topological superconducting state.

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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it

Cites it as background 1 paper

The Shapiro experiment in a topological Josephson junction has been theoretically analyzed by means of a semiclassical RSJ model [ref] , and with a finite capacitance in the high ac-bias limit [ref] .

Signatures of a 4$\pi$-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions · Introduction · 0.87

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