{"id":"ab41abf9-d5af-4823-939f-f29f935063e3","arxiv_id":"2608.09845","paper_version":1,"verdict":"CONDITIONAL","confidence":"MODERATE","novelty_score":7.0,"correctness_risk":"medium","formal_verification":"none","parameter_count":5,"one_line_summary":"A quantum dot and a Majorana nanowire in an Aharonov-Bohm ring can shift the supercurrent into a one-directional unipolar regime, tunable by magnetic flux.","lead":"This paper proposes a device that turns a superconductor into a one-way valve for electrical current by combining a quantum dot with a Majorana nanowire in a magnetic interference loop. If it works, it would create a nearly perfect superconducting diode and give a new way to search for Majorana particles using simple dc current measurements.","discovery_kind":"new_application","skeptic_critique":{"model":"deepseek-v4-flash","headline":"The Z_TD diagnostic is internally inconsistent: gauge symmetry of the model forces η_u(φ) to be Φ0-periodic, so the half-integer Fourier coefficient A_{1/2} vanishes identically and Z_TD≡0, contradicting Fig. 8.","rationale":"The paper's headline mechanism—flux-tunable unipolar supercurrent through QD–Majorana AB interference—is physically plausible and supported by an analytic CCDOS derivation and some internal consistency checks. However, the paper's most distinctive and advertised contribution is Z_TD, defined as the ratio of the half-integer to integer Fourier harmonics of η_u(φ) and claimed to be a model-independent signature of the 4π-periodic Majorana channel. This claim fails under the model's own gauge symmetry. A simple U(1) rotation of the left and right lead fermions, combined with the φ→φ+π shift, maps the Hamiltonian exactly onto itself with the superconducting phase difference shifted by π. Since the CPR is 2π-periodic in that phase, the extrema and hence η_u are unchanged: η_u(φ+π)=η_u(φ). Thus η_u has period π in φ (flux period Φ0). Any function with this period has zero Fourier coefficient at k=1/2; even the weaker period-2π behavior shown in Fig. 5(a) would still give A_{1/2}=0. The reported A_{1/2}>0 in Fig. 8 is therefore an artifact, not a physical prediction. This is not a disagreement with external consensus; it is an internal contradiction between the model's symmetries, the stated periodicities, and the numerical Fourier analysis. The reader's weakest_assumption identified the lack of a trivial-system benchmark, which is related but less direct; our concern shows the diagnostic fails even for the topological system itself, so no benchmarking can rescue it. The rest of the manuscript—the unipolar CPR, the η_u metric, and the parameter robustness—could in principle survive removal of the Z_TD claim, but as written the paper's central conceptual contribution is invalid. Hence the appropriate verdict is REJECT, with the path to revision being a careful rederivation of the flux periodicity and either a corrected, physically meaningful diagnostic or an explicit retraction of the Z_TD claim.","tokens_in":25511,"tokens_out":37739,"duration_ms":336315,"concrete_test":"Recompute η_u(φ) from the paper's Hamiltonian (Eqs. 1–12) on a dense φ grid with the same parameters as Fig. 8 (ε_d=-0.25Δ, Γ_d=0.1Δ, Γ_M=0.21Δ, p=0, δ_M=0, T=0) and perform an FFT over φ∈[0,4π]. Verify (i) whether I(ϕ,φ+π)=I(ϕ-π,φ) holds to machine precision, and (ii) whether the k=1/2 Fourier amplitude A_{1/2} is zero within numerical tolerance. If A_{1/2}=0, Z_TD=0 and the claimed signature vanishes; if A_{1/2}≠0, repeat the same FFT on a strictly 2π-periodic test function to check the Fourier-analysis routine.","verdict_should_be":"REJECT","load_bearing_attack":"The central diagnostic Z_TD (Eq. 22) is not merely unbenchmarked; it is internally inconsistent with the model's gauge symmetry. Under the symmetric φ/4 phase assignment in Section II, the unitary transformation C_L→e^{iπ/4}C_L, C_R→e^{-iπ/4}C_R maps H(φ+π;ϕ) exactly onto H(φ;ϕ-π), because it rotates the lead pairings, leaving the phase difference shifted by π. Consequently the equilibrium supercurrent satisfies I(ϕ,φ+π)=I(ϕ-π,φ). Since the CPR is 2π-periodic in ϕ (as the paper states), the set of values of I over one period—and hence I_max, I_min, and η_u—is invariant under this shift: η_u(φ+π)=η_u(φ). Therefore η_u is Φ0-periodic (π-periodic in φ), not 2Φ0-periodic as claimed in Section III.E. A π-periodic function expanded on [0,4π] has only even integer Fourier harmonics k=2,4,...; in particular A_{1/2}≡0. Even taking the paper's own Fig. 5(a) literally—η_u positive on (0,π) and negative on (π,2π)—that function has period 2π in φ and still has no k=1/2 component. In either case Z_TD≡0 identically, contradicting Fig. 8, which reports Z_TD~10^3. The claim that 'a nonzero value provides a model-independent signature of the 4π-periodic Majorana channel' therefore cannot be true as stated; the large A_{1/2} in Fig. 8 is an artifact of the Fourier analysis, likely from not imposing the correct periodicity over the 4π window. This is load-bearing because Z_TD is the paper's central conceptual contribution.","agreement_with_reader":"partial"},"referee_report":{"model":"deepseek-v4-flash","summary":"The manuscript proposes a quantum-dot–Majorana Aharonov-Bohm interferometer as a superconducting rectifier. Using a nonequilibrium Green's function calculation, the authors argue that interference between a trivial 2π-periodic QD channel and a topological 4π-periodic Majorana channel produces, at non-integer flux, a persistent current background I_off that shifts the current-phase relation into a unipolar regime. They introduce a signed unipolarity factor η_u, relate it to the conventional diode efficiency, study robustness against parameters, temperature, and quasiparticle poisoning, and propose a topological diode figure of merit Z_TD defined as the ratio of half-integer to integer Fourier harmonics of η_u(φ). Appendix A gives an analytic derivation of the Majorana-channel current-carrying density of states.","tokens_in":26015,"tokens_out":14877,"duration_ms":137764,"significance":"If the central claims were correct, the paper would offer a new mechanism for unipolar supercurrents and a potentially useful diagnostic of Majorana-mediated transport. The NEGF calculation is a forward model with no data fitting, and Appendix A provides a transparent analytic derivation of the 4π periodicity, the spin cancellation, and the δ_M independence of the isolated Majorana-junction current. However, the proposed Z_TD diagnostic is internally inconsistent with the gauge symmetry of the model, and the claimed trivial-system benchmark is not actually computed. These issues affect the paper's main advertised contribution, so the manuscript in its present form is not publishable.","major_comments":[{"comment":"The topological diode figure of merit Z_TD is identically zero under the gauge symmetry of the model. The symmetric gauge phase assignment of Sec. II gives V_Ld∝e^{iφ/4}, V_Rd∝e^{-iφ/4}, t_L∝e^{-iφ/4}, t_R∝e^{iφ/4}. Rephasing the left lead by e^{iπ/4} and the right lead by e^{-iπ/4} maps H(φ+π,ϕ) exactly onto H(φ,ϕ−π), because the lead pairings acquire phases −π/2 and +π/2 while the tunneling amplitudes recover their φ values. Since the total supercurrent is 2π-periodic in ϕ, the set of current values over one ϕ period, and hence I_max, I_min, I_off, I_amp, and η_u, is invariant under φ→φ+π. Therefore η_u(φ) is π-periodic in φ. A π-periodic function expanded on [0,4π] has vanishing half-integer Fourier coefficients, so A_{1/2}=0 and Z_TD=0 identically. This contradicts Fig. 8, which reports Z_TD∼10^3. The contradiction is not resolved by the sign pattern stated in Sec. III.C (η_u>0.5 on (0,π), η_u<−0.5 on (π,2π)): that pattern is 2π-periodic in φ and therefore also has A_{1/2}=0. The only reading that would give a nonzero A_{1/2} is η_u(φ+2π)=−η_u(φ), which is neither the gauge-symmetric result nor the behavior described in Sec. III.C. The large A_{1/2} in Fig. 8 is an artifact of Fourier analysis over a 4π window without enforcing the correct periodicity. Because the abstract and Sec. III.E present Z_TD as a 'model-independent signature of the 4π-periodic Majorana channel,' this is a load-bearing error.","section":""},{"comment":"The claim that half-integer Fourier harmonics of η_u(φ) are 'strictly absent in any trivial SDE system' is not supported by any calculation. A purely trivial two-path AB interferometer is never solved under the same symmetric gauge convention, and Fig. 4(a) shows the trivial QD channel to be 2π-periodic in both φ and ϕ. The asserted flux period Φ0 for a trivial 2π-periodic CPR is therefore not demonstrated. Since this asserted trivial-system property is part of the justification for Z_TD's Majorana specificity, it needs an explicit benchmark calculation; in the current manuscript it is an assumption presented as a result.","section":""},{"comment":"The sign reversal of the unipolarity with flux stated in Sec. III.C is inconsistent with the gauge transformation described above. If η_u(φ+π)=η_u(φ), then the unipolar regime on (0,π) must repeat on (π,2π) rather than reverse sign. The numerical results in Fig. 5(a) need to be checked against this symmetry; either the implementation violates gauge invariance or the text misdescribes the plotted quantity. This is not a minor presentation issue because the sign-reversal pattern is used to justify the 2Φ0 period and the half-integer Fourier analysis.","section":""}],"minor_comments":[{"comment":"The text refers to 'Fig. effig4(a)' twice; the intended figure label should be corrected (likely Fig. 4(a) or Fig. 5(a)).","section":""},{"comment":"The sentence 'The unipolarity factor η_u can be extracted directly from the measured I_c^+ and I_c^- via Eq. (16)' cites the wrong equation; the definition of η_u is Eq. (13).","section":""},{"comment":"There is a duplicated incomplete sentence: 'The lesser Green’s function via the fluctuation-dissipation theorem, replacing the T=0 step function.' This sentence should be removed or completed.","section":""},{"comment":"The Fourier expansion η_u(φ)=Σ_k A_k cos(kφ+δ_k) on [0,4π] is not fully specified: the normalization of A_k, the parity convention, and the treatment of the endpoint 4π should be stated explicitly.","section":""}],"recommendation":"reject","confidential_remarks":"The manuscript's central advertised diagnostic, Z_TD, is invalid: the gauge symmetry of the model forces η_u(φ) to be π-periodic in φ, so the half-integer Fourier coefficient A_{1/2} vanishes identically. This is a load-bearing error, not a local fix. The unipolar-supercurrent mechanism may be salvageable in a future version that removes or redefines the Z_TD claim and supplies a proper trivial benchmark, but as submitted the abstract's headline result is contradicted by the model itself."},"author_rebuttal":null,"desk_editor":{"model":"deepseek-v4-flash","letter":"The central conceptual contribution, Z_TD, is internally inconsistent. Under the paper's symmetric φ/4 gauge choice, the unitary transformation C_L→e^{iπ/4}C_L, C_R→e^{-iπ/4}C_R maps H(φ+π;ϕ) exactly to H(φ;ϕ-π). Since the total CPR is 2π-periodic in ϕ, the extrema I_max and I_min are invariant under this shift, so η_u(φ+π)=η_u(φ). Therefore η_u is π-periodic in φ (i.e., Φ0-periodic), not 2Φ0-periodic as claimed in Section III.E. A π-periodic function expanded on [0,4π] has only even integer harmonics; A_{1/2}≡0 and Z_TD≡ 0. The large Z_TD reported in Fig. 8 is an artifact of the Fourier analysis, likely from not imposing the correct periodicity over the 4π window. This is load-bearing because Z_TD is the paper's central claim—it is presented as a model-independent topological signature.\n\nThe same gauge symmetry undermines the unipolar supercurrent itself. At φ=0 the paper says the CPR is antisymmetric (η_u=0). The symmetry then forces η_u(π)=η_u(0)=0, so the unipolar regime at φ=(2n+1)π cannot exist. The paper's own Fig. 5(a) shows η_u changing sign under φ→φ+π, directly violating the symmetry. This suggests a numerical error in the AB phase handling, not just a mislabeled period.\n\nWhat the paper does well: the analytical derivation in Appendix A is self-consistent and clearly explains the 4π periodicity of the isolated MBS channel, the spin cancellation at p=0, and the δ_M independence. The NEGF calculation is a forward model with no fitting parameters. The two-arm interferometer idea—one trivial 2π QD channel, one topological 4π MBS channel—is conceptually appealing, and the paper is well-written.\n\nBut the central results as stated cannot hold. The trivial interferometer is not benchmarked under the same gauge convention, and Fig. 4(a) itself shows the QD path is 2π-periodic in both φ and ϕ, inconsistent with the claimed Φ0 period for trivial systems. The quasiparticle poisoning model is also asserted without a quantitative derivation, though that is secondary.\n\nThis paper is for theorists working on Majorana-based rectification. It has a load-bearing mathematical inconsistency that a serious referee should verify. I would send it to peer review because the flaw is subtle and the analytical machinery might be salvageable, but the likely outcome is rejection unless the authors fix the periodicity issue and recompute the flux dependence.","headline":"The Z_TD diagnostic is not just unbenchmarked; the model's own gauge symmetry forces η_u to be Φ0-periodic, so A_{1/2}=0 and Z_TD≡0, and the same symmetry undermines the claimed unipolar supercurrent at half-integer flux.","tokens_in":26560,"tokens_out":12314,"would_cite":false,"duration_ms":105222,"reading_group":"maybe","serious_thinker":"yes","would_accept_peer_review":true},"rs_alignment":null,"lean_confirmation":null,"pith_extraction":{"msc":[],"pacs":["73.23.-b","74.50.+r","73.63.Kv"],"model":"deepseek-v4-flash","headline":"Magnetic flux at half-integer quanta converts a quantum-dot–Majorana interferometer into a strictly one-way supercurrent diode.","keywords":["superconducting diode effect","Majorana bound states","Aharonov-Bohm interferometer","4π-periodic Josephson effect","unipolar supercurrent","topological diode figure of merit","quantum dot","nonequilibrium Green's function"],"falsifier":"Compute η_u(φ) for an Aharonov-Bohm interferometer whose two arms are both ordinary quantum dots, using the same φ/4 gauge convention as the paper; a nonzero A_{1/2} Fourier component (or a 2Φ0 flux period of η_u instead of Φ0) would falsify the claim that half-integer harmonics are a unique signature of the 4π-periodic Majorana channel.","tokens_in":25284,"feed_emoji":"🧲","tokens_out":8436,"duration_ms":68751,"temperature":0.7,"pith_summary":"The paper proposes a superconducting rectifier built from an Aharonov-Bohm ring with two arms: a trivial quantum dot and a Majorana nanowire. It claims that at half-integer magnetic flux the interference between the 2π-periodic quantum-dot channel and the 4π-periodic Majorana channel produces a persistent current offset that shifts the current-phase relation into a unipolar regime, meaning the supercurrent flows strictly in one direction over the whole 2π phase range. The authors introduce a signed unipolarity factor η_u, defined so that |η_u|>0.5 marks the unipolar regime, and a topological diode figure of merit Z_TD equal to the ratio of half-integer to integer Fourier harmonics of η_u(φ). A nonzero Z_TD is presented as a model-independent signature of the 4π-periodic Majorana channel that separates topological from trivial rectification mechanisms. If correct, the effect gives a continuously flux-tunable diode whose rectification direction, magnitude, and topological origin are all readable from standard dc transport measurements.","feed_headline":"Half-integer flux turns a Majorana ring into a one-way supercurrent","feed_subtitle":"Interference between 2π and 4π channels creates a persistent current that blocks reverse flow","key_machinery":"The load-bearing element is the off-diagonal block of the lead-dressed self-energy, $\\Sigma_{dM}=V_L^\\dagger g_{LL}T_{LM}+V_R^\\dagger g_{RR}T_{RM}$, whose spin-dependent phase factors $e^{\\pm i\\varphi/2}$ set the relative phase between the quantum-dot and Majorana arms. The current is split into $I_{2\\pi}$ plus $I_{4\\pi}$, with $I_{4\\pi}$ the single-electron Majorana component that changes sign under a $2\\pi$ shift of the superconducting phase $\\phi$; the persistent background $I_{\\rm off}$ is the average of $I_{\\rm tot}$ over one $2\\pi$ period. The analytic current-carrying density of states for the Majorana arm, $j_{M\\uparrow(\\downarrow)}(\\varepsilon)=\\pm t_0^2(1-p)(|\\Delta|/\\varepsilon)\\,\\mathrm{Re}[e^{-i\\varphi/2}\\,\\mathrm{Im}\\sum_{i,j}G^r_{MM,ij}(\\varepsilon)]$, fixes the $4\\pi$ periodicity, the exact opposite signs of the spin channels, and the quenching of the Majorana current at full spin polarization $p=1$. A dimensionless leakage parameter $\\Lambda\\simeq\\sqrt{\\Gamma_d\\Gamma_M}/\\sqrt{\\varepsilon_d^2+\\Gamma_d^2/4}$ controls how much of the $4\\pi$ signal transfers into the quantum-dot path, identifying intermediate dot detuning as the optimal regime for unipolarity.","core_discovery":"The central claim is that flux-controlled quantum interference between topologically distinct arms converts a bipolar current-phase relation into a unipolar one. With the Aharonov-Bohm phase distributed symmetrically as $e^{{±iφ/4}}$ among the four tunneling amplitudes, neither arm alone acquires flux dependence, but the cross-coupling self-energy carries phase $e^{{±iφ/2}}$ and breaks time-reversal symmetry for φ not a multiple of 2π. The total current decomposes as I_tot = I_{2π} + I_{4π}, where the Majorana single-electron component satisfies I_{4π}(ϕ+2π) = −I_{4π}(ϕ); its average over a 2π window is the persistent background I_off, which vanishes at integer flux and is maximal at half-integer flux. When |I_off| exceeds the oscillation amplitude I_amp, the CPR no longer crosses zero, and the paper's signed unipolarity factor η_u = I_off/(|I_off| + I_amp) exceeds 0.5 in magnitude, defining a strict one-way supercurrent with the reverse-bias current suppressed. The paper further claims that the Fourier spectrum of η_u(φ) contains half-integer harmonics k = 1/2, 3/2, ... that are inherently absent for any purely 2π-periodic trivial channel, so Z_TD = A_{1/2}/A_1 being nonzero identifies the 4π-periodic Majorana origin of the rectification.","pith_inferences":["A natural test the paper leaves implicit: simulate a fully trivial two-arm Aharonov-Bohm interferometer under the same $\\varphi/4$ gauge to see whether half-integer Fourier harmonics of $\\eta_u(\\varphi)$ truly vanish; if they do not, $Z_{\\rm TD}$ would not be Majorana-specific.","The half-integer harmonic content of $\\eta_u(\\varphi)$ could be cross-checked against the asymmetric suppression of odd Shapiro steps in the same device, since both would trace back to the same $I_{4\\pi}$ component.","Because the paper attributes $I_{\\rm off}$ to continuum states above the gap, one testable extension is that unipolarity should be insensitive to the detailed subgap Andreev spectrum and should only degrade when $k_BT$ approaches the superconducting gap $\\Delta$.","The claim that $Z_{\\rm TD}$ tracks fermion parity suggests the same flux-resolved dc measurement could double as a parity readout if the sign of $A_{1/2}$ can be resolved, connecting the diode diagnostic to topological qubit measurements."],"forward_implications":["At flux phase $\\varphi=(2n+1)\\pi$, the total current-phase relation is strictly positive (or strictly negative at the next half-integer), so the reverse critical current is suppressed and the conventional diode efficiency saturates toward $\\eta=1$.","The polarity and magnitude of the rectification can be reversed continuously by sweeping the Aharonov-Bohm flux in situ, without reversing an external magnetic field or rewiring the device.","The $4\\pi$-periodic Majorana component leaks into the quantum-dot path most efficiently at intermediate dot detuning $|\\varepsilon_d|\\sim\\Gamma_d$, so optimal unipolarity occurs away from resonance.","Thermal smearing reduces the $2\\pi$ oscillatory amplitude more than the continuum-sourced persistent background, so $|\\eta_u|$ is mildly enhanced up to $k_B T\\simeq 0.1\\Delta$, and quasiparticle poisoning mainly affects coherent $4\\pi$ ac signals rather than the dc unipolarity.","A nonzero $Z_{\\rm TD}$ is claimed to be a sufficient condition for the presence of the $4\\pi$-periodic Majorana channel, while conventional Rashba, ferromagnet, and topological-insulator-surface superconducting diode platforms all give $Z_{\\rm TD}=0$."],"supporting_citations":[{"why":"Supplies the fractional 4π-periodic Josephson effect as the hallmark of Majorana-mediated single-electron tunneling that the MBS arm relies on.","marker":"[31]"},{"why":"Cites the Coulomb stability of the 4π effect, anchoring the claim that the fractional periodicity survives realistic charging conditions.","marker":"[32]"},{"why":"Provides the model and physics of a 4π-periodic anomalous Josephson effect between Majorana zero modes used for the MBS-lead coupling.","marker":"[33]"},{"why":"Experimental observation of a 4π-periodic Josephson supercurrent used to ground the expected signatures and measurement timescales.","marker":"[35]"},{"why":"Recent prediction of a giant Josephson diode effect in multiband topological nanowires, used both as a comparison and as a realization route for the nanowire.","marker":"[37]"},{"why":"Baseline trivial Rashba-coupled quantum-dot junction diode whose bipolar efficiency the present scheme is compared against.","marker":"[18]"},{"why":"The structurally similar Aharonov-Bohm interferometer with two quantum dots; the trivial counterpart whose absence of half-integer harmonics underlies the specificity claim for Z_TD.","marker":"[21]"},{"why":"Supplies the nonequilibrium Green's function treatment of Josephson and Andreev transport through quantum dots, including the subgap ABS physics used for the 2π arm.","marker":"[50]"},{"why":"Model of a quantum dot coupled to Majorana bound states and the spin-resolved detection scheme used for the interferometer.","marker":"[51]"}],"fun_headline_variants":["Flux-tuned interference turns Majorana ring into a one-way supercurrent","Half-integer flux creates unipolar supercurrent in Majorana–quantum-dot ring","Aharonov-Bohm phase induces topological rectification in Majorana interferometer","Quantum-dot-Majorana interferometer: a magnetically controlled diode","Unipolar supercurrent from 2π vs 4π interference in Majorana–dot ring"],"cache_read_input_tokens":3200,"weakest_assumption_plain":"The load-bearing premise is that a purely trivial, 2π-periodic current-phase relation in an Aharonov-Bohm interferometer produces a flux period of Φ0 and strictly no half-integer Fourier harmonics of η_u(φ); if a trivial two-path system also produced such harmonics, the claimed Majorana specificity of Z_TD would collapse.","fun_headline_variants_meta":{"raw":{"variants":["Flux-tuned interference turns Majorana ring into a one-way supercurrent","Half-integer flux creates unipolar supercurrent in Majorana–quantum-dot ring","Aharonov-Bohm phase induces topological rectification in Majorana interferometer","Quantum-dot-Majorana interferometer: a magnetically controlled diode","Unipolar supercurrent from 2π vs 4π interference in Majorana–dot ring"]},"model":"deepseek-v4-flash","effort":"low","cost_usd":0.000798,"raw_usage":{"total_tokens":3605,"prompt_tokens":1132,"completion_tokens":2473,"prompt_tokens_details":{"cached_tokens":384},"prompt_cache_hit_tokens":384,"prompt_cache_miss_tokens":748,"completion_tokens_details":{"reasoning_tokens":2366}},"tokens_in":748,"tokens_out":2473,"duration_ms":17163,"temperature":1.0,"reasoning_tokens":2366,"cache_read_input_tokens":384,"cache_creation_input_tokens":0},"cache_creation_input_tokens":0},"created_at":"2026-08-11T05:34:19.939809+00:00","model_set":{"reader":"deepseek-v4-flash"},"falsifier":"Compute η_u(φ) for an Aharonov-Bohm interferometer whose two arms are both ordinary quantum dots, using the same φ/4 gauge convention as the paper; a nonzero A_{1/2} Fourier component (or a 2Φ0 flux period of η_u instead of Φ0) would falsify the claim that half-integer harmonics are a unique signature of the 4π-periodic Majorana channel.","supporting_citations":[{"cited_title":"Fu and C","cited_arxiv_id":null,"evidence_quote":"Supplies the fractional 4π-periodic Josephson effect as the hallmark of Majorana-mediated single-electron tunneling that the MBS arm relies on."},{"cited_title":"van Heck, F","cited_arxiv_id":null,"evidence_quote":"Cites the Coulomb stability of the 4π effect, anchoring the claim that the fractional periodicity survives realistic charging conditions."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Provides the model and physics of a 4π-periodic anomalous Josephson effect between Majorana zero modes used for the MBS-lead coupling."},{"cited_title":"Wiedenmann, E","cited_arxiv_id":null,"evidence_quote":"Experimental observation of a 4π-periodic Josephson supercurrent used to ground the expected signatures and measurement timescales."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Recent prediction of a giant Josephson diode effect in multiband topological nanowires, used both as a comparison and as a realization route for the nanowire."},{"cited_title":"Debnath, P","cited_arxiv_id":null,"evidence_quote":"Baseline trivial Rashba-coupled quantum-dot junction diode whose bipolar efficiency the present scheme is compared against."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"The structurally similar Aharonov-Bohm interferometer with two quantum dots; the trivial counterpart whose absence of half-integer harmonics underlies the specificity claim for Z_TD."},{"cited_title":"Mart ´ ın-Rodero, A","cited_arxiv_id":null,"evidence_quote":"Supplies the nonequilibrium Green's function treatment of Josephson and Andreev transport through quantum dots, including the subgap ABS physics used for the 2π arm."},{"cited_title":null,"cited_arxiv_id":null,"evidence_quote":"Model of a quantum dot coupled to Majorana bound states and the spin-resolved detection scheme used for the interferometer."}],"review_version":1}