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REVIEW 3 major objections 5 minor 2 cited by

Tunable superconducting diode effect in a topological nano-SQUID

T0 review · 3 major / 5 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read A single topological-insulator nanowire junction acts as a nano-SQUID whose superconducting diode efficiency reaches 0.3 and changes sign at half-integer flux quanta, a signature the authors tie to a topological phase transition.

desk verdict A genuinely new and robust experimental Josephson diode in an intrinsic TI-nanowire nano-SQUID, but the topological reading of the sign reversal is not supported by the current-biased data and should be softened. read the letter →

arxiv 2412.16569 v3 pith:KEXFD7LB submitted 2024-12-21 cond-mat.supr-con cond-mat.mes-hallcond-mat.mtrl-sci

Ella Nikodem , Jakob Schluck , Max Geier , Michal Papaj , Henry F. Legg , Junya Feng , Mahasweta Bagchi , Liang Fu
show 1 more author
Yoichi Ando
This is my paper · ORCID
classification cond-mat.supr-concond-mat.mes-hallcond-mat.mtrl-sci PACS 74.50.+r
keywords Josephsondiodeeffectnano-SQUIDtopologicalinsulatornanowireMajoranazeromodessuperconductingcurrent-phaserelationphasetransitionBiSbTeSe2
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper reports that a simple Josephson junction made by side-contacting a topological-insulator nanowire with superconducting electrodes acts as an intrinsic nano-SQUID: supercurrent flows separately along top and bottom surface states, and a field parallel to the nanowire threads flux through the loop. This produces a large superconducting diode effect with efficiency $\eta$ up to 0.3, whose sign and magnitude can be tuned by both the parallel field and the back-gate voltage. The authors model the device as two asymmetric skewed line junctions and show, by a three-dimensional tight-binding simulation, that the diode sign reversal pinned at half-integer flux quanta coincides with a topological phase transition in the nanowire, where Majorana zero modes should appear at its ends. A sympathetic reader would care because the result ties a practical, gate-tunable diode characteristic to a topological invariant, offering a compact platform for superconducting electronics and Majorana physics.

What carries the argument

The central object is the intrinsic nano-SQUID formed by the nanowire's top and bottom surface states, each side-contacted by Nb electrodes and acting as an SNS line junction. The current-phase relation for each junction is $I_r(\theta_r)=I_{0,r}[\sin\theta_r + d_r \sin 2\theta_r]$; the flux $\Phi$ imposes a phase difference $\theta_t-\theta_b=2\pi\Phi/\Phi_0$, while the back gate creates top-bottom asymmetry in $I_{0,r}$ or $d_r$. The work this does is to restore time-reversal symmetry at half-flux quanta, making $\eta$ odd around each $\Phi=n\Phi_0/2$, and to wind the phase of the weaker junction across a 0–$\pi$ transition at those points, which switches the topological parity of that junction. That is what links the diode sign reversal to Majorana emergence.

What would settle it

Perform tunnel-spectroscopy or phase-sensitive measurements on the nanowire ends at magnetic fields straddling $\Phi=\Phi_0/2$: if no zero-bias conductance peak or $4\pi$-periodic Andreev bound-state signature appears only in the predicted topological flux window, the claim that the diode sign change marks a topological phase transition would be disproven.

Watch

Extended reading notes

Core claim

On the paper's own terms, the central discovery is that the sign of the Josephson diode efficiency $\eta=(I_c^+-|I_c^-|)/(I_c^++|I_c^-|)$ in a side-contacted TI-nanowire junction reverses at half-integer flux quanta, and that this reversal is not incidental: the same time-reversal-symmetry restoration that pins the diode sign also drives one of the two line junctions through a 0–$\pi$ transition, placing the nanowire into the topological phase with Majorana zero-modes at its ends. The experimental $I_c(B_\parallel)$ oscillations, gate tunability, and sign changes are reproduced by a full three-dimensional tight-binding simulation and by a phenomenological two-junction nano-SQUID model with skewed current-phase relations. The authors therefore claim the observed diode effect marks the emergence of topological superconductivity in TI-nanowire-based Josephson junctions, and that the asymmetry between top and bottom surfaces selects which junction undergoes the topological transition when gate voltage is changed.

Load-bearing premise

The claim that the diode sign reversal marks a topological transition assumes the junction phase under current bias behaves like the equilibrium phase that minimizes the free energy; the paper itself notes this is not guaranteed.

Editorial extensions

If this is right

  • The diode efficiency $\eta$ reaches 0.3, comparable to the largest reported for single Josephson junctions without vortex trapping, in a compact geometry.
  • Both the parallel magnetic field and the back-gate voltage can switch the diode polarity, enabling bidirectional rectification in one simple device.
  • Time-reversal symmetry at half-flux quanta forces the diode efficiency to flip sign there, making the sign reversal a robust, parameter-independent signature of the nano-SQUID mechanism.
  • Gate-controlled top-bottom asymmetry selects which of the two junctions undergoes the 0–$\pi$ transition, so gating can turn the topological phase on and off.
  • Because the device is small and simple compared with other SQUID-geometry Josephson diodes, it could be integrated into large-scale superconducting circuits, though it still requires a magnetic field.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A testable corollary left implicit is that a local conductance probe at the nanowire ends should find a zero-bias conductance peak only in the flux window where the diode sign is the one assigned to the topological phase.
  • The same reasoning suggests other asymmetric SQUID devices that show sign-changing diode efficiency could be reexamined for topological signatures, not just treated as rectifiers.
  • Since the persistence of the topological phase under current bias is unsettled, a natural extension is bias-dependent spectroscopy to map how the phase transition shifts once the free-energy minimum is abandoned.
  • The two-harmonic model gives a theoretical maximum $|\eta|=1/3$, which the experiment approaches at large gate voltage; engineering interface transparency could test whether higher harmonics push the efficiency beyond this bound.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The manuscript reports a Josephson diode effect in a topological-insulator (BiSbTeSe2) nanowire side-contacted by Nb electrodes, with diode efficiency η reaching 0.3 at a parallel magnetic field, and with sign and magnitude tunable by both magnetic field and back-gate voltage. The device is modeled as an intrinsic nano-SQUID in which the top and bottom surfaces of the nanowire act as two parallel SNS junctions, with the parallel field threading the loop. Tight-binding simulations reproduce the critical-current oscillations and the sign-changing diode efficiency. The authors further claim that the sign change of η at half-integer flux quanta marks the emergence of topological superconductivity and Majorana zero modes.

Significance. The experimental finding of a large, gate-tunable Josephson diode in a simple planar nanowire geometry is of practical interest for superconducting electronics, and the nano-SQUID interpretation is appealing and consistent with the authors' earlier companion work (Ref. 24). The manuscript presents data from four devices, includes a vector-magnet alignment procedure, and provides data and code at a Zenodo repository, which strengthens reproducibility. However, the claimed connection to topological superconductivity is not directly established by the presented measurements: the observed sign reversal of η at half flux is a generic consequence of time-reversal symmetry for any asymmetric SQUID with a skewed current-phase relation, and the authors themselves concede that the topological phase is not guaranteed to persist under current biasing. The significance is therefore moderate unless the topological claim is either substantiated with direct evidence or substantially qualified.

major comments (3)
  1. [Section 3 (Discussion), final paragraph; Section 2.3 (equilibrium branch selection)] The topological argument requires the equilibrium free-energy-minimizing branch of the nano-SQUID, but the measured quantity is the current-biased critical current, and the simulation defines Ic+ = max I(φ) and Ic− = min I(φ) without any branch selection by energy minimization. The authors acknowledge this gap in the final Discussion: 'the persistence of the topological phase is not guaranteed upon current biasing.' This admission directly undermines the abstract's claim that the observed diode effect 'marks the emergence of topological superconductivity.' The paper does not provide phase-sensitive measurements, tunneling spectroscopy, or any other probe to test whether the system actually occupies the topological branch at the measured current bias. To support the central claim, the authors must either provide evidence that the current-biased critical current tracks the equilibrium branch or must substantially weaken the topological conclusion.
  2. [Section 2.3 (time-reversal symmetry argument) and Section 3 (Discussion)] The sign reversal of η at Φ = (n/2)Φ0 is attributed by the authors themselves to the restoration of time-reversal symmetry at those flux values. As they state, the symmetry imposes that η must be periodic and odd around each Φ = (n/2)Φ0. This is a generic property of any asymmetric SQUID with a skewed current-phase relation, independent of Majorana physics. Consequently, observing a sign reversal of η at half flux cannot by itself be interpreted as a fingerprint of a topological phase transition. The sentence in the abstract that the diode effect 'marks the emergence of topological superconductivity' is therefore not a logical consequence of the experimental data; it relies on an additional equilibrium calculation from Ref. 24 that is not tested here. The authors should explicitly separate the symmetry-dictated behavior of the diode from the topological transition and avoid presenting the former as evidence for the latter.
  3. [Figure 5B and Materials and Methods (Simulations)] The quantitative agreement between the tight-binding simulation and the experimental data in Fig. 5B is achieved by adjusting several parameters: the gate potential V_g is explicitly 'chosen because it produces the largest diode efficiency,' the asymmetry I0,t/I0,b = 0.8 is set to match the experimental amplitude, the effective flux area A~ is not independently determined from the device geometry, and the superconducting gap is scaled from the experimental 0.9 meV to 80 meV in the simulation. As a result, the comparison in Fig. 5B is partly a fit to the target data and does not constitute a strong falsification test of the nano-SQUID model. The symmetry-required sign change of η is robust, but the quantitative accuracy of the simulation is not an independent validation. The manuscript should be explicit that the simulation demonstrates a plausible mechanism rather than providing a parameter-free prediction.
minor comments (5)
  1. [Section 2.1 and Fig. 1B] The negative-bias I–V curve is plotted with both axes flipped, which makes the comparison visually convenient but can be confusing; a note in the caption that the negative-current branch is inverted only for display would help.
  2. [Section 2.3 (current conservation equation)] The equation It(θ0 + φ) = −Ib(θ0) is central to the equilibrium branch-selection argument but is unnumbered; numbering it (and the preceding definition of the gauge-invariant phase) would make the later discussion easier to follow.
  3. [Figure 5B caption and Methods] The caption states that the simulation corresponds to αt = −0.2, αb = −0.2, and I0,t/I0,b = 0.8 in the phenomenological model, but the mapping between the tight-binding parameters and these effective values is not described; a brief explanation would improve transparency.
  4. [Materials and Methods (Simulations)] The effective junction area A~ is introduced as the quantity that determines the flux Φ = B||A~, but the value used (or how it is obtained from the simulation geometry) is not stated; comparing it to the geometric nanowire cross-section would be informative.
  5. [Supplementary Figure S7] The supplementary figure shows the equilibrium phase bias and its discontinuity near half flux, which is the basis of the topological argument; referencing this figure explicitly in the main-text discussion (Section 2.3) would help the reader connect the diode sign change to the equilibrium transition.

Circularity Check

2 steps flagged · score 4.0 of 10

The topological conclusion leans on a companion-paper self-citation, and the simulation's diode magnitude is tuned via V_g, while the half-flux sign reversal itself is an independent symmetry consequence.

  1. self citation load bearing [Section 3 Discussion, first paragraph; the topological-phase interval is attributed to Ref. 24]
    "Since we have two SNS junctions, the TI-nanowire junction as a whole is in the topological phase when only one of the two SNS junctions is topological (24); in this case, Majorana zero-modes are expected to show up at the ends of the TI nanowire. It was theoretically shown in Ref. 24 that when the two junctions are asymmetric, this topological phase is realized in equilibrium in the magnetic-flux range of (n−1/2)Φ0 < Φ < (n+1/2)Φ0 with odd-integer n."

    The abstract-level assertion that the observed diode effect 'marks the emergence of topological superconductivity' depends on the proposition that an asymmetric two-junction nano-SQUID is topological over the half-flux interval. That proposition is not derived in the present paper; it is imported from Ref. 24, a companion arXiv preprint by overlapping authors. No machine-checked verification, independent code reproduction, or parameter-free external test of that specific nano-SQUID topological-phase result is presented, so the load-bearing topological premise rests on a self-citation chain rather than on evidence generated in this paper.

  2. fitted input called prediction [Materials and Methods, Simulations (final sentence), compared with Section 2.3's 'faithfully reproduces' claim; see also Fig. 5B caption]
    "The V_g value used for the simulation in Fig. 5B is chosen because it produces the largest diode efficiency."

    After this choice, Section 2.3 asserts 'The simulation faithfully reproduces the behavior of critical currents as well as the magnitude of the diode effect.' The magnitude agreement is not a parameter-free prediction: V_g sets the top/bottom asymmetry, which is the essential ingredient for the diode effect in the nano-SQUID model, and it is explicitly selected to maximize the diode efficiency in the same simulation whose magnitude is then presented as agreement. The sign change at half flux is a time-reversal-dictated consequence independent of this tuning, so the circularity is confined to the quantitative reproduction of η, but that quantitative match is partly by construction.

full rationale

The paper contains genuine independent content: the raw transport data are external, the periodic critical-current oscillations support the nano-SQUID picture, and the half-flux sign reversal of η is a model-independent consequence of time-reversal symmetry for any asymmetric SQUID. The central topological inference, however, is not circular in a definitional sense; it is an interpretive step that relies on Ref. 24 for the equilibrium topological-phase interval and on an equilibrium branch-selection argument. The authors themselves concede the key gap in the final Discussion: 'the phase is not a free parameter in the current-biased experiment and the persistence of the topological phase is not guaranteed upon current biasing.' Since the experiment measures current-biased critical currents (max/min of I(φ)) rather than the free-energy-minimizing phase branch, the sign reversal by itself does not prove the equilibrium topological transition. That is an evidential limitation rather than circularity. The quantitative simulation agreement is weakened because V_g is chosen to maximize the diode efficiency, but the sign-change structure and the microscopic calculation retain independent value. I therefore assign a moderate circularity score of 4: some self-citation is load-bearing and one quantitative comparison is partly fitted, but the central experimental observation and the half-flux symmetry constraint are not constructed from the conclusions.

Assumptions & free parameters 5 free parameters · 8 assumptions · 0 invented entities

The central claim rests on the nano-SQUID model (surface-only transport, skewed CPR) and the equilibrium phase-winding picture. Quantitative simulation agreement is obtained with parameters chosen to match the data (V_g, I0 ratio), limiting predictive power. The topological interpretation depends on the Fu-Kane SNS phase criterion and the companion paper's equilibrium analysis, which is not directly tested by the current-biased experiment.

free parameters (5)
  • Simulation gate potential V_g = 0.05 eV
    Chosen in Materials and Methods because it produces the largest diode efficiency in the simulation; the experimental gate voltage is not directly mapped to this parameter.
  • Phenomenological CPR asymmetry I_{0,t}/I_{0,b} = 0.8
    Used in Fig. 5B to reproduce the experimental critical-current ratio; not independently measured for this device.
  • CPR skewness alpha = -0.2
    Taken from a prior measurement of the current-phase relation in TI Josephson junctions (Ref. 25); treated as an input, but the quantitative model output depends on it.
  • Effective SQUID loop area A~ = inferred from Phi0 period
    The flux is Phi = B_|| A~; the area depends on surface-state localization and London penetration depth and is calibrated to the observed Phi0 periodicity.
  • Simulation superconducting gap Delta0 = 0.08 eV
    Set to 80 meV, much larger than the experimental Nb gap (~0.9 meV), to make the lattice simulation tractable; the mini-gap ratio is matched, but this is a model scale.
assumptions (8)
  • domain assumption The TI nanowire is in the bulk-insulating regime and supercurrent is carried only by the top and bottom surface states, forming two parallel SNS junctions.
    This is the nano-SQUID picture inherited from Ref. 24 and used throughout the modeling (Eq. 1 and the junction geometry in Fig. 1).
  • domain assumption The current-phase relation of each surface junction is I_S(theta) = I_0[sin(theta) + alpha sin(2theta)] with skewness alpha < 0 (Eq. 1).
    High-transparency SNS junctions are right-skewed (alpha<0), with |alpha| approximately 0.2 from Ref. 25; the diode effect requires |alpha| > 0.
  • domain assumption The magnetic flux threading the nano-SQUID is Phi = B_|| A~, with phase relation theta_t - theta_b = 2*pi*Phi/Phi0.
    The area A~ is set by surface-state penetration depth and London penetration depth; the Phi0 periodicity is observed experimentally.
  • standard math In equilibrium, the superconducting phase differences are set by current conservation plus free-energy minimization (I_t(theta0 + phi) = -I_b(theta0)).
    Standard Josephson-junction electrodynamics used to derive the phase winding and the 0-pi transition.
  • domain assumption A single SNS junction on a TI surface is in a topological phase for phase difference between pi and 3pi (mod 4pi), and the whole nano-SQUID is topological when exactly one of the two junctions is topological.
    Based on Fu-Kane (Ref. 36) and the authors' companion analysis (Ref. 24); this underlies the claim that sign reversal marks the topological transition.
  • ad hoc to paper The gate electrostatic potential is modeled as a linear gradient mu_TI(y) = mu_TI + V_g*y/W across the nanowire thickness.
    This is a modeling choice to introduce top-bottom asymmetry; no electrostatic simulation of the actual gate geometry is presented.
  • domain assumption Translational invariance along the nanowire axis (k_|| as a good quantum number) holds in the simulation.
    Justified by device length (1-5 micrometers) much larger than width/height (~10-20 nm), but real devices have finite length effects.
  • domain assumption The magnetic field fully penetrates the Nb electrodes in the simulation (Peierls substitution with full penetration).
    Stated as justified because Nb thickness (~45 nm) is comparable to London penetration depth; partial screening would change the effective area.

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Cite this review

Pith. "Pith review of Tunable superconducting diode effect in a topological nano-SQUID." pith.science (2026). https://pith.science/paper/KEXFD7LB

@misc{pith2026241216569,
  author       = {Pith},
  title        = {Pith review of: Tunable superconducting diode effect in a topological nano-SQUID},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/KEXFD7LB}},
  note         = {Machine review of arXiv:2412.16569}
}
abstract

A Josephson diode passes current with zero resistance in one direction but is resistive in the other direction. While such an effect has been observed in several platforms, a large and tunable Josephson diode effect has been rare. Here we report that a simple device consisting of a topological-insulator (TI) nanowire side-contacted by superconductors to form a lateral Josephson junction presents a large diode effect with the efficiency $\eta$ reaching 0.3 when a parallel magnetic field $B_{||}$ is applied. Interestingly, the sign and the magnitude of $\eta$ is tunable not only by $B_{||}$ but also by the back-gate voltage. This diode effect can be understood by modeling the system as a nano-SQUID, in which the top and bottom surfaces of the TI nanowire each form a line junction and $B_{||}$ creates a magnetic flux to thread the SQUID loop. This model further shows that the observed diode effect marks the emergence of topological superconductivity in TI-nanowire-based Josephson junction.

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Forward citations

Cited by 2 Pith papers

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  1. Edge dependent Josephson Diode effect in WTe$_{2}$-Based Josephson junction

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    Edge termination asymmetry in WTe2 nanoribbons produces a magnetic-flux-tunable Josephson diode effect, boosted above 50% efficiency by admixing bulk transport channels.

  2. Superconducting Diode Effect in Selectively-Grown Topological Insulator based Josephson Junctions

    cond-mat.mes-hall 2025-02 conditional novelty 6.0 of 10

    Measurements show a Josephson diode effect with up to 7% rectification in Nb/Bi0.8Sb1.2Te3/Nb junctions, attributed to ballistic topological surface states.

Reference graph

Works this paper leans on

38 extracted references · 36 canonical work pages · cited by 2 Pith papers

  1. [1]

    F. Ando, Y . Miyasaka, T. Li, J. Ishizuka, T. Arakawa, Y . Shiota, T. Moriyama, Y . Y anase, T. Ono, Observation of superconducting diode effect. Nature 584 (7821), 373–376 (2020)

    work page 2020

  2. [2]

    Nadeem, M

    M. Nadeem, M. S. Fuhrer, X. Wang, The superconducting diode effect. Nat. Rev. Phys. 5 (10), 558–577 (2023)

    work page 2023

  3. [3]

    N. E. Frattini, U. Vool, S. Shankar, A. Narla, K. M. Sliwa, M. H. Devoret, 3-wave mixing Josephson dipole element. Appl. Phys. Lett. 110 (22) (2017)

    work page 2017

  4. [4]

    Grimm, N

    A. Grimm, N. E. Frattini, S. Puri, S. O. Mundhada, S. Touzard, M. Mirrahimi, S. M. Girvin, S. Shankar, M. H. Devoret, Stabilization and operation of a Kerr-cat qubit.Nature 584, 205–209 (2020)

    work page 2020

  5. [5]

    A. E. Schegolev, N. V . Klenov, I. I. Soloviev, A. L. Gudkov, M. V . Tereshonok, Superconducting Neural Networks: from an Idea to Fundamentals and, Further, to Application. Nanobiotechnol- ogy Reports 16 (6), 811–820 (2022)

    work page 2022

  6. [6]

    H. Wu, Y . Wang, Y . Xu, P . K. Sivakumar, C. Pasco, U. Filippozzi, S. S. P . Parkin, Y .-J. Zeng, T. McQueen, M. N. Ali, The field-free Josephson diode in a van der Waals heterostructure. Nature 604 (7907), 653–656 (2022)

    work page 2022

  7. [7]

    D. Y . Vodolazov, F. M. Peeters, Superconducting rectifier based on the asymmetric surface barrier effect. Phys. Rev. B 72 (17), 172508 (2005)

    work page 2005

  8. [8]

    Van de Vondel, C

    J. Van de Vondel, C. de Souza Silva, B. Zhu, M. Morelle, V . Moshchalkov, Vortex-rectification effects in films with periodic asymmetric pinning. Phys. Rev. Lett. 94 (5), 057003 (2005)

    work page 2005

Show all 38 references
  1. [9]

    Golod, V

    T. Golod, V . M. Krasnov, Demonstration of a superconducting diode-with-memory, operational at zero magnetic field with switchable nonreciprocity. Nat. Commun. 13, 3658 (2022)

    2022

  2. [10]

    Y . Hou, F. Nichele, H. Chi, A. Lodesani, Y . Wu, M. F. Ritter, D. Z. Haxell, M. Davydova, S. Ilić, O. Glezakou-Elbert, A. Varambally, F. S. Bergeret, A. Kamra, L. Fu, P . A. Lee, J. S. Moodera, Ubiquitous Superconducting Diode Effect in Superconductor Thin Films. Phys. Rev. Le...

    2023

  3. [11]

    T. A. Fulton, L. N. Dunkleberger, R. C. Dynes, Quantum Interference Properties of Double Josephson Junctions. Phys. Rev. B 6, 855–875 (1972)

    1972

  4. [12]

    R. S. Souto, M. Leijnse, C. Schrade, Josephson Diode Effect in Supercurrent Interferometers. Phys. Rev. Lett. 129 (26), 267702 (2022)

    2022

  5. [13]

    Ciaccia, R

    C. Ciaccia, R. Haller, A. C. C. Drachmann, T. Lindemann, M. J. Manfra, C. Schrade, C. Schö- nenberger, Gate-tunable Josephson diode in proximitized InAs supercurrent interferometers. Phys. Rev. Res. 5, 033131 (2023)

    2023

  6. [14]

    B. Lu, S. Ikegaya, P . Burset, Y . Tanaka, N. Nagaosa, T unable Josephson diode effect on the surface of topological insulators. Phys. Rev. Lett. 131 (9), 096001 (2023)

    2023

  7. [15]

    J. J. He, Y . Tanaka, N. Nagaosa, A phenomenological theory of superconductor diodes. New J. Phys. 24 (5), 053014 (2022)

    2022

  8. [16]

    Baumgartner, L

    C. Baumgartner, L. Fuchs, A. Costa, S. Reinhardt, S. Gronin, G. C. Gardner, T. Lindemann, M. J. Manfra, P . E. Faria Junior, D. Kochan, J. Fabian, N. Paradiso, C. Strunk, Supercurrent rectification and magnetochiral effects in symmetric Josephson junctions. Nat. Nanotechnol. 17 ...

    2022

  9. [17]

    F. Q. Yuan Noah, L. Fu, Supercurrent diode effect and finite-momentum superconductors. Proc. Natl. Acad. Sci. USA 119 (15), e2119548119 (2022)

    2022

  10. [18]

    Davydova, S

    M. Davydova, S. Prembabu, L. Fu, Universal Josephson diode effect. Sci. Adv. 8 (23), eabo0309 (2022)

    2022

  11. [19]

    B. Pal, A. Chakraborty, P . K. Sivakumar, M. Davydova, A. K. Gopi, A. K. Pandeya, J. A. Krieger, Y . Zhang, M. Date, S. Ju, N. Yuan, N. B. M. Schröter, L. Fu, S. S. P . Parkin, Josephson diode effect from Cooper pair momentum in a topological semimetal. Nat. Phys. 18 (10), 1228...

    2022

  12. [20]

    Nakamura, A

    K. Nakamura, A. Daido, Y . Y anase, Orbital effect on the intrinsic superconducting diode effect. Phys. Rev. B 109 (9), 094501 (2024). 18

    2024

  13. [21]

    Banerjee, M

    A. Banerjee, M. Geier, M. A. Rahman, C. Thomas, T. Wang, M. J. Manfra, K. Flensberg, C. M. Marcus, Phase Asymmetry of Andreev Spectra from Cooper-Pair Momentum. Phys. Rev. Lett. 131 (19), 196301 (2023)

    2023

  14. [22]

    H. F. Legg, K. Laubscher, D. Loss, J. Klinovaja, Parity-protected superconducting diode effect in topological Josephson junctions. Phys. Rev. B 108, 214520 (2023)

    2023

  15. [23]

    Cayao, N

    J. Cayao, N. Nagaosa, Y . Tanaka, Enhancing the Josephson diode effect with Majorana bound states. Phys. Rev. B 109 (8), L081405 (2024)

    2024

  16. [24]

    Nikodem, J

    E. Nikodem, J. Schluck, H. F. Legg, M. Geier, M. Papaj, M. Bagchi, L. Fu, Y . Ando, Topological columnar nano-SQUID based on a 3D topological insulator. arXiv e-prints arXiv:2412.07993 (2024)

    2024 arXiv

  17. [25]

    Kayyalha, A

    M. Kayyalha, A. Kazakov, I. Miotkowski, S. Khlebnikov, L. P . Rokhinson, Y . P . Chen, Highly skewed current–phase relation in superconductor–topological insulator–superconductor Josephson junctions. npj Quantum Materials 5 (1), 7 (2020)

    2020

  18. [26]

    Tkachov, E

    G. Tkachov, E. M. Hankiewicz, Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions. Phys. Rev. B 88 (7), 075401 (2013)

    2013

  19. [27]

    Schluck, E

    J. Schluck, E. Nikodem, A. Montag, A. Ziesen, M. Bagchi, F. Hassler, Y . Ando, Ro- bust gap closing and reopening in topological-insulator Josephson junctions. arXiv e-prints arXiv:2406.08265 (2024)

    2024 arXiv

  20. [28]

    Assouline, C

    A. Assouline, C. Feuillet-Palma, N. Bergeal, T. Zhang, A. Mottaghizadeh, A. Zimmers, E. Lhuillier, M. Eddrie, P . Atkinson, M. Aprili, H. Aubin, Spin-Orbit induced phase-shift in Bi2Se3 Josephson junctions. Nat. Communun. 10 (1), 126 (2019)

    2019

  21. [29]

    N. F. Q. Yuan, L. Fu, Zeeman-induced gapless superconductivity with a partial Fermi surface. Phys. Rev. B 97, 115139 (2018)

    2018

  22. [30]

    Banerjee, M

    A. Banerjee, M. Geier, M. A. Rahman, D. S. Sanchez, C. Thomas, T. Wang, M. J. Manfra, K. Flensberg, C. M. Marcus, Control of Andreev Bound States Using Superconducting Phase Texture. Phys. Rev. Lett. 130, 116203 (2023). 19

    2023

  23. [31]

    Universal

    C. W. J. Beenakker, Three “Universal” Mesoscopic Josephson Effects, in Transport Phenomena in Mesoscopic Systems (Springer, Berlin, Germany), pp. 235–253 (1992)

    1992

  24. [32]

    A. A. Golubov, M. Yu. Kupriyanov, E. Il’ichev, The current-phase relation in Josephson junctions. Rev. Mod. Phys. 76 (2), 411–469 (2004)

    2004

  25. [33]

    H. F. Legg, D. Loss, J. Klinovaja, Majorana bound states in topological insulators without a vortex. Phys. Rev. B 104, 165405 (2021)

    2021

  26. [34]

    H. F. Legg, D. Loss, J. Klinovaja, Superconducting diode effect due to magnetochiral anisotropy in topological insulators and Rashba nanowires. Phys. Rev. B 106, 104501 (2022)

    2022

  27. [35]

    H. F. Legg, M. Rößler, F. Münning, D. Fan, O. Breunig, A. Bliesener, G. Lippertz, A. Uday, A. A. Taskin, D. Loss, J. Klinovaja, Y . Ando, Giant magnetochiral anisotropy from quantum- confined surface states of topological insulator nanowires. Nat. Nanotechnol. 17 (7), 696–700 (2022)

    2022

  28. [36]

    L. Fu, C. L. Kane, Superconducting Proximity Effect and Majorana Fermions at the Surface of a Topological Insulator. Phys. Rev. Lett. 100, 096407 (2008)

    2008

  29. [37]

    Z. Ren, A. A. Taskin, S. Sasaki, K. Segawa, Y . Ando, Optimizing Bi 2− ĮSbĮTe3− įSeį solid solutions to approach the intrinsic topological insulator regime. Phys. Rev. B 84, 165311 (2011)

    2011

  30. [38]

    Tunable superconducting diode effect in a topological nano-SQUID

    C. W. Groth, M. Wimmer, A. R. Akhmerov, X. Waintal, Kwant: a software package for quantum transport. New J. Phys. 16 (6), 063065 (2014). Funding: This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and inn...

    2014

Pith tools

Reviewed August 11, 2026 · model on record in the stance chip above.