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Chiral adiabatic transmission protected by Fermi surface topology

by Isidora Araya Day, Kostas Vilkelis, Antonio L. R. Manesco, A. Mert Bozkurt, Valla Fatemi, Anton R. Akhmerov

Submission summary

Authors (as registered SciPost users): Anton Akhmerov · Isidora Araya Day · A. Mert Bozkurt · Antonio Manesco · Kostas Vilkelis
Submission information
Preprint Link:  (pdf)
Code repository:
Date submitted: 2023-12-08 13:07
Submitted by: Araya Day, Isidora
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
Approaches: Theoretical, Computational


We demonstrate that Andreev modes that propagate along a transparent Josephson junction have a perfect transmission at the point where three junctions meet. The chirality and the number of quantized transmission channels is determined by the topology of the Fermi surface and the vorticity of the superconducting phase differences at the trijunction. We explain this chiral adiabatic transmission (CAT) as a consequence of the adiabatic evolution of the scattering modes both in momentum and real space. We identify an effective energy barrier that guarantees quantized transmission. We expect that CAT is observable in nonlocal conductance and thermal transport measurements. Furthermore, because it does not rely on particle-hole symmetry, CAT is also possible to observe directly in metamaterials.

Current status:
Awaiting resubmission

Reports on this Submission

Anonymous Report 2 on 2024-5-5 (Invited Report)


1. Prediction of an interesting phenomenon: the perfect chiral transmission of Andreev modes in a three-terminal Josephson junction due to the topology of the Fermi surface and adiabatic transmission.
2. Rigorous treatment together with an intuitive explanation of the results.
3. Generally well written.


1. The only weakness is that the readability of the figures and their captions could be improved.


The manuscript extends the work of Tam and Mele of Ref. 3 to the case of arbitrary superconducting phase differences. Furthermore, by considering a three-terminal Josephson junction geometry, it predicts perfect chiral transmission between the normal leads at finite energy. The phenomenon of Chiral Adiabatic Transmission (CAT) predicted in the manuscript is certainly of great interest to both the mesoscopic-transport and the superconductivity communities. The authors also discuss possible platforms for the experimental observation of CAT.

I am extremely confident that the results are valid.

The manuscript is in general well written. In particular, I found the introduction very informative and useful.

In conclusion, the manuscript easily meets the criteria for publication in SciPost Physics and I recommend publication.

My only minor suggestions regard the figures which could be made easier to read, as detailed in the list of suggested changes.

Requested changes

This is a list of suggested (not requested) changes which would make the figures (and hence the paper) more easily understandable.

1. In Fig.2 (a), show the coordinate system x - y and a picture elucidating the definition of the angle \theta.

2. In Fig. 3 in the inset, add the labels for the normal leads (1,2,3).

3. In the insets of the left panel of Fig 4. the probability densities are not readable. I would suggest either to remove them or to show them in a separate figure together with an outline of the geometry.

4. It took me some time to realise that in Figs 1-2 and 4-6, the results for states with energies outside the gap are depicted in a different colour (cyan). It would be really helpful to state this explicitly.


Publish (easily meets expectations and criteria for this Journal; among top 50%)

  • validity: top
  • significance: top
  • originality: high
  • clarity: good
  • formatting: excellent
  • grammar: excellent

Anonymous Report 1 on 2024-2-5 (Invited Report)


1- The paper is, technically, a non trivial generalization of Ref. [3].


1- Very difficult to follow; toot little elements are given to understand the results contained in the 6 figures.

2- It is not clear to me whether a trijunction gives more information on the topology of the Fermi surface with respect to the single junction of Ref. [3].


The paper addresses transport of Andreev states in a Josephson trijunction finding quantized transmission between normal leads. The authors relate this result to the topology of the Fermi surface. The paper is a generalization of Ref. [3], where a single Josephson junction was considered.
I find the paper not clearly written and very difficult to follow, although the results seem interesting. The paper does not meet the first three general acceptance criteria of SciPost Physics.

Requested changes

1- The concept of energy barrier is unclear. It is related to Eq. (5), but more details are needed. Fig. 3 is also unclear: are the energies of Eq. (5) plotted? What represent the barriers? Why only the area below the red curve?

2- In Fig. 4: why the second panel is different from the right panel in Fig. 1? Why also T_{1,1} and T_{2,1} are different from 0? I was expecting only T_{3,1} to be quantized.

3- In Fig. 5, what is the meaning of unprotected transmissions (dashed lines)? What are the gray dashed lines?

4- Fig. 6 refers to a single Josephson junction? What are exactly T_{ea} and T_{ha}?

5- Many captions do not contain enough information to read the figures. For example: grey lines in Fig. 1 (right) and Fig. 5; values of k_x for the critical points in Fig. 2(b); ...

  • validity: high
  • significance: high
  • originality: high
  • clarity: poor
  • formatting: acceptable
  • grammar: perfect

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