Inducing superconducting correlation in quantum Hall edge states

Nature Physics

Volumn 13, Issue 7, 2017, Pages 693-698

  Lee, Gil Ho ^a   Huang, Ko Fan ^a   Efetov, Dmitri K ^b,c   Wei, Di S ^a   Hart, Sean ^a,e   Taniguchi, Takashi ^d   Watanabe, Kenji ^d   Yacoby, Amir ^a   Kim, Philip ^a  

^a HARVARD UNIVERSITY   (United States)

^b Department of Electrical Engineering and Computer Science   (United States)

^c BARCELONA INSTITUTE OF SCIENCE AND TECHNOLOGY   (Spain)

^d NATIONAL INSTITUTE FOR MATERIALS SCIENCE   (Japan)

^e STANFORD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRODES; QUANTUM HALL EFFECT; STEREOCHEMISTRY; SUPERCONDUCTING MATERIALS;

NANOMETRES; NOVEL ROUTE; QUANTUM HALL; QUASIPARTICLES; SIGN REVERSAL; SUPERCONDUCTING COHERENCE LENGTH; SUPERCONDUCTING CORRELATIONS; TWO-DIMENSIONAL SYSTEMS;

QUANTUM THEORY;

EID: 85016938858     PISSN: 17452473     EISSN: 17452481     Source Type: Journal    
DOI: 10.1038/nphys4084     Document Type: Article

References (39)

1. Rickhaus, P.,Weiss, M., Marot, L. & Schönenberger, C. Quantum Hall effect in graphene with superconducting electrodes. Nano Lett. 12, 1942-1945 (2012).
2. Wan, Z. et al. Induced superconductivity in high-mobility two-dimensional electron gas in gallium arsenide heterostructures. Nat. Commun. 6, 7426 (2015).
3. Amet, F. et al. Supercurrent in the quantum Hall regime. Science 352, 966-969 (2016).
4. Vaezi, A. Fractional topological superconductor with fractionalized Majorana fermions. Phys. Rev. B 87, 035132 (2013).
5. Vaezi, A. Superconducting analogue of the parafermion fractional quantum Hall states. Phys. Rev. X 4, 031009 (2014).
6. Takayanagi, H. & Kawakami, T. Superconducting proximity effect in the native inversion layer on InAs. Phys. Rev. Lett. 54, 2449-2452 (1985).
7. Heersche, H. B., Jarillo-Herrero, P., Oostinga, J. B., Vandersypen, L. M. K. & Morpurgo, A. F. Bipolar supercurrent in graphene. Nature 446, 56-59 (2007).
8. Jeong, D. et al. Observation of supercurrent in PbIn-graphene-PbIn Josephson junction. Phys. Rev. B 83, 094503 (2011).
9. Mizuno, N., Nielsen, B. & Du, X. Ballistic-like supercurrent in suspended graphene Josephson weak links. Nat. Commun. 4, 2716 (2013).
10. Lee, G.-H., Kim, S., Jhi, S.-H. & Lee, H.-J. Ultimately short ballistic vertical graphene Josephson junctions. Nat. Commun. 6, 6181 (2015).
11. Calado, V. E. et al. Ballistic Josephson junctions in edge-contacted graphene. Nat. Nanotech. 10, 761-764 (2015).
12. Ben Shalom, M. et al. Quantum oscillations of the critical current and high-field superconducting proximity in ballistic graphene. Nat. Phys. 12, 318-322 (2015).
13. Efetov, D. K. et al. Specular interband Andreev reflections at van derWaals interfaces between graphene and NbSe2. Nat. Phys. 12, 328-332 (2015).
14. Zhang, Y., Tan, Y.-W., Stormer, H. L. & Kim, P. Experimental observation of the quantum Hall effect and Berry's phase in graphene. Nature 438, 201-204 (2005).
15. Bolotin, K. I., Ghahari, F., Shulman, M. D., Stormer, H. L. & Kim, P. Observation of the fractional quantum Hall effect in graphene. Nature 462, 196-199 (2009).
16. Hoppe, H., Zülicke, U. & Schön, G. Andreev reflection in strong magnetic fields. Phys. Rev. Lett. 84, 1804-1807 (2000).
17. Chtchelkatchev, N. M. & Burmistrov, I. S. Conductance oscillations with magnetic field of a two-dimensional electron gas-superconductor junction. Phys. Rev. B 75, 214510 (2007).
18. Khaymovich, I. M., Chtchelkatchev, N. M., Shereshevskii, I. A. & Mel'nikov, A. S. Andreev transport in two-dimensional normal-superconducting systems in strong magnetic fields. Europhys. Lett. 91, 17005 (2010).
19. Clarke, D. J., Alicea, J. & Shtengel, K. Exotic circuit elements from zero-modes in hybrid superconductor-quantum-Hall systems. Nat. Phys. 10, 877-882 (2014).
20. Hou, Z., Xing, Y., Guo, A.-M. & Sun, Q.-F. Crossed Andreev effects in two-dimensional quantum Hall systems. Phys. Rev. B 94, 064516 (2016).
21. Qi, X.-L., Hughes, T. L. & Zhang, S.-C. Chiral topological superconductor from the quantum Hall state. Phys. Rev. B 82, 184516 (2010).
22. Lindner, N. H., Berg, E., Refael, G. & Stern, A. Fractionalizing Majorana fermions: non-Abelian statistics on the edges of Abelian quantum Hall states. Phys. Rev. X 2, 041002 (2012).
23. Clarke, D. J., Alicea, J. & Shtengel, K. Exotic non-Abelian anyons from conventional fractional quantum Hall states. Nat. Commun. 4, 1348 (2013).
24. Mong, R. S. K. et al. Universal topological quantum computation from a superconductor-Abelian quantum Hall heterostructure. Phys. Rev. X 4, 011036 (2014).
25. Alicea, J. & Fendley, P. Topological phases with parafermions: theory and blueprints. Annu. Rev. Condens. Matter Phys. 7, 119-139 (2016).
26. Wang, L. et al. One-dimensional electrical contact to a two-dimensional material. Science 342, 614-617 (2013).
27. Dynes, R. C., Narayanamurti, V. & Garno, J. P. Direct measurement of quasiparticle-lifetime broadening in a strong-coupled superconductor. Phys. Rev. Lett. 41, 1509-1512 (1978).
28. Naidyuk, Y. G., Häussler, R. & Löhneysen, H. v. Magnetic field dependence of the Andreev reflection structure in the conductivity of S-N point contacts. Physica B 218, 122-125 (1996).
29. Naidyuk, Y. G., Löhneysen, H. v. & Yanson, I. K. Temperature and magnetic-field dependence of the superconducting order parameter in Zn studied by point-contact spectroscopy. Phys. Rev. B 54, 16077-16081 (1996).
30. Eskildsen, M. R. et al. Vortex imaging in the-band of magnesium diboride. Phys. Rev. Lett. 89, 187003 (2002).
31. Bugoslavsky, Y. et al. Effect of magnetic field on the two superconducting gaps in MgB2. Phys. Rev. B 69, 132508 (2004).
32. Miyoshi, Y., Bugoslavsky, Y. & Cohen, L. F. Andreev reflection spectroscopy of niobium point contacts in a magnetic field. Phys. Rev. B 72, 012502 (2005).
33. Bandurin, D. A. et al. Negative local resistance caused by viscous electron backflow in graphene. Science 351, 1055-1058 (2016).
34. Chockalingam, S. P. et al. Tunneling studies in a homogeneously disordered s-wave superconductor: NbN. Phys. Rev. B 79, 094509 (2009).
35. Chockalingam, S. P., Chand, M., Jesudasan, J., Tripathi, V. & Raychaudhuri, P. Superconducting properties and Hall effect of epitaxial NbN thin films. Phys. Rev. B 77, 214503 (2008).
36. Mondal, M. et al. Enhancement of the finite-frequency superfluid response in the pseudogap regime of strongly disordered superconducting films. Sci. Rep. 3, 1357 (2013).
37. Wakamura, T., Hasegawa, N., Ohnishi, K., Niimi, Y. & Otani, Y. Spin injection into a superconductor with strong spin-orbit coupling. Phys. Rev. Lett. 112, 036602 (2014).
38. Nadj-Perge, S. et al. Observation of Majorana fermions in ferromagnetic atomic chains on a superconductor. Science 346, 602-607 (2014).
39. Lee, G.-H., Park, G.-H. & Lee, H.-J. Observation of negative refraction of Dirac fermions in graphene. Nat. Phys. 11, 925-929 (2015).