Evidence for 4e charge of Cooper quartets in a biased multi-terminal graphene-based Josephson junction

Huang, Ko-Fan; Ronen, Yuval; Mélin, Régis; Feinberg, Denis; Watanabe, Kenji; Taniguchi, Takashi; Kim, Philip

doi:10.1038/s41467-022-30732-7

Title: Evidence for 4e charge of Cooper quartets in a biased multi-terminal graphene-based Josephson junction

Journal Article · 30 May 2022 · Nature Communications

DOI: https://doi.org/10.1038/s41467-022-30732-7 · OSTI ID:1870529

Huang, Ko-Fan;

; Mélin, Régis; Feinberg, Denis;

;

Abstract In a Josephson junction (JJ) at zero bias, Cooper pairs are transported between two superconducting contacts via the Andreev bound states (ABSs) formed in the Josephson channel. Extending JJs to multiple superconducting contacts, the ABSs in the Josephson channel can coherently hybridize Cooper pairs among different superconducting electrodes. Biasing three-terminal JJs with antisymmetric voltages, for example, results in a direct current (DC) of Cooper quartet (CQ), which involves a four-fermion entanglement. Here, we report half a flux periodicity in the interference of CQ formed in graphene based multi-terminal (MT) JJs with a magnetic flux loop. We observe that the quartet differential conductance associated with supercurrent exhibits magneto-oscillations associated with a charge of 4 e , thereby presenting evidence for interference between different CQ processes. The CQ critical current shows non-monotonic bias dependent behavior, which can be modeled by transitions between Floquet-ABSs. Our experimental observation for voltage-tunable non-equilibrium CQ-ABS in flux-loop-JJs significantly extends our understanding of MT-JJs, enabling future design of topologically unique ABS spectrum.

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Research Organization:: Harvard Univ., Cambridge, MA (United States)

Sponsoring Organization:: Japan Science and Technology Agency (JST); Japan Society for the Promotion of Science (JSPS) (KAKENHI); Ministry of Education, Culture, Sports, Science and Technology, Japan (MEXT); National Science Foundation (NSF); USDOE; USDOE Office of Science (SC)

Grant/Contract Number:: SC0019300

OSTI ID:: 1870529

Journal Information:: Nature Communications, Journal Name: Nature Communications Journal Issue: 1 Vol. 13; ISSN 2041-1723

Publisher:: Nature Publishing GroupCopyright Statement

Country of Publication:: United Kingdom

Language:: English

References (43)

Physics and Applications of the Josephson Effect Barone, Antonio; Paternò, Gianfranco https://doi.org/10.1002/352760278X	book	July 1982
Electronic entanglement in the vicinity of a superconductor Lesovik, G. B.; Martin, T.; Blatter, G. The European Physical Journal B, Vol. 24, Issue 3 https://doi.org/10.1007/s10051-001-8675-4	journal	December 2001
Mutual phase-locking in Josephson junction arrays Jain, A. K.; Likharev, K. K.; Lukens, J. E. Physics Reports, Vol. 109, Issue 6 https://doi.org/10.1016/0370-1573(84)90002-4	journal	July 1984
Landau–Zener–Stückelberg interferometry Shevchenko, S. N.; Ashhab, S.; Nori, Franco Physics Reports, Vol. 492, Issue 1 https://doi.org/10.1016/j.physrep.2010.03.002	journal	July 2010
Supercurrent Flow in Multiterminal Graphene Josephson Junctions Draelos, Anne W.; Wei, Ming-Tso; Seredinski, Andrew Nano Letters, Vol. 19, Issue 2 https://doi.org/10.1021/acs.nanolett.8b04330	journal	January 2019
Nonlocal Josephson Effect in Andreev Molecules Pillet, J. -D.; Benzoni, V.; Griesmar, J. Nano Letters, Vol. 19, Issue 10 https://doi.org/10.1021/acs.nanolett.9b02686	journal	August 2019
Bipolar supercurrent in graphene Heersche, Hubert B.; Jarillo-Herrero, Pablo; Oostinga, Jeroen B. Nature, Vol. 446, Issue 7131 https://doi.org/10.1038/nature05555	journal	March 2007
Multi-terminal Josephson junctions as topological matter Riwar, Roman-Pascal; Houzet, Manuel; Meyer, Julia S. Nature Communications, Vol. 7, Issue 1 https://doi.org/10.1038/ncomms11167	journal	April 2016
Boron nitride substrates for high-quality graphene electronics Dean, C. R.; Young, A. F.; Meric, I. Nature Nanotechnology, Vol. 5, Issue 10, p. 722-726 https://doi.org/10.1038/nnano.2010.172	journal	August 2010
The ω-SQUIPT as a tool to phase-engineer Josephson topological materials Strambini, E.; D'Ambrosio, S.; Vischi, F. Nature Nanotechnology, Vol. 11, Issue 12 https://doi.org/10.1038/nnano.2016.157	journal	September 2016
Spatially resolved edge currents and guided-wave electronic states in graphene Allen, M. T.; Shtanko, O.; Fulga, I. C. Nature Physics, Vol. 12, Issue 2 https://doi.org/10.1038/nphys3534	journal	November 2015
Quantum oscillations of the critical current and high-field superconducting proximity in ballistic graphene Ben Shalom, M.; Zhu, M. J.; Fal’ko, V. I. Nature Physics, Vol. 12, Issue 4 https://doi.org/10.1038/nphys3592	journal	December 2015
Nonlocal supercurrent of quartets in a three-terminal Josephson junction Cohen, Yonatan; Ronen, Yuval; Kang, Jung-Hyun Proceedings of the National Academy of Sciences, Vol. 115, Issue 27 https://doi.org/10.1073/pnas.1800044115	journal	June 2018
Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time Shirley, Jon H. Physical Review, Vol. 138, Issue 4B https://doi.org/10.1103/PhysRev.138.B979	journal	May 1965
Steady States and Quasienergies of a Quantum-Mechanical System in an Oscillating Field Sambe, Hideo Physical Review A, Vol. 7, Issue 6 https://doi.org/10.1103/PhysRevA.7.2203	journal	June 1973
Engineering the Floquet spectrum of superconducting multiterminal quantum dots Mélin, Régis; Danneau, Romain; Yang, Kang Physical Review B, Vol. 100, Issue 3 https://doi.org/10.1103/PhysRevB.100.035450	journal	July 2019
Transport studies in a gate-tunable three-terminal Josephson junction Graziano, Gino V.; Lee, Joon Sue; Pendharkar, Mihir Physical Review B, Vol. 101, Issue 5 https://doi.org/10.1103/PhysRevB.101.054510	journal	February 2020
Inversion in a four-terminal superconducting device on the quartet line. I. Two-dimensional metal and the quartet beam splitter Mélin, Régis Physical Review B, Vol. 102, Issue 24 https://doi.org/10.1103/PhysRevB.102.245435	journal	December 2020
Inversion in a four-terminal superconducting device on the quartet line. II. Quantum dot and Floquet theory Mélin, Régis; Douçot, Benoît Physical Review B, Vol. 102, Issue 24 https://doi.org/10.1103/PhysRevB.102.245436	journal	December 2020
Multiterminal ballistic Josephson junctions coupled to normal leads Mélin, Régis Physical Review B, Vol. 105, Issue 15 https://doi.org/10.1103/PhysRevB.105.155418	journal	April 2022
Current-carrying states in Josephson junctions Furusaki, Akira; Tsukada, Masaru Physical Review B, Vol. 43, Issue 13 https://doi.org/10.1103/PhysRevB.43.10164	journal	May 1991
Andreev tunneling, Coulomb blockade, and resonant transport of nonlocal spin-entangled electrons Recher, Patrik; Sukhorukov, Eugene V.; Loss, Daniel Physical Review B, Vol. 63, Issue 16 https://doi.org/10.1103/PhysRevB.63.165314	journal	April 2001
Voltage-induced Shapiro steps in a superconducting multiterminal structure Cuevas, J. C.; Pothier, H. Physical Review B, Vol. 75, Issue 17 https://doi.org/10.1103/PhysRevB.75.174513	journal	May 2007
Supercurrent and Andreev bound state dynamics in superconducting quantum point contacts under microwave irradiation Bergeret, F. S.; Virtanen, P.; Ozaeta, A. Physical Review B, Vol. 84, Issue 5 https://doi.org/10.1103/PhysRevB.84.054504	journal	August 2011
Multipair dc Josephson resonances in a biased all-superconducting bijunction Jonckheere, T.; Rech, J.; Martin, T. Physical Review B, Vol. 87, Issue 21 https://doi.org/10.1103/PhysRevB.87.214501	journal	June 2013
Subgap structure in the conductance of a three-terminal Josephson junction Pfeffer, A. H.; Duvauchelle, J. E.; Courtois, H. Physical Review B, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevB.90.075401	journal	August 2014
Proposal for the observation of nonlocal multipair production Rech, J.; Jonckheere, T.; Martin, T. Physical Review B, Vol. 90, Issue 7 https://doi.org/10.1103/PhysRevB.90.075419	journal	August 2014
Singularities in the Andreev spectrum of a multiterminal Josephson junction Yokoyama, Tomohiro; Nazarov, Yuli V. Physical Review B, Vol. 92, Issue 15 https://doi.org/10.1103/PhysRevB.92.155437	journal	October 2015
Coherent transport properties of a three-terminal hybrid superconducting interferometer Vischi, F.; Carrega, M.; Strambini, E. Physical Review B, Vol. 95, Issue 5 https://doi.org/10.1103/PhysRevB.95.054504	journal	February 2017
Topological transconductance quantization in a four-terminal Josephson junction Eriksson, Erik; Riwar, Roman-Pascal; Houzet, Manuel Physical Review B, Vol. 95, Issue 7 https://doi.org/10.1103/PhysRevB.95.075417	journal	February 2017
Simple Floquet-Wannier-Stark-Andreev viewpoint and emergence of low-energy scales in a voltage-biased three-terminal Josephson junction Mélin, Régis; Caputo, Jean-Guy; Yang, Kang Physical Review B, Vol. 95, Issue 8 https://doi.org/10.1103/PhysRevB.95.085415	journal	February 2017
Topological Andreev bands in three-terminal Josephson junctions Xie, Hong-Yi; Vavilov, Maxim G.; Levchenko, Alex Physical Review B, Vol. 96, Issue 16 https://doi.org/10.1103/PhysRevB.96.161406	journal	October 2017
Supercurrent carried by nonequilibrium quasiparticles in a multiterminal Josephson junction Nowak, M. P.; Wimmer, M.; Akhmerov, A. R. Physical Review B, Vol. 99, Issue 7 https://doi.org/10.1103/PhysRevB.99.075416	journal	February 2019
Production of Nonlocal Quartets and Phase-Sensitive Entanglement in a Superconducting Beam Splitter Freyn, Axel; Douçot, Benoit; Feinberg, Denis Physical Review Letters, Vol. 106, Issue 25 https://doi.org/10.1103/PhysRevLett.106.257005	journal	June 2011
Ballistic Graphene Josephson Junctions from the Short to the Long Junction Regimes Borzenets, I. V.; Amet, F.; Ke, C. T. Physical Review Letters, Vol. 117, Issue 23 https://doi.org/10.1103/PhysRevLett.117.237002	journal	December 2016
Nontrivial Chern Numbers in Three-Terminal Josephson Junctions Meyer, Julia S.; Houzet, Manuel Physical Review Letters, Vol. 119, Issue 13 https://doi.org/10.1103/PhysRevLett.119.136807	journal	September 2017
Josephson current through a superconducting quantum point contact shorter than the coherence length Beenakker, C. W. J.; van Houten, H. Physical Review Letters, Vol. 66, Issue 23 https://doi.org/10.1103/PhysRevLett.66.3056	journal	June 1991
Subharmonic Shapiro Steps and Assisted Tunneling in Superconducting Point Contacts Cuevas, J. C.; Heurich, J.; Martín-Rodero, A. Physical Review Letters, Vol. 88, Issue 15 https://doi.org/10.1103/PhysRevLett.88.157001	journal	March 2002
Superconducting Atomic Contacts under Microwave Irradiation Chauvin, M.; vom Stein, P.; Pothier, H. Physical Review Letters, Vol. 97, Issue 6 https://doi.org/10.1103/PhysRevLett.97.067006	journal	August 2006
One-Dimensional Electrical Contact to a Two-Dimensional Material Wang, L.; Meric, I.; Huang, P. Y. Science, Vol. 342, Issue 6158 https://doi.org/10.1126/science.1244358	journal	October 2013
Quartets and the current-phase structure of a double quantum dot superconducting bijunction at equilibrium Feinberg, Denis; Jonckheere, Thibaut; Rech, Jérôme The European Physical Journal B, Vol. 88, Issue 4 https://doi.org/10.1140/epjb/e2015-50849-3	journal	April 2015
Correlated tunneling into a superconductor in a multiprobe hybrid structure Falci, G.; Feinberg, D.; Hekking, F. W. J. Europhysics Letters (EPL), Vol. 54, Issue 2 https://doi.org/10.1209/epl/i2001-00303-0	journal	April 2001
Selective Control of Conductance Modes in Multi-terminal Josephson Junctions Graziano, Gino V.; Gupta, Mohit; Pendharkar, Mihir arXiv https://doi.org/10.48550/arXiv.2201.01373	preprint	January 2022

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Title: Evidence for 4e charge of Cooper quartets in a biased multi-terminal graphene-based Josephson junction

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