Phase dynamics in an AC-driven multiterminal Josephson junction analog

Amet, François; Idris, Sara; McConnell, Aeron; Opatosky, Brian; Arnault, Ethan

doi:10.1103/physrevb.106.174509

Phase dynamics in an AC-driven multiterminal Josephson junction analog

Journal Article · Mon Nov 14 00:00:00 EST 2022 · Physical Review. B

DOI:https://doi.org/10.1103/physrevb.106.174509· OSTI ID:2419647

^[1]; Idris, Sara ^[2]; ^[2]; ^[2]; Arnault, Ethan ^[3]

Appalachian State University, Boone, NC (United States); OSTI
Appalachian State University, Boone, NC (United States)
Appalachian State University, Boone, NC (United States); Duke Univ., Durham, NC (United States)

In the presence of an AC drive, multiterminal Josephson junctions exhibit the inverse AC Josephson effect, where the oscillations of the superconducting phase of each junction can lock onto one another or onto the external drive. The competition between these different phase-locked states results in a complex array of quantized voltage plateaus whose stability strongly depend on the circuit parameters of the shunted junctions. This phase diagram cannot be explored with low-temperature transport experiments alone, given the breadth of the parameter space, so we present an easily tunable analog circuit whose dynamical properties emulate those of a three-terminal junction. We focus on the observation of the multiterminal inverse AC Josephson effect, and we discuss how to identify Shapiro steps associated with each of the three junctions as well as their quartet states. We only observe integer phase-locked states in strongly overdamped networks, but fractional Shapiro steps appear as well when the quality factor of the junctions increases. Finally, we discuss the role of transverse coupling in the synchronization of the junctions.

View Accepted Manuscript (DOE)

Research Organization:: Duke Univ., Durham, NC (United States)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: SC0002765

OSTI ID:: 2419647

Alternate ID(s):: OSTI ID: 1898167

Journal Information:: Physical Review. B, Journal Name: Physical Review. B Journal Issue: 17 Vol. 106; ISSN 2469-9950; ISSN PRBMDO

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

References (31)

Zero Crossing Steps and Anomalous Shapiro Maps in Graphene Josephson Junctions Larson, Trevyn F. Q.; Zhao, Lingfei; Arnault, Ethan G. Nano Letters, Vol. 20, Issue 10 https://doi.org/10.1021/acs.nanolett.0c01598	journal	September 2020
Multiterminal Inverse AC Josephson Effect Arnault, Ethan G.; Larson, Trevyn F. Q.; Seredinski, Andrew Nano Letters, Vol. 21, Issue 22 https://doi.org/10.1021/acs.nanolett.1c03474	journal	November 2021
Dynamical Stabilization of Multiplet Supercurrents in Multiterminal Josephson Junctions Arnault, Ethan G.; Idris, Sara; McConnell, Aeron Nano Letters, Vol. 22, Issue 17 https://doi.org/10.1021/acs.nanolett.2c01999	journal	August 2022
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
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
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
Evidence for 4e charge of Cooper quartets in a biased multi-terminal graphene-based Josephson junction Huang, Ko-Fan; Ronen, Yuval; Mélin, Régis Nature Communications, Vol. 13, Issue 1 https://doi.org/10.1038/s41467-022-30732-7	journal	May 2022
Accurate Josephson junction analog Magerlein, J. H. Review of Scientific Instruments, Vol. 49, Issue 4 https://doi.org/10.1063/1.1135439	journal	April 1978
Current‐Voltage Characteristics of Josephson Junctions Stewart, W. C. Applied Physics Letters, Vol. 12, Issue 8 https://doi.org/10.1063/1.1651991	journal	April 1968
Effect of ac Impedance on dc Voltage‐Current Characteristics of Superconductor Weak‐Link Junctions McCumber, D. E. Journal of Applied Physics, Vol. 39, Issue 7 https://doi.org/10.1063/1.1656743	journal	June 1968
Analog Simulation of a Josephson Junction Hamilton, C. A. Review of Scientific Instruments, Vol. 43, Issue 3 https://doi.org/10.1063/1.1685657	journal	March 1972
Circuit for precision simulation of a capacitive Josephson junction Blackburn, James A. Journal of Applied Physics, Vol. 101, Issue 9 https://doi.org/10.1063/1.2727434	journal	May 2007
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
Noise, chaos, and the Josephson voltage standard Kautz, R. L. Reports on Progress in Physics, Vol. 59, Issue 8 https://doi.org/10.1088/0034-4885/59/8/001	journal	August 1996
Chaotic states and routes to chaos in the forced pendulum D'Humieres, D.; Beasley, M. R.; Huberman, B. A. Physical Review A, Vol. 26, Issue 6 https://doi.org/10.1103/PhysRevA.26.3483	journal	December 1982
Ubiquitous neutral stability of splay-phase states Nichols, Steve; Wiesenfeld, Kurt Physical Review A, Vol. 45, Issue 12 https://doi.org/10.1103/PhysRevA.45.8430	journal	June 1992
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
Berry phase in superconducting multiterminal quantum dots Douçot, Benoît; Danneau, Romain; Yang, Kang Physical Review B, Vol. 101, Issue 3 https://doi.org/10.1103/PhysRevB.101.035411	journal	January 2020
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
Phase locking and noise-driven dynamics in a Josephson-junction electronic analog McConnell, Aeron; Idris, Sara; Opatosky, Brian Physical Review B, Vol. 104, Issue 18 https://doi.org/10.1103/PhysRevB.104.184513	journal	November 2021
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
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
Weyl nodes in Andreev spectra of multiterminal Josephson junctions: Chern numbers, conductances, and supercurrents Xie, Hong-Yi; Vavilov, Maxim G.; Levchenko, Alex Physical Review B, Vol. 97, Issue 3 https://doi.org/10.1103/PhysRevB.97.035443	journal	January 2018
Splay states in globally coupled Josephson arrays: Analytical prediction of Floquet multipliers Strogatz, Steven H.; Mirollo, Renato E. Physical Review E, Vol. 47, Issue 1 https://doi.org/10.1103/PhysRevE.47.220	journal	January 1993
Josephson Currents in Superconducting Tunneling: The Effect of Microwaves and Other Observations Shapiro, Sidney Physical Review Letters, Vol. 11, Issue 2 https://doi.org/10.1103/PhysRevLett.11.80	journal	July 1963
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
Synchronization Transitions in a Disordered Josephson Series Array Wiesenfeld, Kurt; Colet, Pere; Strogatz, Steven H. Physical Review Letters, Vol. 76, Issue 3 https://doi.org/10.1103/PhysRevLett.76.404	journal	January 1996
Chimera States for Coupled Oscillators Abrams, Daniel M.; Strogatz, Steven H. Physical Review Letters, Vol. 93, Issue 17 https://doi.org/10.1103/PhysRevLett.93.174102	journal	October 2004
Weyl Josephson circuits Fatemi, Valla; Akhmerov, Anton R.; Bretheau, Landry Physical Review Research, Vol. 3, Issue 1 https://doi.org/10.1103/PhysRevResearch.3.013288	journal	March 2021
Multiterminal Josephson Effect Pankratova, Natalia; Lee, Hanho; Kuzmin, Roman Physical Review X, Vol. 10, Issue 3 https://doi.org/10.1103/PhysRevX.10.031051	journal	September 2020
Multiplet supercurrent in Josephson tunneling circuits Melo, André; Fatemi, Valla; Akhmerov, Anton SciPost Physics, Vol. 12, Issue 1 https://doi.org/10.21468/SciPostPhys.12.1.017	journal	January 2022

Similar Records

Multiterminal Inverse AC Josephson Effect

Journal Article · Sun Nov 14 19:00:00 EST 2021 · Nano Letters · OSTI ID:1846860

Phase-locking of driven vortex lattices with transverse ac force and periodic pinning

Journal Article · Mon Oct 01 00:00:00 EDT 2001 · Physical Review B · OSTI ID:40277657

Shapiro steps for skyrmion motion on a washboard potential with longitudinal and transverse ac drives

Journal Article · Sun Dec 27 19:00:00 EST 2015 · Physical Review. B, Condensed Matter and Materials Physics · OSTI ID:1457250

Related Subjects

36 MATERIALS SCIENCE
Analog computation
Direct numerical simulations
Dynamical systems
Josephson effect
Josephson junctions
Materials Science
Physics
Quantum transport

Phase dynamics in an AC-driven multiterminal Josephson junction analog

Citation Formats

References (31)

Similar Records

Related Subjects