Tunable Superconducting Josephson Dielectric Metamaterial

Trepanier, Melissa; Zhang, Daimeng; Filippenko, L. V.; Koshelets, V. P.; Anlage, Steven

doi:10.1063/1.5126963

Title: Tunable Superconducting Josephson Dielectric Metamaterial

Abstract

We demonstrate a low-dissipation dielectric metamaterial with tunable properties based on the Josephson effect. Superconducting wires loaded with regularly spaced Josephson junctions (critical current $$I_c \approx 0.25$$ $$\mu$$A) spanning a K-band waveguide and aligned with the microwave electric fields create a superconducting dielectric metamaterial. Applied dc current tunes the cutoff frequency and effective permittivity of this unique electric metamaterial. The results are in agreement with an analytical model for microwave transmission through the artificial dielectric medium.

Authors:

Trepanier, Melissa ^[1]; Zhang, Daimeng ^[1]; Filippenko, L. V. ^[2]; Koshelets, V. P. ^[2];

^[1]

Univ. of Maryland, College Park, MD (United States)
Kotelnikov Institute of Radio Engineering and Electronics, Moscow (Russia)

Publication Date:: Fri Oct 18 00:00:00 EDT 2019

Research Org.:: Univ. of Maryland, College Park, MD (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division; USDOE

OSTI Identifier:: 1570828

Alternate Identifier(s):: OSTI ID: 1572134

Grant/Contract Number:: SC0018788; DESC0018788

Resource Type:: Accepted Manuscript

Journal Name:: AIP Advances

Additional Journal Information:: Journal Volume: 9; Journal Issue: 10; Journal ID: ISSN 2158-3226

Publisher:: American Institute of Physics (AIP)

Country of Publication:: United States

Language:: English

Subject:: 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Superconducting Metamaterials; Josephson Junction; Dielectric Metamaterial; Tunable Metamaterial

Citation Formats


                    Trepanier, Melissa, Zhang, Daimeng, Filippenko, L. V., Koshelets, V. P., and Anlage, Steven. Tunable Superconducting Josephson Dielectric Metamaterial.  United States: N. p., 2019. 
Web.  doi:10.1063/1.5126963.

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                    Trepanier, Melissa, Zhang, Daimeng, Filippenko, L. V., Koshelets, V. P., & Anlage, Steven. Tunable Superconducting Josephson Dielectric Metamaterial.  United States.  https://doi.org/10.1063/1.5126963

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                    Trepanier, Melissa, Zhang, Daimeng, Filippenko, L. V., Koshelets, V. P., and Anlage, Steven. Fri .  
"Tunable Superconducting Josephson Dielectric Metamaterial".  United States.  https://doi.org/10.1063/1.5126963.  https://www.osti.gov/servlets/purl/1570828.

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@article{osti_1570828,

  title        = {Tunable Superconducting Josephson Dielectric Metamaterial},

  author       = {Trepanier, Melissa and Zhang, Daimeng and Filippenko, L. V. and Koshelets, V. P. and Anlage, Steven},

  abstractNote = {We demonstrate a low-dissipation dielectric metamaterial with tunable properties based on the Josephson effect. Superconducting wires loaded with regularly spaced Josephson junctions (critical current $I_c \approx 0.25$ $\mu$A) spanning a K-band waveguide and aligned with the microwave electric fields create a superconducting dielectric metamaterial. Applied dc current tunes the cutoff frequency and effective permittivity of this unique electric metamaterial. The results are in agreement with an analytical model for microwave transmission through the artificial dielectric medium.},

  doi          = {10.1063/1.5126963},

  journal      = {AIP Advances},

  number       = 10,

  volume       = 9,

  place        = {United States},

  year         = {Fri Oct 18 00:00:00 EDT 2019},

  month        = {Fri Oct 18 00:00:00 EDT 2019}

}

Copy to clipboard

Journal Article:

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https://doi.org/10.1063/1.5126963

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Cited by: 4 works

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Figures / Tables:

FIG. 1: Micrograph of Josephson junction loaded Nb wire arrays on Si substrate. The wires are 10µm wide and the junctions punctuate the wires every 70µm. A set of 4 wire arrays are spaced 1 mm apart on the chip. Right inset shows detail of two JJs and connecting wiremore »

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Works referenced in this record:

Comment on “Extremely Low Frequency Plasmons in Metallic Mesostructures”
journal, August 2001

Walser, Rodger M.; Valanju, Alaka P.; Valanju, Prashant M.
Physical Review Letters, Vol. 87, Issue 11
DOI: 10.1103/physrevlett.87.119701

Superconducting metamaterials
journal, August 2018

Lazarides, N.; Tsironis, G. P.
Physics Reports, Vol. 752
DOI: 10.1016/j.physrep.2018.06.005

Negative and near zero refraction metamaterials based on permanent magnetic ferrites
journal, February 2014

Bi, Ke; Guo, Yunsheng; Zhou, Ji
Scientific Reports, Vol. 4, Issue 1
DOI: 10.1038/srep04139

Mutual phase-locking in Josephson junction arrays
journal, July 1984

Jain, A. K.; Likharev, K. K.; Lukens, J. E.
Physics Reports, Vol. 109, Issue 6
DOI: 10.1016/0370-1573(84)90002-4

A current controlled variable delay superconducting transmission line
journal, March 1989

Anlage, S. M.; Snortland, H. J.; Beasley, M. R.
IEEE Transactions on Magnetics, Vol. 25, Issue 2
DOI: 10.1109/20.92554

Mutual phase-locking in Josephson junction arrays
journal, July 1984

Jain, A. K.; Likharev, K. K.; Lukens, J. E.
Physics Reports, Vol. 109, Issue 6
DOI: 10.1016/0370-1573(84)90002-4

Coherent Oscillations of Driven rf SQUID Metamaterials
text, January 2017

Trepanier, Melissa; Zhang, Daimeng; Mukhanov, Oleg
arXiv
DOI: 10.48550/arxiv.1702.07727

Survey of chaos in the rf‐biased Josephson junction
journal, February 1985

Kautz, R. L.; Monaco, R.
Journal of Applied Physics, Vol. 57, Issue 3
DOI: 10.1063/1.334687

Tunable Broadband Transparency of Macroscopic Quantum Superconducting Metamaterials
text, January 2015

Zhang, Daimeng; Trepanier, Melissa; Mukhanov, Oleg
Digital Repository at the University of Maryland
DOI: 10.13016/m26688j8z

Stimulated Emission and Amplification in Josephson Junction Arrays
journal, March 1999

Barbara, P.; Cawthorne, A. B.; Shitov, S. V.
Physical Review Letters, Vol. 82, Issue 9
DOI: 10.1103/physrevlett.82.1963

Negative self-inductance in superconducting thin wires and weak links
journal, April 1971

Christiansen, P. V.; Hansen, E. B.; Sj�str�m, C. J.
Journal of Low Temperature Physics, Vol. 4, Issue 4
DOI: 10.1007/bf00628738

Superradiance in arrays of superconducting weak links
journal, November 1970

Tilley, D. R.
Physics Letters A, Vol. 33, Issue 4
DOI: 10.1016/0375-9601(70)90735-8

Comment on "Extremely Low Frequency Plasmons in Metallic Mesostructures"
text, January 2001

Valanju, Alaka P.; Valanju, Prashant M.; Walser, Rodger M.
The American Physical Society
DOI: 10.17877/de290r-3946

Extreme subwavelength electric GHz metamaterials
journal, September 2011

Kolb, P. W.; Salter, T. S.; McGee, J. A.
Journal of Applied Physics, Vol. 110, Issue 5
DOI: 10.1063/1.3633213

Wire Metamaterials: Physics and Applications
journal, July 2012

Simovski, Constantin R.; Belov, Pavel A.; Atrashchenko, Alexander V.
Advanced Materials, Vol. 24, Issue 31
DOI: 10.1002/adma.201200931

Low-loss tunable metamaterials using superconducting circuits with Josephson junctions
journal, February 2013

Jung, P.; Butz, S.; Shitov, S. V.
Applied Physics Letters, Vol. 102, Issue 6
DOI: 10.1063/1.4792705

Realization and Modeling of Metamaterials Made of rf Superconducting Quantum-Interference Devices
text, January 2013

Trepanier, M.; Zhang, Daimeng; Mukhanov, Oleg
Digital Repository at the University of Maryland
DOI: 10.13016/m2gs32

Superconductivity and macroscopic quantum phenomena
journal, June 1976

Rogovin, D.; Scully, M.
Physics Reports, Vol. 25, Issue 3
DOI: 10.1016/0370-1573(76)90011-9

High quality Nb-based tunnel junctions for high frequency and digital applications
journal, June 2003

Dmitriev, P. N.; Lapitskaya, I. L.; Filippenko, L. V.
IEEE Transactions on Appiled Superconductivity, Vol. 13, Issue 2
DOI: 10.1109/tasc.2003.813657

Loop-wire medium for investigating plasmons at microwave frequencies
journal, September 1999

Smith, D. R.; Vier, D. C.; Padilla, Willie
Applied Physics Letters, Vol. 75, Issue 10
DOI: 10.1063/1.124714

Progress in superconducting metamaterials
journal, May 2014

Jung, Philipp; Ustinov, Alexey V.; Anlage, Steven M.
Superconductor Science and Technology, Vol. 27, Issue 7
DOI: 10.1088/0953-2048/27/7/073001

A current controlled variable delay superconducting transmission line
journal, March 1989

Anlage, S. M.; Snortland, H. J.; Beasley, M. R.
IEEE Transactions on Magnetics, Vol. 25, Issue 2
DOI: 10.1109/20.92554

Superconducting metamaterials
journal, July 2005

Ricci, Michael; Orloff, Nathan; Anlage, Steven M.
Applied Physics Letters, Vol. 87, Issue 3
DOI: 10.1063/1.1996844

Imaging collective behavior in an rf-SQUID metamaterial tuned by DC and RF magnetic fields
text, January 2018

Zhuravel, Alexander P.; Bae, Seokjin; Lukashenko, Alexander V.
arXiv
DOI: 10.48550/arxiv.1811.11261

Plasmonic scaling of superconducting metamaterials
journal, November 2013

Kurter, C.; Abrahams, J.; Shvets, G.
Physical Review B, Vol. 88, Issue 18
DOI: 10.1103/physrevb.88.180510

Optical Hyperlens: Far-field imaging beyond the diffraction limit
text, January 2006

Jacob, Zubin; Alekseyev, Leonid V.; Narimanov, Evgenii
arXiv
DOI: 10.48550/arxiv.physics/0607277

Operation of NIST Josephson array voltage standards
journal, May 1990

Hamilton, C. A.; Burroughs, C.; Chieh, K.
Journal of Research of the National Institute of Standards and Technology, Vol. 95, Issue 3
DOI: 10.6028/jres.095.026

Invariant submanifold for series arrays of Josephson junctions
text, January 2008

Marvel, Seth A.; Strogatz, Steven H.
arXiv
DOI: 10.48550/arxiv.0812.4481

Measurements of the Kinetic Inductance of Superconducting Linear Structures
journal, April 1969

Meservey, R.; Tedrow, P. M.
Journal of Applied Physics, Vol. 40, Issue 5
DOI: 10.1063/1.1657905

Imaging collective behavior in an rf-SQUID metamaterial tuned by DC and RF magnetic fields
journal, February 2019

Zhuravel, Alexander P.; Bae, Seokjin; Lukashenko, Alexander V.
Applied Physics Letters, Vol. 114, Issue 8
DOI: 10.1063/1.5064658

Intermodulation in Nonlinear SQUID Metamaterials: Experiment and Theory
text, January 2016

Zhang, Daimeng; Trepanier, Melissa; Antonsen, Thomas
arXiv
DOI: 10.48550/arxiv.1606.09234

Progress in Superconducting Metamaterials
text, January 2014

Jung, Philipp; Ustinov, Alexey V.; Anlage, Steven M.
arXiv
DOI: 10.48550/arxiv.1403.6514

Coherent emission from two‐dimensional Josephson junction arrays
journal, May 1991

Benz, S. P.; Burroughs, C. J.
Applied Physics Letters, Vol. 58, Issue 19
DOI: 10.1063/1.104993

Experimental Verification of a Negative Index of Refraction
journal, April 2001

Shelby, R. A.; Smith, D. R.; Schultz, S.
Science, Vol. 292, Issue 5514, p. 77-79
DOI: 10.1126/science.1058847

The physics and applications of superconducting metamaterials
journal, November 2010

Anlage, Steven M.
Journal of Optics, Vol. 13, Issue 2
DOI: 10.1088/2040-8978/13/2/024001

Optical hyperlens: far-field imaging beyond the diffraction limit
conference, September 2007

Jacob, Zubin; Alekseyev, Leonid; Narimanov, Evgenii
NanoScience + Engineering, SPIE Proceedings
DOI: 10.1117/12.736318

Progress in superconducting metamaterials
journal, May 2014

Jung, Philipp; Ustinov, Alexey V.; Anlage, Steven M.
Superconductor Science and Technology, Vol. 27, Issue 7
DOI: 10.1088/0953-2048/27/7/073001

Foundations of Applied Superconductivity
journal, June 1991

Orlando, Terry P.; Delin, Kevin A.; Lobb, Christopher J.
Physics Today, Vol. 44, Issue 6
DOI: 10.1063/1.2810145

A one-dimensional tunable magnetic metamaterial
text, January 2013

Butz, Susanne; Jung, Philipp; Filippenko, L. V.
Karlsruhe
DOI: 10.5445/ir/1000038695

Invariant submanifold for series arrays of Josephson junctions
journal, March 2009

Marvel, Seth A.; Strogatz, Steven H.
Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 19, Issue 1
DOI: 10.1063/1.3087132

Metamaterial Electromagnetic Cloak at Microwave Frequencies
journal, November 2006

Schurig, D.; Mock, J. J.; Justice, B. J.
Science, Vol. 314, Issue 5801
DOI: 10.1126/science.1133628

Multistability and switching in a superconducting metamaterial
journal, April 2014

Jung, P.; Butz, S.; Marthaler, M.
Nature Communications, Vol. 5, Issue 1
DOI: 10.1038/ncomms4730

Superconducting Metamaterials
text, January 2005

Ricci, Michael; Orloff, Nathan; Anlage, Steven M.
arXiv
DOI: 10.48550/arxiv.cond-mat/0503025

Two-tone spectroscopy of a SQUID metamaterial in the nonlinear regime
journal, November 2019

Kiselev, E. I.; Averkin, A. S.; Fistul, M. V.
Physical Review Research, Vol. 1, Issue 3
DOI: 10.1103/PhysRevResearch.1.033096

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Title: Tunable Superconducting Josephson Dielectric Metamaterial

Abstract

Citation Formats

Figures / Tables:

Comment on “Extremely Low Frequency Plasmons in Metallic Mesostructures” journal, August 2001

Superconducting metamaterials journal, August 2018

Negative and near zero refraction metamaterials based on permanent magnetic ferrites journal, February 2014

Mutual phase-locking in Josephson junction arrays journal, July 1984

A current controlled variable delay superconducting transmission line journal, March 1989

Mutual phase-locking in Josephson junction arrays journal, July 1984

Coherent Oscillations of Driven rf SQUID Metamaterials text, January 2017

Survey of chaos in the rf‐biased Josephson junction journal, February 1985

Tunable Broadband Transparency of Macroscopic Quantum Superconducting Metamaterials text, January 2015

Stimulated Emission and Amplification in Josephson Junction Arrays journal, March 1999

Negative self-inductance in superconducting thin wires and weak links journal, April 1971

Superradiance in arrays of superconducting weak links journal, November 1970

Comment on "Extremely Low Frequency Plasmons in Metallic Mesostructures" text, January 2001

Extreme subwavelength electric GHz metamaterials journal, September 2011

Wire Metamaterials: Physics and Applications journal, July 2012

Low-loss tunable metamaterials using superconducting circuits with Josephson junctions journal, February 2013

Realization and Modeling of Metamaterials Made of rf Superconducting Quantum-Interference Devices text, January 2013

Superconductivity and macroscopic quantum phenomena journal, June 1976

High quality Nb-based tunnel junctions for high frequency and digital applications journal, June 2003

Loop-wire medium for investigating plasmons at microwave frequencies journal, September 1999

Progress in superconducting metamaterials journal, May 2014

A current controlled variable delay superconducting transmission line journal, March 1989

Superconducting metamaterials journal, July 2005

Imaging collective behavior in an rf-SQUID metamaterial tuned by DC and RF magnetic fields text, January 2018

Plasmonic scaling of superconducting metamaterials journal, November 2013

Optical Hyperlens: Far-field imaging beyond the diffraction limit text, January 2006

Operation of NIST Josephson array voltage standards journal, May 1990

Invariant submanifold for series arrays of Josephson junctions text, January 2008

Measurements of the Kinetic Inductance of Superconducting Linear Structures journal, April 1969

Imaging collective behavior in an rf-SQUID metamaterial tuned by DC and RF magnetic fields journal, February 2019

Intermodulation in Nonlinear SQUID Metamaterials: Experiment and Theory text, January 2016

Progress in Superconducting Metamaterials text, January 2014

Coherent emission from two‐dimensional Josephson junction arrays journal, May 1991

Experimental Verification of a Negative Index of Refraction journal, April 2001

The physics and applications of superconducting metamaterials journal, November 2010

Optical hyperlens: far-field imaging beyond the diffraction limit conference, September 2007

Progress in superconducting metamaterials journal, May 2014

Foundations of Applied Superconductivity journal, June 1991

A one-dimensional tunable magnetic metamaterial text, January 2013

Invariant submanifold for series arrays of Josephson junctions journal, March 2009

Metamaterial Electromagnetic Cloak at Microwave Frequencies journal, November 2006

Multistability and switching in a superconducting metamaterial journal, April 2014

Superconducting Metamaterials text, January 2005

Two-tone spectroscopy of a SQUID metamaterial in the nonlinear regime journal, November 2019

Comment on “Extremely Low Frequency Plasmons in Metallic Mesostructures”
journal, August 2001

Superconducting metamaterials
journal, August 2018

Negative and near zero refraction metamaterials based on permanent magnetic ferrites
journal, February 2014

Mutual phase-locking in Josephson junction arrays
journal, July 1984

A current controlled variable delay superconducting transmission line
journal, March 1989

Mutual phase-locking in Josephson junction arrays
journal, July 1984

Coherent Oscillations of Driven rf SQUID Metamaterials
text, January 2017

Survey of chaos in the rf‐biased Josephson junction
journal, February 1985

Tunable Broadband Transparency of Macroscopic Quantum Superconducting Metamaterials
text, January 2015

Stimulated Emission and Amplification in Josephson Junction Arrays
journal, March 1999

Negative self-inductance in superconducting thin wires and weak links
journal, April 1971

Superradiance in arrays of superconducting weak links
journal, November 1970

Comment on "Extremely Low Frequency Plasmons in Metallic Mesostructures"
text, January 2001

Extreme subwavelength electric GHz metamaterials
journal, September 2011

Wire Metamaterials: Physics and Applications
journal, July 2012

Low-loss tunable metamaterials using superconducting circuits with Josephson junctions
journal, February 2013

Realization and Modeling of Metamaterials Made of rf Superconducting Quantum-Interference Devices
text, January 2013

Superconductivity and macroscopic quantum phenomena
journal, June 1976

High quality Nb-based tunnel junctions for high frequency and digital applications
journal, June 2003

Loop-wire medium for investigating plasmons at microwave frequencies
journal, September 1999

Progress in superconducting metamaterials
journal, May 2014

A current controlled variable delay superconducting transmission line
journal, March 1989

Superconducting metamaterials
journal, July 2005

Imaging collective behavior in an rf-SQUID metamaterial tuned by DC and RF magnetic fields
text, January 2018

Plasmonic scaling of superconducting metamaterials
journal, November 2013

Optical Hyperlens: Far-field imaging beyond the diffraction limit
text, January 2006

Operation of NIST Josephson array voltage standards
journal, May 1990

Invariant submanifold for series arrays of Josephson junctions
text, January 2008

Measurements of the Kinetic Inductance of Superconducting Linear Structures
journal, April 1969

Imaging collective behavior in an rf-SQUID metamaterial tuned by DC and RF magnetic fields
journal, February 2019

Intermodulation in Nonlinear SQUID Metamaterials: Experiment and Theory
text, January 2016

Progress in Superconducting Metamaterials
text, January 2014

Coherent emission from two‐dimensional Josephson junction arrays
journal, May 1991

Experimental Verification of a Negative Index of Refraction
journal, April 2001

The physics and applications of superconducting metamaterials
journal, November 2010

Optical hyperlens: far-field imaging beyond the diffraction limit
conference, September 2007

Progress in superconducting metamaterials
journal, May 2014

Foundations of Applied Superconductivity
journal, June 1991

A one-dimensional tunable magnetic metamaterial
text, January 2013

Invariant submanifold for series arrays of Josephson junctions
journal, March 2009

Metamaterial Electromagnetic Cloak at Microwave Frequencies
journal, November 2006

Multistability and switching in a superconducting metamaterial
journal, April 2014

Superconducting Metamaterials
text, January 2005

Two-tone spectroscopy of a SQUID metamaterial in the nonlinear regime
journal, November 2019