Cyclic superconducting refrigerators using guided fluxon propagation

Karmakar, Tathagata; Jussiau, Étienne; Manikandan, Sreenath K.; Jordan, Andrew N.

doi:10.1103/PhysRevResearch.6.013085

Cyclic superconducting refrigerators using guided fluxon propagation

Journal Article · Tue Jan 23 00:00:00 EST 2024 · Physical Review Research

DOI:https://doi.org/10.1103/PhysRevResearch.6.013085· OSTI ID:2282382

; Jussiau, Étienne; ;

We propose cyclic refrigeration in solid state, employing a gas of magnetic field vortices in a type-II superconductor—also known as fluxons—as the cooling agent. Refrigeration cycles are realized by envisioning a racetrack geometry consisting of both adiabatic and isothermal arms, etched into a type-II superconductor. The guided propagation of fluxons in the racetrack is achieved by applying an external electrical current, in a Corbino geometry, through the sample. A gradient of magnetic field is set across the racetrack allowing one to adiabatically cool down and heat up the fluxons, which subsequently exchange heat with the cold and hot reservoirs, respectively. We characterize the steady state of refrigeration cycles thermodynamically for both $s$ -wave and $d$ -wave pairing symmetries, and present their figures of merit such as the cooling power delivered, and the coefficient of performance. Our cooling principle can offer significant cooling for on-chip microrefrigeration purposes, by locally cooling below the base temperatures achievable in a conventional dilution refrigerator. We estimate $n W / m m^{2}$ of cooling power per unit area assuming a tunnel coupling with $\sim M Ω µ m^{2}$ specific resistance. Integrating the fluxon fridge to quantum circuits can enhance their coherence time by locally suppressing thermal fluctuations, and improve the efficiency of single photon detectors and charge sensors.

Published by the American Physical Society 2024

View Journal Article

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0017890

OSTI ID:: 2282382

Journal Information:: Physical Review Research, Journal Name: Physical Review Research Journal Issue: 1 Vol. 6; ISSN 2643-1564; ISSN PPRHAI

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

References (77)

Superconductivity: An introduction Mangin, Philippe; Kahn, Rémi https://doi.org/10.1007/978-3-319-50527-5	book	January 2017
The magnetic properties of superconducting alloys Abrikosov, A. A. Journal of Physics and Chemistry of Solids, Vol. 2, Issue 3 https://doi.org/10.1016/0022-3697(57)90083-5	journal	January 1957
Second-law analysis of an ideal Otto cycle Lior, Noam; Rudy, George J. Energy Conversion and Management, Vol. 28, Issue 4 https://doi.org/10.1016/0196-8904(88)90054-4	journal	January 1988
Cooling by adiabatic magnetization of superconductors Yaqub, M. Cryogenics, Vol. 1, Issue 2 https://doi.org/10.1016/S0011-2275(60)80012-4	journal	December 1960
NIS chip refrigeration Pekola, J. P.; Kyynäräinen, J. M.; Leivo, M. M. Cryogenics, Vol. 39, Issue 8 https://doi.org/10.1016/S0011-2275(99)00064-8	journal	August 1999
Further calorimetric experiments on thallium Keesom, W. H.; Kok, J. A. Physica, Vol. 1, Issue 7-12 https://doi.org/10.1016/S0031-8914(34)80246-7	journal	May 1934
High-performance electronic cooling with superconducting tunnel junctions Courtois, Hervé; Nguyen, Hung Q.; Winkelmann, Clemens B. Comptes Rendus Physique, Vol. 17, Issue 10 https://doi.org/10.1016/j.crhy.2016.08.010	journal	December 2016
Three-terminal heat engine and refrigerator based on superlattices Choi, Yunjin; Jordan, Andrew N. Physica E: Low-dimensional Systems and Nanostructures, Vol. 74 https://doi.org/10.1016/j.physe.2015.08.002	journal	November 2015
Fundamental aspects of steady-state conversion of heat to work at the nanoscale Benenti, Giuliano; Casati, Giulio; Saito, Keiji Physics Reports, Vol. 694 https://doi.org/10.1016/j.physrep.2017.05.008	journal	June 2017
Heat Driven Transport in Serial Double Quantum Dot Devices Dorsch, Sven; Svilans, Artis; Josefsson, Martin Nano Letters, Vol. 21, Issue 2 https://doi.org/10.1021/acs.nanolett.0c04017	journal	January 2021
Magneto-Caloric Effect in Supraconducting Tin Mendelssohn, K.; Moore, J. R. Nature, Vol. 133, Issue 3359 https://doi.org/10.1038/133413b0	journal	March 1934
Reversible control of spin-polarized supercurrents in ferromagnetic Josephson junctions Banerjee, N.; Robinson, J. W. A.; Blamire, M. G. Nature Communications, Vol. 5, Issue 1 https://doi.org/10.1038/ncomms5771	journal	August 2014
Harvesting dissipated energy with a mesoscopic ratchet Roche, B.; Roulleau, P.; Jullien, T. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms7738	journal	April 2015
Single Abrikosov vortices as quantized information bits Golod, T.; Iovan, A.; Krasnov, V. M. Nature Communications, Vol. 6, Issue 1 https://doi.org/10.1038/ncomms9628	journal	October 2015
Three-terminal energy harvester with coupled quantum dots Thierschmann, Holger; Sánchez, Rafael; Sothmann, Björn Nature Nanotechnology, Vol. 10, Issue 10 https://doi.org/10.1038/nnano.2015.176	journal	August 2015
Towards phase-coherent caloritronics in superconducting circuits Fornieri, Antonio; Giazotto, Francesco Nature Nanotechnology, Vol. 12, Issue 10 https://doi.org/10.1038/nnano.2017.204	journal	October 2017
Electrically driven single-electron spin resonance in a slanting Zeeman field Pioro-Ladrière, M.; Obata, T.; Tokura, Y. Nature Physics, Vol. 4, Issue 10 https://doi.org/10.1038/nphys1053	journal	August 2008
Imaging of super-fast dynamics and flow instabilities of superconducting vortices Embon, L.; Anahory, Y.; Jelić, Ž. L. Nature Communications, Vol. 8, Issue 1 https://doi.org/10.1038/s41467-017-00089-3	journal	July 2017
Long-range focusing of magnetic bound states in superconducting lanthanum Kim, Howon; Rózsa, Levente; Schreyer, Dominik Nature Communications, Vol. 11, Issue 1 https://doi.org/10.1038/s41467-020-18406-8	journal	September 2020
Thermoelectric current in a graphene Cooper pair splitter Tan, Z. B.; Laitinen, A.; Kirsanov, N. S. Nature Communications, Vol. 12, Issue 1 https://doi.org/10.1038/s41467-020-20476-7	journal	January 2021
The role of quantum measurement in stochastic thermodynamics Elouard, Cyril; Herrera-Martí, David A.; Clusel, Maxime npj Quantum Information, Vol. 3, Issue 1 https://doi.org/10.1038/s41534-017-0008-4	journal	March 2017
A quantum-dot heat engine operating close to the thermodynamic efficiency limits Josefsson, Martin; Svilans, Artis; Burke, Adam M. Nature Nanotechnology, Vol. 13, Issue 10 https://doi.org/10.1038/s41565-018-0200-5	journal	July 2018
Magnon–fluxon interaction in a ferromagnet/superconductor heterostructure Dobrovolskiy, O. V.; Sachser, R.; Brächer, T. Nature Physics, Vol. 15, Issue 5 https://doi.org/10.1038/s41567-019-0428-5	journal	February 2019
Phase-coherent solitonic Josephson heat oscillator Guarcello, Claudio; Solinas, Paolo; Braggio, Alessandro Scientific Reports, Vol. 8, Issue 1 https://doi.org/10.1038/s41598-018-30268-1	journal	August 2018
Heat rectification via a superconducting artificial atom Senior, Jorden; Gubaydullin, Azat; Karimi, Bayan Communications Physics, Vol. 3, Issue 1 https://doi.org/10.1038/s42005-020-0307-5	journal	February 2020
Physics and applications of NIS junctions Ullom, J. N. AIP Conference Proceedings https://doi.org/10.1063/1.1457613	conference	January 2002
Picovoltmeter for probing vortex dynamics in a single weak-pinning Corbino channel Heitmann, T. W.; Yu, K.; Song, C. Review of Scientific Instruments, Vol. 79, Issue 10 https://doi.org/10.1063/1.3000683	journal	October 2008
Optimal paths for thermodynamic systems: The ideal Otto cycle Mozurkewich, Michael; Berry, R. Stephen Journal of Applied Physics, Vol. 53, Issue 1 https://doi.org/10.1063/1.329894	journal	January 1982
Two-axis control of a singlet-triplet qubit with an integrated micromagnet Wu, X.; Ward, D. R.; Prance, J. R. Proceedings of the National Academy of Sciences, Vol. 111, Issue 33 https://doi.org/10.1073/pnas.1412230111	journal	August 2014
The best thermoelectric. Mahan, G. D.; Sofo, J. O. Proceedings of the National Academy of Sciences, Vol. 93, Issue 15 https://doi.org/10.1073/pnas.93.15.7436	journal	July 1996
Quantum thermodynamics Vinjanampathy, Sai; Anders, Janet Contemporary Physics, Vol. 57, Issue 4 https://doi.org/10.1080/00107514.2016.1201896	journal	July 2016
Micrometre-scale refrigerators Muhonen, Juha T.; Meschke, Matthias; Pekola, Jukka P. Reports on Progress in Physics, Vol. 75, Issue 4 https://doi.org/10.1088/0034-4885/75/4/046501	journal	March 2012
Thermo-electric properties of quantum point contacts Houten, H. van; Molenkamp, L. W.; Beenakker, C. W. J. Semiconductor Science and Technology, Vol. 7, Issue 3B https://doi.org/10.1088/0268-1242/7/3B/052	journal	March 1992
Thermoelectric energy harvesting with quantum dots Sothmann, Björn; Sánchez, Rafael; Jordan, Andrew N. Nanotechnology, Vol. 26, Issue 3 https://doi.org/10.1088/0957-4484/26/3/032001	journal	December 2014
Powerful energy harvester based on resonant-tunneling quantum wells Sothmann, Björn; Sánchez, Rafael; Jordan, Andrew N. New Journal of Physics, Vol. 15, Issue 9 https://doi.org/10.1088/1367-2630/15/9/095021	journal	September 2013
Heat diode and engine based on quantum Hall edge states Sánchez, Rafael; Sothmann, Björn; Jordan, Andrew N. New Journal of Physics, Vol. 17, Issue 7 https://doi.org/10.1088/1367-2630/17/7/075006	journal	July 2015
Specific heat in superconductors Wen, Hai-Hu Chinese Physics B, Vol. 29, Issue 1 https://doi.org/10.1088/1674-1056/ab5a3d	journal	January 2020
Thermal flux-flow regime in long Josephson tunnel junctions Guarcello, Claudio; Solinas, Paolo; Giazotto, Francesco Journal of Statistical Mechanics: Theory and Experiment, Vol. 2019, Issue 8 https://doi.org/10.1088/1742-5468/ab3194	journal	August 2019
Superconducting Quantum Refrigerator: Breaking and Rejoining Cooper Pairs with Magnetic Field Cycles Manikandan, Sreenath K.; Giazotto, Francesco; Jordan, Andrew N. Physical Review Applied, Vol. 11, Issue 5 https://doi.org/10.1103/PhysRevApplied.11.054034	journal	May 2019
Solitonic Josephson Thermal Transport Guarcello, Claudio; Solinas, Paolo; Braggio, Alessandro Physical Review Applied, Vol. 9, Issue 3 https://doi.org/10.1103/PhysRevApplied.9.034014	journal	March 2018
Thermal transistor and thermometer based on Coulomb-coupled conductors Yang, Jing; Elouard, Cyril; Splettstoesser, Janine Physical Review B, Vol. 100, Issue 4 https://doi.org/10.1103/PhysRevB.100.045418	journal	July 2019
Efficient and tunable Aharonov-Bohm quantum heat engine Haack, Géraldine; Giazotto, Francesco Physical Review B, Vol. 100, Issue 23 https://doi.org/10.1103/PhysRevB.100.235442	journal	December 2019
Autonomous quantum absorption refrigerators Manikandan, Sreenath K.; Jussiau, Étienne; Jordan, Andrew N. Physical Review B, Vol. 102, Issue 23 https://doi.org/10.1103/PhysRevB.102.235427	journal	December 2020
Flux-flow instabilities in amorphousNb0.7Ge0.3microbridges Babić, D.; Bentner, J.; Sürgers, C. Physical Review B, Vol. 69, Issue 9 https://doi.org/10.1103/PhysRevB.69.092510	journal	March 2004
Asymmetric weak-pinning superconducting channels: Vortex ratchets Yu, K.; Heitmann, T. W.; Song, C. Physical Review B, Vol. 76, Issue 22 https://doi.org/10.1103/PhysRevB.76.220507	journal	December 2007
Adiabatic magnetization of superconductors as a high-performance cooling mechanism Dolcini, Fabrizio; Giazotto, Francesco Physical Review B, Vol. 80, Issue 2 https://doi.org/10.1103/PhysRevB.80.024503	journal	July 2009
Vortex dynamics in superconducting channels with periodic constrictions Yu, K.; Hesselberth, M. B. S.; Kes, P. H. Physical Review B, Vol. 81, Issue 18 https://doi.org/10.1103/PhysRevB.81.184503	journal	May 2010
Optimal energy quanta to current conversion Sánchez, Rafael; Büttiker, Markus Physical Review B, Vol. 83, Issue 8 https://doi.org/10.1103/PhysRevB.83.085428	journal	February 2011
Rectification of vortex motion in a circular ratchet channel Lin, N. S.; Heitmann, T. W.; Yu, K. Physical Review B, Vol. 84, Issue 14 https://doi.org/10.1103/PhysRevB.84.144511	journal	October 2011
Rectification of thermal fluctuations in a chaotic cavity heat engine Sothmann, Björn; Sánchez, Rafael; Jordan, Andrew N. Physical Review B, Vol. 85, Issue 20 https://doi.org/10.1103/PhysRevB.85.205301	journal	May 2012
Spintronics-based mesoscopic heat engine Atalaya, J.; Gorelik, L. Y. Physical Review B, Vol. 85, Issue 24 https://doi.org/10.1103/PhysRevB.85.245309	journal	June 2012
Powerful and efficient energy harvester with resonant-tunneling quantum dots Jordan, Andrew N.; Sothmann, Björn; Sánchez, Rafael Physical Review B, Vol. 87, Issue 7 https://doi.org/10.1103/PhysRevB.87.075312	journal	February 2013
Electrical current from quantum vacuum fluctuations in nanoengines Henriet, Loïc; Jordan, Andrew N.; Le Hur, Karyn Physical Review B, Vol. 92, Issue 12 https://doi.org/10.1103/PhysRevB.92.125306	journal	September 2015
Quantum heat engine based on photon-assisted Cooper pair tunneling Hofer, Patrick P.; Souquet, J. -R.; Clerk, A. A. Physical Review B, Vol. 93, Issue 4 https://doi.org/10.1103/PhysRevB.93.041418	journal	January 2016
Coherent diffraction of thermal currents in long Josephson tunnel junctions Guarcello, Claudio; Giazotto, Francesco; Solinas, Paolo Physical Review B, Vol. 94, Issue 5 https://doi.org/10.1103/PhysRevB.94.054522	journal	August 2016
Solitonic thermal transport in a current-biased long Josephson junction Guarcello, Claudio; Solinas, Paolo; Braggio, Alessandro Physical Review B, Vol. 98, Issue 10 https://doi.org/10.1103/PhysRevB.98.104501	journal	September 2018
Local flux-flow instability in superconducting films near T c Bezuglyj, Alexei I.; Shklovskij, Valerij A.; Vovk, Ruslan V. Physical Review B, Vol. 99, Issue 17 https://doi.org/10.1103/PhysRevB.99.174518	journal	May 2019
Electronic Refrigeration of a Two-Dimensional Electron Gas Prance, J. R.; Smith, C. G.; Griffiths, J. P. Physical Review Letters, Vol. 102, Issue 14 https://doi.org/10.1103/PhysRevLett.102.146602	journal	April 2009
Chiral Thermoelectrics with Quantum Hall Edge States Sánchez, Rafael; Sothmann, Björn; Jordan, Andrew N. Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.146801	journal	April 2015
Voltage Fluctuation to Current Converter with Coulomb-Coupled Quantum Dots Hartmann, F.; Pfeffer, P.; Höfling, S. Physical Review Letters, Vol. 114, Issue 14 https://doi.org/10.1103/PhysRevLett.114.146805	journal	April 2015
Surface Barrier in Type-II Superconductors Bean, C. P.; Livingston, J. D. Physical Review Letters, Vol. 12, Issue 1 https://doi.org/10.1103/PhysRevLett.12.14	journal	January 1964
Efficient Quantum Measurement Engines Elouard, Cyril; Jordan, Andrew N. Physical Review Letters, Vol. 120, Issue 26 https://doi.org/10.1103/PhysRevLett.120.260601	journal	June 2018
Quantum Measurement Cooling Buffoni, Lorenzo; Solfanelli, Andrea; Verrucchi, Paola Physical Review Letters, Vol. 122, Issue 7 https://doi.org/10.1103/PhysRevLett.122.070603	journal	February 2019
Experimental Realization of a Quantum Dot Energy Harvester Jaliel, G.; Puddy, R. K.; Sánchez, R. Physical Review Letters, Vol. 123, Issue 11 https://doi.org/10.1103/PhysRevLett.123.117701	journal	September 2019
Normal-Metal-Superconductor Tunnel Junction as a Brownian Refrigerator Pekola, J. P.; Hekking, F. W. J. Physical Review Letters, Vol. 98, Issue 21 https://doi.org/10.1103/PhysRevLett.98.210604	journal	May 2007
Heat Transistor: Demonstration of Gate-Controlled Electronic Refrigeration Saira, Olli-Pentti; Meschke, Matthias; Giazotto, Francesco Physical Review Letters, Vol. 99, Issue 2 https://doi.org/10.1103/PhysRevLett.99.027203	journal	July 2007
Continuous measurement boosted adiabatic quantum thermal machines Bhandari, Bibek; Jordan, Andrew N. Physical Review Research, Vol. 4, Issue 3 https://doi.org/10.1103/PhysRevResearch.4.033103	journal	August 2022
Kapitza Resistance Pollack, Gerald L. Reviews of Modern Physics, Vol. 41, Issue 1 https://doi.org/10.1103/RevModPhys.41.48	journal	January 1969
μSR studies of the vortex state in type-II superconductors Sonier, Jeff E.; Brewer, Jess H.; Kiefl, Robert F. Reviews of Modern Physics, Vol. 72, Issue 3 https://doi.org/10.1103/RevModPhys.72.769	journal	July 2000
Vortex states and quantum magnetic oscillations in conventional type-II superconductors Maniv, Tsofar; Zhuravlev, Vladimir; Vagner, Israel Reviews of Modern Physics, Vol. 73, Issue 4 https://doi.org/10.1103/RevModPhys.73.867	journal	November 2001
Nobel Lecture: Type-II superconductors and the vortex lattice Abrikosov, A. A. Reviews of Modern Physics, Vol. 76, Issue 3 https://doi.org/10.1103/RevModPhys.76.975	journal	December 2004
Opportunities for mesoscopics in thermometry and refrigeration: Physics and applications Giazotto, Francesco; Heikkilä, Tero T.; Luukanen, Arttu Reviews of Modern Physics, Vol. 78, Issue 1 https://doi.org/10.1103/RevModPhys.78.217	journal	March 2006
Ginzburg-Landau theory of type II superconductors in magnetic field Rosenstein, Baruch; Li, Dingping Reviews of Modern Physics, Vol. 82, Issue 1 https://doi.org/10.1103/RevModPhys.82.109	journal	January 2010
Quantum Nernst engines Sothmann, Björn; Sánchez, Rafael; Jordan, Andrew N. EPL (Europhysics Letters), Vol. 107, Issue 4 https://doi.org/10.1209/0295-5075/107/47003	journal	August 2014
Magnon-driven quantum-dot heat engine Sothmann, Björn; Büttiker, Markus EPL (Europhysics Letters), Vol. 99, Issue 2 https://doi.org/10.1209/0295-5075/99/27001	journal	July 2012
Quantum Thermodynamics: A Dynamical Viewpoint Kosloff, Ronnie Entropy, Vol. 15, Issue 12 https://doi.org/10.3390/e15062100	journal	May 2013
The Quantum Harmonic Otto Cycle Kosloff, Ronnie; Rezek, Yair Entropy, Vol. 19, Issue 4 https://doi.org/10.3390/e19040136	journal	March 2017

Similar Records

Optical Imaging of Laser-Driven Fast Electron Weibel-like Filamentation in Overcritical Density Plasma

Journal Article · Thu Jan 16 19:00:00 EST 2025 · Physical Review Letters · OSTI ID:2502125

Positronium Laser Cooling via the

1^{3} S − 2^{3} P

Transition with a Broadband Laser Pulse

Journal Article · Wed Feb 21 19:00:00 EST 2024 · Physical Review Letters · OSTI ID:2311004

Neutron stars as a probe of the cosmic neutrino background

Journal Article · Sun Mar 16 20:00:00 EDT 2025 · Physical Review. D. · OSTI ID:2530979

Cyclic superconducting refrigerators using guided fluxon propagation

Citation Formats

References (77)

Similar Records

Related Subjects