--- _id: '10627' abstract: - lang: eng text: We present a scanning probe technique for measuring the dynamics of individual fluxoid transitions in multiply connected superconducting structures. In these measurements, a small magnetic particle attached to the tip of a silicon cantilever is scanned over a micron-size superconducting ring fabricated from a thin aluminum film. We find that near the superconducting transition temperature of the aluminum, the dissipation and frequency of the cantilever changes significantly at particular locations where the tip-induced magnetic flux penetrating the ring causes the two lowest-energy fluxoid states to become nearly degenerate. In this regime, we show that changes in the cantilever frequency and dissipation are well-described by a stochastic resonance (SR) process, wherein small oscillations of the cantilever in the presence of thermally activated phase slips (TAPS) in the ring give rise to a dynamical force that modifies the mechanical properties of the cantilever. Using the SR model, we calculate the average fluctuation rate of the TAPS as a function of temperature over a 32-dB range in frequency, and we compare it to the Langer-Ambegaokar-McCumber-Halperin theory for TAPS in one-dimensional superconducting structures. acknowledgement: "We are grateful to Nadya Mason for useful discussions. This work was supported by the DOE Basic Energy Sciences under Contract No. DE-SC0012649, the Department of Physics and the Frederick Seitz Materials Research Laboratory Central Facilities at the University of Illinois.\r\n" article_number: '184501' article_processing_charge: No article_type: original author: - first_name: Hryhoriy full_name: Polshyn, Hryhoriy id: edfc7cb1-526e-11ec-b05a-e6ecc27e4e48 last_name: Polshyn orcid: 0000-0001-8223-8896 - first_name: Tyler R. full_name: Naibert, Tyler R. last_name: Naibert - first_name: Raffi full_name: Budakian, Raffi last_name: Budakian citation: ama: Polshyn H, Naibert TR, Budakian R. Imaging phase slip dynamics in micron-size superconducting rings. Physical Review B. 2018;97(18). doi:10.1103/physrevb.97.184501 apa: Polshyn, H., Naibert, T. R., & Budakian, R. (2018). Imaging phase slip dynamics in micron-size superconducting rings. Physical Review B. American Physical Society. https://doi.org/10.1103/physrevb.97.184501 chicago: Polshyn, Hryhoriy, Tyler R. Naibert, and Raffi Budakian. “Imaging Phase Slip Dynamics in Micron-Size Superconducting Rings.” Physical Review B. American Physical Society, 2018. https://doi.org/10.1103/physrevb.97.184501. ieee: H. Polshyn, T. R. Naibert, and R. Budakian, “Imaging phase slip dynamics in micron-size superconducting rings,” Physical Review B, vol. 97, no. 18. American Physical Society, 2018. ista: Polshyn H, Naibert TR, Budakian R. 2018. Imaging phase slip dynamics in micron-size superconducting rings. Physical Review B. 97(18), 184501. mla: Polshyn, Hryhoriy, et al. “Imaging Phase Slip Dynamics in Micron-Size Superconducting Rings.” Physical Review B, vol. 97, no. 18, 184501, American Physical Society, 2018, doi:10.1103/physrevb.97.184501. short: H. Polshyn, T.R. Naibert, R. Budakian, Physical Review B 97 (2018). date_created: 2022-01-14T13:48:47Z date_published: 2018-05-08T00:00:00Z date_updated: 2022-01-14T13:58:24Z day: '08' doi: 10.1103/physrevb.97.184501 extern: '1' external_id: arxiv: - '1703.08184' intvolume: ' 97' issue: '18' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1703.08184 month: '05' oa: 1 oa_version: Preprint publication: Physical Review B publication_identifier: eissn: - 2469-9969 issn: - 2469-9950 publication_status: published publisher: American Physical Society quality_controlled: '1' scopus_import: '1' status: public title: Imaging phase slip dynamics in micron-size superconducting rings type: journal_article user_id: 8b945eb4-e2f2-11eb-945a-df72226e66a9 volume: 97 year: '2018' ...