Nonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinement
Abstract It is a huge challenge in both classical and quantum physics to solve analytically the equation of motion in a strongly anharmonic confinement. For an isolated nanoring, we propose a continuous and bounded potential model, which patches up the disadvantages of the usual square-well and para...
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2023-04-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-023-33544-x |
| _version_ | 1797841083016675328 |
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| author | Y. J. Ding Y. Xiao |
| author_facet | Y. J. Ding Y. Xiao |
| author_sort | Y. J. Ding |
| collection | DOAJ |
| description | Abstract It is a huge challenge in both classical and quantum physics to solve analytically the equation of motion in a strongly anharmonic confinement. For an isolated nanoring, we propose a continuous and bounded potential model, which patches up the disadvantages of the usual square-well and parabolic potentials. A fully nonlinear and nonperturbative approach is developed to solve analytically the equation of motion, from which various frequency shifts and dynamic displacements are exactly derived by an order-by-order self-consistent method. A series of new energy levels and new energy states are found, indicating an alternative magnetic response mechanism. In nominally identical rings, especially, we observe a diamagnetic-paramagnetic transition in the period-halving Φ0/2-current with Φ0 the flux quantum and a large increase in the Φ0-current at least one order of magnitude, which explain well the experimental observations. This work opens a new way to solve the strong or weak nonlinear problems. |
| first_indexed | 2024-04-09T16:25:17Z |
| format | Article |
| id | doaj.art-7ebc300418b74fdeabb0cf2f5a30fd37 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-04-09T16:25:17Z |
| publishDate | 2023-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-7ebc300418b74fdeabb0cf2f5a30fd372023-04-23T11:15:38ZengNature PortfolioScientific Reports2045-23222023-04-0113111010.1038/s41598-023-33544-xNonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinementY. J. Ding0Y. Xiao1National Laboratory of Solid State Microstructure, School of Physics, Nanjing UniversityCollege of Science, Nanjing University of Aeronautics and AstronauticsAbstract It is a huge challenge in both classical and quantum physics to solve analytically the equation of motion in a strongly anharmonic confinement. For an isolated nanoring, we propose a continuous and bounded potential model, which patches up the disadvantages of the usual square-well and parabolic potentials. A fully nonlinear and nonperturbative approach is developed to solve analytically the equation of motion, from which various frequency shifts and dynamic displacements are exactly derived by an order-by-order self-consistent method. A series of new energy levels and new energy states are found, indicating an alternative magnetic response mechanism. In nominally identical rings, especially, we observe a diamagnetic-paramagnetic transition in the period-halving Φ0/2-current with Φ0 the flux quantum and a large increase in the Φ0-current at least one order of magnitude, which explain well the experimental observations. This work opens a new way to solve the strong or weak nonlinear problems.https://doi.org/10.1038/s41598-023-33544-x |
| spellingShingle | Y. J. Ding Y. Xiao Nonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinement Scientific Reports |
| title | Nonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinement |
| title_full | Nonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinement |
| title_fullStr | Nonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinement |
| title_full_unstemmed | Nonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinement |
| title_short | Nonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinement |
| title_sort | nonperturbative approach to magnetic response of an isolated nanoring in a strongly anharmonic confinement |
| url | https://doi.org/10.1038/s41598-023-33544-x |
| work_keys_str_mv | AT yjding nonperturbativeapproachtomagneticresponseofanisolatednanoringinastronglyanharmonicconfinement AT yxiao nonperturbativeapproachtomagneticresponseofanisolatednanoringinastronglyanharmonicconfinement |