Theory of shapiro steps in Josephson-junction arrays and their topology
A simple theory of Shapiro steps in a Josephson-junction (JJ) array immersed in a magnetic field is presented. It is argued that the system can be regarded as the superposition of a JJ array in zero field and a vortex lattice generated by the magnetic field. The subsystems obey the resistively-shunt...
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| Veröffentlicht in: | Physical review. B, Condensed matter Condensed matter, 1991-02, Vol.43 (4B), p.3720-3723 |
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| container_issue | 4B |
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| container_title | Physical review. B, Condensed matter |
| container_volume | 43 |
| creator | KVALE, M HEBBOUL, S. E |
| description | A simple theory of Shapiro steps in a Josephson-junction (JJ) array immersed in a magnetic field is presented. It is argued that the system can be regarded as the superposition of a JJ array in zero field and a vortex lattice generated by the magnetic field. The subsystems obey the resistively-shunted-junction equations of motion, and interference effects result in steps at 1/{ital q},2/{ital q},. . . for a filling factor {ital p}/{ital q}. The exactness of the steps is shown to result from the topological quantization of the order parameter for dissipative systems. |
| doi_str_mv | 10.1103/PhysRevB.43.3720 |
| format | Article |
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It is argued that the system can be regarded as the superposition of a JJ array in zero field and a vortex lattice generated by the magnetic field. The subsystems obey the resistively-shunted-junction equations of motion, and interference effects result in steps at 1/{ital q},2/{ital q},. . . for a filling factor {ital p}/{ital q}. The exactness of the steps is shown to result from the topological quantization of the order parameter for dissipative systems.</abstract><cop>Woodbury, NY</cop><pub>American Physical Society</pub><pmid>9997703</pmid><doi>10.1103/PhysRevB.43.3720</doi><tpages>4</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0163-1829 |
| ispartof | Physical review. B, Condensed matter, 1991-02, Vol.43 (4B), p.3720-3723 |
| issn | 0163-1829 1095-3795 |
| language | eng |
| recordid | cdi_osti_scitechconnect_5904665 |
| source | American Physical Society Journals |
| subjects | 656100 - Condensed Matter Physics- Superconductivity CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY Condensed matter: electronic structure, electrical, magnetic, and optical properties CRITICAL CURRENT CURRENTS DIFFERENTIAL EQUATIONS ELECTRIC CURRENTS EQUATIONS EQUATIONS OF MOTION Exact sciences and technology FILL FACTORS JOSEPHSON JUNCTIONS JUNCTIONS MAGNETIC FIELDS MATHEMATICS ORDER PARAMETERS PARTIAL DIFFERENTIAL EQUATIONS Physics Proximity effects, weak links, tunneling phenomena, and josephson effects, adreev effect, sn and sns junctions SUPERCONDUCTING JUNCTIONS Superconductivity SUPERCONDUCTORS TOPOLOGY TUNNEL EFFECT TYPE-II SUPERCONDUCTORS |
| title | Theory of shapiro steps in Josephson-junction arrays and their topology |
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