Theory of Shapiro steps in Josephson-junction arrays and their topology

作者: Mark Kvale , S. E. Hebboul

DOI: 10.1103/PHYSREVB.43.3720

关键词: Magnetic fieldDissipative systemType-II superconductorEquations of motionJosephson effectSuperposition principleFilling factorLattice (order)Quantum mechanicsTopologyPhysics

摘要: A simple theory of Shapiro steps in a Josephson-junction (JJ) array immersed magnetic field is presented. It argued that the system can be regarded as superposition JJ zero and vortex lattice generated by field. The subsystems obey resistively-shunted-junction equations motion, interference effects result at 1/{ital q},2/{ital q},. . for filling factor {ital p}/{ital q}. exactness shown to from topological quantization order parameter dissipative systems.

参考文章(17)
S. Teitel, C. Jayaprakash, Phase transtions in frustrated two-dimensionalXYmodels Physical Review B. ,vol. 27, pp. 598- 601 ,(1983) , 10.1103/PHYSREVB.27.598
S. Teitel, C. Jayaprakash, Josephson-Junction Arrays in Transverse Magnetic Fields Physical Review Letters. ,vol. 51, pp. 1999- 2002 ,(1983) , 10.1103/PHYSREVLETT.51.1999
W. Y. Shih, D. Stroud, Two-dimensional superconducting arrays in a magnetic field: Effects of lattice structures Physical Review B. ,vol. 32, pp. 158- 165 ,(1985) , 10.1103/PHYSREVB.32.158
Qian Niu, Franco Nori, Theory of Superconducting WIRE Networks and Josephson Junction Arrays in Magnetic Fields Physical Review B. ,vol. 39, pp. 2134- 2150 ,(1989) , 10.1103/PHYSREVB.39.2134
C.J. Lobb, Phase transitions in arrays of Josephson junctions Physica B-condensed Matter. ,vol. 126, pp. 319- 325 ,(1984) , 10.1016/0378-4363(84)90182-7
S. P. Benz, M. S. Rzchowski, M. Tinkham, C. J. Lobb, Fractional giant Shapiro steps and spatially correlated phase motion in 2D Josephson arrays. Physical Review Letters. ,vol. 64, pp. 693- 696 ,(1990) , 10.1103/PHYSREVLETT.64.693
K. Lee, D. Stroud, J. Chung, Calculation of giant fractional Shapiro steps in Josephson-junction arrays. Physical Review Letters. ,vol. 64, pp. 962- 965 ,(1990) , 10.1103/PHYSREVLETT.64.962
Thomas C. Halsey, Giant Shapiro steps in Josephson-junction arrays. Physical Review B. ,vol. 41, pp. 11634- 11637 ,(1990) , 10.1103/PHYSREVB.41.11634
S.E. Hebboul, D.C. Harris, J.C. Garland, Modulation of low-frequency shapiro steps of superconducting proximity-effect junctions Physica B-condensed Matter. ,vol. 165, pp. 1629- 1630 ,(1990) , 10.1016/S0921-4526(09)80400-6