Interplays between Mesoscopic Josephson Junctions and the Harper Equation |
E. Pappa, C. Micub and I. Bicac
a Department of Theoretical Physics, West University of Timisoara, Bul. V. Parvan 4, RO-300223 Timisoara, Romania b Department of Physics, North University of Baia Mare, Str. Victoriei 76, RO-430122 Baia Mare, Romania c Department of Physics, West University of Timisoara, Bul. V. Parvan no. 4, RO-300223 Timisoara, Romania |
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Proofs are given that by resorting to the discretization of the superconducting phase variable leads to the conversion: of the eigenvalue equation of a mesoscopic Josephson junction under a dc voltage into a generalized version of the Harper equation with anisotropy parameter. A full conversion proceeds, however, in terms of selected parameters. Classical limits and further generalizations are also shortly discussed. |
DOI: 10.12693/APhysPolA.116.486 PACS numbers: 73.21.Cd, 74.50.+r, 74.78.Na |