A novel hydrodynamic approach to superconductivity. Appearance of the Meissner effect |
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Affiliation: | 1. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, Berlin 10623, Germany;2. Complex Systems Lab, Discipline of Physics, Indian Institute of Technology Indore, Simrol, Indore, Madhya Pradesh 453552 India;1. Department of Statistics and Operations Researches, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia;2. Mathematics Department, College of Sciences and Humanities Studies in Al-Kharj, Prince Sattam Bin Abdulaziz University, Saudi Arabia;3. Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia 41522, Egypt;4. Department of Engineering Mathematics and Physics, Faculty of Engineering, Mansoura University, Mansoura 35516, Egypt;1. Department of Economics, Quantitative Methods and Management, University of Milano Bicocca, Piazza Ateneo Nuovo 1, Milano, 20126, Italy;2. Department of Economics and Social Sciences, Catholic University, Via Emilia Parmense 84, Piacenza, 29100, Italy |
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Abstract: | From the point of view of spin interactions, considering the electron a charged quantised vortex-type object (QVTO) with vortex strength Γ=±h/2m, we study a two-dimensional system of electrons with antiferromagnetic arrangement of spins. In the conditions of an applied magnetic field some of the electrons will flip the spin and the equivalent QVTO system will start to move due to corroborated action of the vortex population. The developed currents will create a magnetic field opposed to the applied magnetic field, leading to the appearance of Meissner effect. As a function of the intrinsic pinning, the velocity field yields two behaviours, identified with Type I and Type II superconductors. The critical values of the magnetic field arise naturally from the balance between the Lorentz and Coulombian forces acting upon a moving QVTO. A temperature dependence of the distance between the QVTO and critical field is derived. |
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