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On the Meissner effect in a superconductor with 4-fermion attraction
Authors:Email author" target="_blank">P?TarasewiczEmail author
Institution:(1) Faculty of Pharmacy, The Ludwik Rydygier Medical University in Bydgoszcz, ul. Jagiellonacuteska 13, 85-067 Bydgoszcz, Poland
Abstract:A presence of a Meissner-Ochsenfeld effect in a gas of spin 1/2 fermions with an interaction $V_4 = -\vert\Lambda\vert^{-1}\sum\limits_{{\bf k},{\bf k}'}g_{{\bf k},{\bf k}'}b_{{\bf k}}^* b_{-{\bf k}}^* b_{{\bf k}'}b_{-{\bf k}'}$ , where $\vert\Lambda\vert$ is a volume of a region $\Lambda$ in real space which is taken by thesystem and $b_{{\bf k}} = a_{{\bf k} + }a_{{\bf k}-}$ with $a_{{\bf k}\sigma}$ , $a_{{\bf k}'\sigma'}^*$ satisfying Fermi anticommutation relations, is investigated. The effect proves to be weaker than in BCS by a factor 3/4 at T = 0, implying a greater penetration depth $\lambda$ of external magnetic field. V 4 is nonzero only within a thin layer of 1-fermion energies around the chemical potential mgr.Received: 14 June 2004, Published online: 12 October 2004PACS: 74.20.-z Theories and models of superconducting state - 74.20.Fg BCS theory and its development
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