On the Meissner effect in a superconductor with 4-fermion attraction

Article

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 μ.

Keywords

Magnetic Field Thin Layer Penetration Depth External Magnetic Field Real Space 

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Copyright information

© Springer-Verlag Berlin/Heidelberg 2004

Authors and Affiliations

  1. 1.Faculty of PharmacyThe Ludwik Rydygier Medical University in BydgoszczBydgoszczPoland

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