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Binding energy of a Cooper pairs with non-zero center of mass momentum in d-wave superconductors

Abstract

The binding energy of Cooper pairs has been calculated for the case of d-wave symmetry of the superconducting gap in layered cuprate superconductors. We assume that Cooper pairs are formed by the short range potential and then derive the binding energy in the form Ξ”π’Œπ’’ =Ξ”π‘₯(𝒒)cosπ‘˜π‘₯ π‘Ž +Δ𝑦 (𝒒)cosπ‘˜π‘¦ π‘Ž +Ξ©π‘₯(𝒒)sinπ‘˜π‘₯π‘Ž +Ω𝑦(𝒒)sinπ‘˜π‘¦π‘Ž , where 𝒒 is a total momentum of the pair. Numerical solutions of the self-consistent system of the integral equations for quantities Ξ”π‘₯ (𝒒) , Δ𝑦 (𝒒) and Ξ©π‘₯(𝒒), Ω𝑦 (𝒒) along different lines in π‘žπ‘₯, π‘žπ‘¦ plane have been obtained. Anisotropy of the depairing total momentum (or depairing current) has been calculated.

About the Authors

M. V. Eremin
Kazan State University
Russian Federation

Kremlevskaya, 18, Kazan 420008



I. E. Lyubin
Kazan State University
Russian Federation

Kremlevskaya, 18, Kazan 420008



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Review

For citations:


Eremin M.V., Lyubin I.E. Binding energy of a Cooper pairs with non-zero center of mass momentum in d-wave superconductors. Magnetic Resonance in Solids. 2007;9(1):7-12.

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ISSN 2072-5981 (Online)