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 Ξππ =Ξπ₯(π)cosππ₯ π +Ξπ¦ (π)cosππ¦ π +Ξ©π₯(π)sinππ₯π +Ξ©π¦(π)sinππ¦π , where π is a total momentum of the pair. Numerical solutions of the self-consistent system of the integral equations for quantities Ξπ₯ (π) , Ξπ¦ (π) and Ξ©π₯(π), Ξ©π¦ (π) along different lines in ππ₯, ππ¦ plane have been obtained. Anisotropy of the depairing total momentum (or depairing current) has been calculated.
About the Authors
M. V. EreminRussian Federation
Kremlevskaya, 18, Kazan 420008
I. E. Lyubin
Russian Federation
Kremlevskaya, 18, Kazan 420008
References
1. Cooper L.N. Phys. Rev. Lett. 104, 1189 (1956).
2. Casas M., Fujita S., de Llano M., Puente A., Rigo A., Solis M.A. Physica C 295, 93 (1998).
3. Eremin M.V., Solovjanov S.G., Varlamov S.V. JETP 85(5), 963 (1997).
4. Roth L.M. Phys. Rev. 184, 451 (1969).
5. Plakida N.M., Hayn R., Richard J.-L. Phys. Rev. B 51, 16599 (1995).
6. Norman M.R. Phys. Rev. B 63, 92509 (2001).
7. Eremin M.V., Larionov I.A. JETP Lett. 62(3), 192 (1995).
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.