B J Powell et al 2003 J. Phys. A: Math. Gen. 36 9289 doi:10.1088/0305-4470/36/35/314
The gap equations for spin singlet and triplet ferromagnetic superconductors
B J Powell1,2, James F Annett1 and B L Györffy1
Show affiliationsWe derive gap equations for superconductivity in coexistence with ferromagnetism. We treat singlet and triplet states with either equal spin pairing (ESP) or opposite spin pairing (OSP) states, and study the behaviour of these states as a function of exchange splitting. For the s-wave singlet state we find that our gap equations correctly reproduce the Clogston–Chandrasekhar limiting behaviour and the phase diagram of the Baltensperger–Sarma equation (excluding the FFLO region). The singlet superconducting order parameter is shown to be independent of exchange splitting at zero temperature, as is assumed in the derivation of the Clogston–Chandrasekhar limit. P-wave triplet states of the OSP type behave similarly to the singlet state as a function of exchange splitting. On the other hand, ESP triplet states show a very different behaviour. In particular, there is no Clogston–Chandrasekhar limiting and the superconducting critical temperature, TC, is actually increased by exchange splitting.
- PACS
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74.25.Dw Superconductivity phase diagrams
71.70.Gm Exchange interactions
- MSC
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45Gxx Nonlinear integral equations (See also 47H30, 47Jxx)
- Subjects
- Dates
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Issue 35 (5 September 2003)
Received 10 March 2003, in final form 7 April 2003
Published 20 August 2003
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The gap equations for spin singlet and triplet ferromagnetic superconductors
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