2012
DOI: 10.1143/jpsj.81.033702
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Coexistence of Even- and Odd-Frequency Superconductivities Under Broken Time-Reversal Symmetry

Abstract: A novel superconducting state under the broken time-reversal symmetry is studied in conventional phonon-mediated superconductors. By solving the Eliashberg equation self-consistently with the mass renormalization effect, it is found that the even-and odd-frequency components of the order parameter coexist in the bulk system as a consequence of the broken time-reversal symmetry. This finding would direct more attention to the odd-frequency pairing that affects physical quantities, especially in strong coupling … Show more

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Cited by 34 publications
(48 citation statements)
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“…27,28 On the other hand, the relation in Eq. (2.10) does not hold anymore if the odd-frequency order parameter is the majority component.…”
Section: Odd-frequency Order Parametermentioning
confidence: 99%
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“…27,28 On the other hand, the relation in Eq. (2.10) does not hold anymore if the odd-frequency order parameter is the majority component.…”
Section: Odd-frequency Order Parametermentioning
confidence: 99%
“…24 As the attractive interaction of the spin-triplet s-wave, we consider an electron-phonon interaction as in our previous study under an external magnetic field. 27,28 We determine both the frequency and spatial dependences of the odd-frequency order parameter self-consistently on the basis of our previous quasi-classical theory for the surface and domain wall in the p-wave superconductors. 29 To understand the emergence of the odd-frequency order parameter, we express the induced odd-frequency pair amplitude with the superconducting quasi-particle wavefunction.…”
Section: Introductionmentioning
confidence: 99%
“…In addition to this, the mass enhancement significantly suppresses the odd-frequency pairing, so that it is naturally expected that the induced odd-frequency component discussed below is also small as compared with the majority even-frequency component. 17 Performing the k integration, we obtain the free-energy functional as…”
Section: A the Formulation Based On The Free-energy Functionalmentioning
confidence: 99%
“…The present authors proposed the mixing of the conventional s-wave singlet with the odd-frequency triplet component under applied uniform magnetic fields through Zeeman splitting of the conduction band. 17 Such a situation may also be relevant to superconductivity coexisting with ferromagnetism. 13,18 When the odd-frequency component is involved, a delicate treatment of the superconducting state should be required.…”
Section: Introductionmentioning
confidence: 99%
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