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Superconductors without an inversion center of symmetry: The s-wave state

208   0   0.0 ( 0 )
 Added by P. A. Frigeri
 Publication date 2005
  fields Physics
and research's language is English




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In materials without an inversion center of symmetry the spin degeneracy of the conducting band is lifted by an antisymmetric spin orbit coupling (ASOC). Under such circumstances, spin and parity cannot be separately used to classify the Cooper pairing states. Consequently, the superconducting order parameter is generally a mixture of spin singlet and triplet pairing states. In this paper we investigate the structure of the order parameter and its response to disorder for the most symmetric pairing state ($A_1$). Using the example of the heavy Fermion superconductor CePt$_3$Si, we determine characteristic properties of the superconducting instability as a function of (non-magnetic) impurity concentrations. Moreover, we explore the possibility of the presence of accidental line nodes in the quasiparticle gap. Such nodes would be essential to explain recent low-temperature data of thermodynamic quantities such as the NMR-$T_1^{-1}$, London penetration depth, and heat conductance.



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We develop a microscopic and gauge-invariant theory for collective modes resulting from the phase of the superconducting order parameter in non-centrosymmetric superconductors. Considering various crystal symmetries we derive the corresponding gauge mode $omega_{rm G}({bf q})$ and find, in particular, new Leggett modes $omega_{rm L}({bf q})$ with characteristic properties that are unique to non-centrosymmetric superconductors. We calculate their mass and dispersion that reflect the underlying spin-orbit coupling and thus the balance between triplet and singlet superconductivity occurring simultaneously. Finally, we demonstrate the role of the Anderson-Higgs mechanism: while the long-range Coulomb interaction shifts $omega_{rm G}({bf q})$ to the condensate plasma mode $omega_{rm P}({bf q})$, it leaves the mass $Lambda_0$ of the new Leggett mode unaffected and only slightly modifies its dispersion.
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Neutron crystal-field spectroscopy experiments in the Y- and La-type high-temperature superconductors HoBa2Cu3O6.56, HoBa2Cu4O8, and La1.81Sr0.15Ho0.04CuO4 are reviewed. By this bulk-sensitive technique, information on the gap function is obtained from the relaxation behavior of crystal-field transitions associated with the Ho3+ ions which sit as local probes close to the superconducting copper-oxide planes. The relaxation data exhibit a peculiar change from a convex to a concave shape between the superconducting transition temperature Tc and the pseudogap temperature T* which can only be modelled satisfactorily if the gap function of predominantly d-wave symmetry includes an s-wave component of the order of 20-25%, independent of the doping level. Moreover, our results are compatible with an unusual temperature dependence of the gap function in the pseudogap region (Tc<T<T*), i.e., a breakup of the Fermi surface into disconnected arcs.
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