Nonlinear Magneto-Optical Response of $s$- and $d$-Wave Superconductors

Details Nonlinear Magneto-Optical Response of $s$- and $d$-Wave Superconductors Nonlinear Magneto-Optical Response of $s$- and $d$-Wave Superconductors

1995-08-30

arxiv.org/abs/cond-mat/9508141v1

Physics

Condensed Matter

21 pages (REVTeX) with 8 figures (Postscript)

Scientific paper

10.1103/PhysRevB.53.11860

The nonlinear magneto-optical response of $s$- and $d$-wave superconductors is discussed. We carry out the symmetry analysis of the nonlinear magneto-optical susceptibility in the superconducting state. Due to the surface sensitivity of the nonlinear optical response for systems with bulk inversion symmetry, we perform a group theoretical classification of the superconducting order parameter close to a surface. For the first time, the mixing of singlet and triplet pairing states induced by spin-orbit coupling is systematically taken into account. We show that the interference of singlet and triplet pairing states leads to an observable contribution of the nonlinear magneto-optical Kerr effect. This effect is not only sensitive to the anisotropy of the gap function but also to the symmetry itself. In view of the current discussion of the order parameter symmetry of High-T$_c$ superconductors, results for a tetragonal system with bulk singlet pairing for various pairing symmetries are discussed.

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