Nonlinear optical responses in noncentrosymmetric superconductors

Abstract

The unique nonreciprocal responses of superconductors, which stem from the Cooper pairs' quantum condensation, have been attracting attention. Recently, theories of the second-order nonlinear response in noncentrosymmetric superconductors were formulated based on the Bogoliubov-de Gennes theory. In this paper, we study the mechanism and condition for second-order optical responses of time-reversal symmetric superconductors. The numerical results show the characteristic photocurrent and second harmonic generation in the superconducting state. However, the superconductivity-induced nonlinear optical responses disappear under some conditions on pair potential. We show that the coexistence of intraband and interband pairing is necessary for the second-order superconducting optical responses. In addition, the superconducting Berry curvature factor, which is related to a component of Berry curvature in the superconducting state, is essential for the nonlinear responses. Thus, we derived the microscopic conditions where the superconducting nonlinear response appears.

arXiv comment21 pages and 9 figures

References in corpus (34)

• New directions in the pursuit of Majorana fermions in solid state systems
• Evidence of Ising pairing in superconducting NbSe${}_2$ atomic layers
• Superconducting 2D system with lifted spin degeneracy: Mixed singlet-triplet state
• Two Dimensional Ising Superconductivity in Gated MoS${}_2$
• Observation of the nonlinear Hall effect under time reversal symmetric conditions
• Superconductivty without inversion symmetry: MnSi versus CePt_3Si
• Superconductivity protected by spin-valley locking in ion-gated MoS2
• Superconductivity and spin-orbit coupling in non-centrosymmetric materials: a review
• Higgs Amplitude Mode in BCS Superconductors Nb${}_{1-x}$Ti${}_x$N induced by Terahertz Pulse Excitation
• Tuning Ising superconductivity with layer and spin-orbit coupling in two-dimensional transition-metal dichalcogenides
• Electrically Tunable Low Density Superconductivity in a Monolayer Topological Insulator
• Majorana Fermions and Topology in Superconductors
• Intrinsic Superconducting Diode Effect
• Supercurrent diode effect and finite momentum superconductivity
• Semimetals for high performance photodetection
• A phenomenological theory of superconductor diodes
• Low-frequency divergence and quantum geometry of the bulk photovoltaic effect in topological semimetals
• Magnetically Switchable Light-Matter Interaction in the Two-Dimensional Magnet CrI3
• A global inversion-symmetry-broken phase inside the pseudogap region of YBa${}_2$Cu${}_3$O${}_y$
• Non-linear optical effects and third-harmonic generation in superconductors: Cooper-pairs vs Higgs mode contribution
• Chiral photocurrent in parity-violating magnet and enhanced response in topological antiferromagnet
• Nonreciprocal charge transport in two-dimensional noncentrosymmetric superconductors
• Consequences of Time-reversal-symmetry Breaking in the Light-Matter Interaction: Berry Curvature, Quantum Metric and Diabatic Motion
• Nonreciprocal current in noncentrosymmetric Rashba superconductors
• Identifying detrimental effects for multi-orbital superconductivity - Application to Sr${}_2$RuO${}_4$
• Difference frequency generation in topological semimetals
• Superconductivity and Magnetism in Non-centrosymmetric System: Application to CePt_3Si
• Tailoring $T_c$ by symmetry principles: The concept of Superconducting Fitness
• Nonreciprocal Terahertz Second Harmonic Generation in Superconducting NbN under Supercurrent Injection
• Nonlinear optical effects in inversion-symmetry-breaking superconductors
• Theory of optical responses in clean multi-band superconductors
• Nonreciprocal optical response in parity-breaking superconductors
• Anomalous mirror symmetry breaking in a model insulating cuprate Sr${}_2$CuO${}_2$Cl${}_2$
• The shift photovoltaic current and magnetically-induced bulk photocurrent in piezoelectric sillenite crystals

Cited by in corpus (12)

• Nonlinear optical responses and quantum geometry in rhombohedral trilayer graphene
• Magnetic parity violation and parity-time-reversal-symmetric magnets
• Second-order optical response of superconductors induced by supercurrent injection
• Nonlinear optical responses in multi-orbital topological superconductors
• Picosecond Trajectory of Two-dimensional Vortex Motion in FeSe${}_{0.5}$Te${}_{0.5}$ Visualized by Terahertz Second Harmonic Generation
• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity
• Optical signatures of Euler superconductors
• Unique properties of the optical activity in noncentrosymmetric superconductors: sum rule, missing area, and relation with the superconducting Edelstein effect
• Vertex correction for the linear and nonlinear optical responses in superconductors: multiband effect and topological superconductivity
• Enhanced detection of circularly polarized photons with topological materials
• Ratchet Hall Effect in Fluctuating Superconductors
• Superconducting Berry Curvature Dipole