Unique properties of the optical activity in noncentrosymmetric superconductors: sum rule, missing area, and relation with the superconducting Edelstein effect

Abstract

We present general properties of the optical activity in noncentrosymmetric materials, including superconductors. We derive a sum rule of the optical activity in general electric states and show that the summation of the spectrum is zero, which is independent of the details of electric states. The optical activity has a $\delta$-function singularity that vanishes in normal phases. However, the singularity emerges in superconducting phases, corresponding to the Meissner effect in the optical conductivity. The spectrum decreases by the superconducting gap and has a missing area compared to the normal phase. This area is exactly equivalent to the coefficient of the $\delta$-function singularity due to the universal sum rule. Furthermore, the coefficient is exactly equivalent to the superconducting Edelstein effect, which has not yet been observed in experiments. Thus, this measurement of the missing area offers an alternative way to observe the superconducting Edelstein effect.

References in corpus (21)

• Supercurrent diode effect and finite momentum superconductivity
• A phenomenological theory of superconductor diodes
• Nonlinear light-matter interaction at terahertz frequencies
• Monolayer FeSe on SrTiO${}_3$
• Chiral response of twisted bilayer graphene
• Band theory of spatial dispersion in magnetoelectrics
• On the definition of chirality and enantioselective fields
• Theory of optical axion electrodynamics and application to the Kerr effect in topological antiferromagnets
• Optical conductivity of iron-based superconductors
• Nonreciprocal optical response in parity-breaking superconductors
• Optical Activity of Solids from First Principles
• Multipole theory of optical spatial dispersion in crystals
• Nonlinear optical responses in noncentrosymmetric superconductors
• Signature of superconducting states in cubic crystal without inversion symmetry
• Nonreciprocal Meissner response in parity-mixed superconductors
• Superconducting Orbital Magnetoelectric Effect and its Evolution across the Superconductivity Normal Metal Phase Transition
• Direct probing of a large spin-orbit coupling in the FeSe superconducting monolayer on STO: Evidence for nontrivial topological states
• Theory of Optical Activity in Doped Systems with Application to Twisted Bilayer Graphene
• Magnetoelectric polarizability and optical activity: spin and frequency dependence
• Optical activity and transport in twisted bilayer graphene: the essence of spatial dispersion effects
• First-Principles Calculation of the Optical Rotatory Power of Periodic Systems: Modern Theory with Modern Functionals

Cited by in corpus (3)

• Nonlinear Edelstein Effect in Strongly Correlated Electron Systems
• Spin and orbital Edelstein effect in spin-orbit coupled noncentrosymmetric superconductor
• Orbital optical activity in noncentrosymmetric metals and superconductors