Local Raman Spectroscopy of Chiral Majorana Edge Modes in Kitaev Spin Liquids and Topological Superconductors

Abstract

The Raman scattering with local optical excitation from the Majorana edge modes of Kitaev spin liquids and topological superconductors is studied theoretically. Although the effective one-dimensional model is common between these two cases, the coupling to the electromagnetic field is different. It is found that the Raman spectrum at low energy scales with ${\omega }^3$ in Kitaev spin liquids while it shows the gap in topological superconductors. This is in sharp contrast to the infrared absorption, where the spectrum shows the gap in Kitaev spin liquids, while it behaves as $\sim {\omega }^2$ in topological superconductors. This indicates that the electrodynamics of Majorana edge modes depends on their higher-dimensional origins. The realistic estimate of the Raman scattering intensity is given for $\alpha$-RuCl${}_3$ as the candidate for Kitaev spin liquid.

References in corpus (9)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Non-Abelian Topological Order in S-Wave Superfluids of Ultracold Fermionic Atoms
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Scattering Continuum and Possible Fractionalized Excitations in $\alpha$-RuCl${}_3$
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• Raman Scattering Signatures of Kitaev Spin Liquids in A${}_2$ IrO${}_3$ Iridates
• Topological Order and Non-Abelian Statistics in Noncentrosymmetric s-Wave Superconductors
• Optical Responses of Chiral Majorana Edge States in Two-Dimensional Topological Superconductors
• Ultra-high-resolution imaging of moiré lattices and superstructures using scanning microwave impedance microscopy under ambient conditions

Cited by in corpus (4)

• Nonlinear optical responses in superconductors under magnetic fields: quantum geometry and topological superconductivity
• Directly probing the chirality of Majorana edge states
• Majorana Spin Current Generation by Dynamic Strain
• Optical conductivity of the Majorana mode at the s- and d-wave topological superconductor edge