Semiclassical theory of wave-packet dynamics for quasiparticles in spin-orbit coupled superconductors

Spin-orbit coupling is a crucial ingredient for achieving topological superconductivity with or without the proximity effect. This is because the broken spin degeneracy on the Fermi surface can lead to effective spin-triplet Cooper pairs. However, recently there has been a marked interest in systems with strong spin-orbit coupling and intrinsic superconductivity, such as transition metal dichalcogenide NbSe₂, which is an Ising superconductor. Here we present a semiclassical theory of wave-packet dynamics for quasiparticles in 2D superconductors with strong spin-orbit coupling. We focus on superconductors with Rashba or Ising spin-orbit coupling and study the spectroscopic and transport properties of quasiparticles. Finally, we discuss possible experimental signatures in promising platforms for topological superconductivity, such as a proximitized 3D topological insulator and monolayer transition metal dichalcogenides.