Emergence of Orbital-FFLO State and Josephson Vortex Lattice Melting in Layered Ising Superconductors

The interplay between in-plane magnetic fields and the superconducting state in layered Ising superconductors leads to the formation of an orbital Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) state coupled with a Josephson vortex lattice. The melting of this Josephson vortex lattice drives a first-order phase transition in the superconducting state.