Transient dynamics and quantum phase diagram for the square lattice Rashba-Hubbard model at arbitrary hole doping

Adding a Rashba term to the Hubbard Hamiltonian produces model which can be used learn how spin-orbit interactions impact correlated electrons on lattice. Previous works have studied such using variety of theoretical frameworks, mainly close half filling. In this work, we determine magnetic phase diagram for Rashba-Hubbard arbitrary hole doping sine-square deformed lattice mean-field with an unrestricted Ansatz, thus suppressing finite-size effects and allowing inhomogeneous order. We find that introduction coupling significantly alters ground-state properties observe increasing complexity composition strength. also introduce gradual envelope (GDE) technique building methodology facilitate convergence towards ordered defect-free configurations is challenge ansatz at high interaction strengths. use GDE lowers free energy obtained configurations. Moreover, consider transient dynamics in by quenching quench within allows simulation quasiopen systems zero-energy edge states as particle reservoir. Interaction quenches filling show tendency quench-induced spatial spin-magnitude inhomogeneity nonequilibrium system magnetization lower than equilibrium predictions, possibly related buildup nonlocal correlations