Magnetic Control of Paired Exciton Vortices in TMD Heterobilayers

Rashba-enabled paired exciton vortices provide a promising platform for programmable phase textures in van der Waals excitonic devices. Here, we develop a predictive analytic onset theory for accessing paired bright–dark interlayer-exciton vortices in a finite MoS₂/WSe₂ disk under a perpendicular magnetic field. The field tunes the bright–dark detuning Δ_bd(B) = E_b(B) − E_d(B) through Zeeman effect, thereby driving the system into or out of the vortex-access regime. Rashba spin-orbit coupling supplies the angular-momentum-changing bright–dark mixing required for vortex formation, and projection onto the lowest vortex-active disk doublet yields a mass-resolved square-root entry threshold incorporating a finite-size confinement floor and a weak detuning-sign asymmetry. Full-disk diagonalization further reveals that the paired-vortex doublet remains spectrally isolated from the nonvortex single-mode sector only within a detuning-dependent spinor-core window associated with a finite-temperature coherence bound. Driven-dissipative complex Gross–Pitaevskii simulations demonstrate that this selected doublet survives under pump, loss, and interactions as a robust nonlinear attractor. Together, the analytic, spectral, thermal, and dynamical criteria establish magnetic control of Δ_bd(B) as a practical route for accessing and stabilizing paired-vortex condensates in finite excitonic devices.