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Ex-so-tic van der Waals heterostructures take advantage of the electricallytunable layer polarization to swap proximity exchange and spin-orbit couplingin the electronically active region. Perhaps the simplest example is Bernalbilayer graphene (BBG) encapsulated by a layered magnet from one side and astrong spin-orbit material from the other. Taking WS$_2$/BBG/Cr$_2$Ge$_2$Te$_6$as a representative ex-so-tronic device, we employ realistic \emph{abinitio}-inspired Hamiltonians and effective electron-electron interactions toinvestigate the emergence of correlated phases within the random phaseapproximation. We find that for a given doping level, exchange and spin-orbitcoupling induced Stoner and intervalley coherence instabilities can be swapped,allowing to explore the full spectrum of correlated phases within a singledevice.

Swapping exchange and spin-orbit induced correlated phases in ex-so-tic van der Waals heterostructures