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Exciton condensate is a vast playground in studying a number of symmetriesthat are of high interest in the recent developments in topological condensedmatter physics. In DQWs they pose highly nonconventional properties due to thepairing of non identical fermions with a spin dependent order parameter. Here,we demonstrate a new feature in these systems: the robustness of the groundstate to weak external B-field and the appearance of the artificial spinorgauge fields beyond a critical field strength where, negative energypair-breaking quasi particle excitations are created in certain $k$ regions(DX-pockets). The DX-pockets are the Kramers symmetry broken analogs of thenegative energy pockets examined in the 60s by Sarma, where they principallydiffer from the latter in their non-degenerate energy bands due to the absenceof the time reversal symmetry. They respect a disk or a shell-topology in$k$-space or a mixture between them depending on the B-field strength and theelectron-hole mismatch. The Berry connection between the artificial flux andthe TKNN number is made. The artificial spinor gauge field describes acollection of pure spin vortices in real space when the B-field has onlyinplane components.

Robust Ground State and Artificial Gauge in DQW Exciton Condensates under Weak Magnetic Field