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Spin-blockaded electronic transport across a double quantum dot (DQD) systemrepresents an important advancement in the area of spin-based quantuminformation. The basic mechanism underlying the blockade is the formation of ablocking triplet state. The bistability of the leakage current as a function ofthe applied magnetic field in this regime is believed to arise from the effectof nuclear Overhauser fields on spin-flip transitions between the blockingtriplet and the conducting singlet states. The objective of this paper is topresent the nuances of considering a two bath model on the experimentallyobserved current bistability by employing a self consistent simulation of thenuclear spin dynamics coupled with the electronic transport of the DQD set up.In doing so, we first discuss the important subtleties involved in themicroscopic derivation of the hyperfine mediated spin flip rates. We then giveinsights as to how the differences between the two nuclear baths and theresulting difference Overhauser field affect the two-electron states of theDQD, and their connection with the experimentally observed current hysteresiscurve.

Role of dual nuclear baths on spin blockade leakage current bistabilities