Exchange interaction and stability diagram of coupled quantu(12)

The charge stability diagram for two coupled quantum dots containing up to two electrons is computed in magnetic fields. One- and two-particle Schroedinger equations are solved by exact diagonalization to obtain the chemical potentials and exchange energy

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VR [meV]25

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21VL [meV]FIG.3:(Coloronline)Contourplotsofthechemicalpotentialsµ(1)andµS(2)asfunctionsofVLandVRford=50nm(red)andd=60nm(blue).Theturningpointsonthecontourlinesareindicatedbysoliddotsandthedottedlineisaguidefortheeyesalongthemaindiagonal(VL=VR).Thenumbersontheleft(right)withinparenthesesgivetheelectronnumberintheleft(right)dot[the(0,0)regionislocatedatthelowerleftcornerbelowtheµ(1)branchford=50nm].