Exchange interaction and stability diagram of coupled quantu(3)

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

1h(r)=2

cA)+V(r),(4)

C(r1,r2)=e2/ |r1 r2|(5)

HZ=gµB B·Si(6)

i

Here,m =0.067meistheelectrone ectivemass, =13.1isthedielectricconstant,g= 0.44istheg-factorinGaAs,µBistheBohrmagnetonandA=1