Analytical calculation of Rashba spin-splitting on the GaAs-based quantum dots in the twodimensionalparabolic confinement. It has been investigated the spin splitting due to the Zeeman effectand a Rashba-type spin-orbit coupling on a disk-like GaAs-based quantum dot. Calculations weredone analytically considering the influence of an external magnetic field applied perpendicularly tothe dot. The result shows that spin-orbit interaction causes a “crossing†on the electron energy statesin the dot with the same angular momentum and different spin polarizations in a nonzero magneticfield. The calculated magnitudes of spin splitting and magnetic fields at the crossing level can be usedto discuss more realistic quantum dots model theoretically on the further research.Keywords: Rashba spin-orbit coupling, GaAs-based quantum dots, crossing levels
                        
                        
                        
                        
                            
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