Semiconductors for spin qubits
True or False: A small effective mass means that a quantum dot has to be smaller in order to demonstrate quantum confinement.
False.
Generally the confinement energy of a particle in a box or a 1-d harmonic oscillator generally includes a kinetic energy operator ħ2k2/2m in which k is inversely proportional to the length scale of the confinement potential, making the mass smaller means that k can be smaller, i.e. the quantum dot can be larger. Note however that the electrostatic energy of adding a charged particle to the quantum dot is usually larger than the separation between energy levels coming from confinement.