Quantum-dot confinement potentials
Gate voltages shape the confinement potential.
$$H=\frac{\mathbf p^2}{2m^*}+V(\mathbf r)$$
Physical intuition
Gate voltages shape the confinement potential.
Deep dive: physical mechanism
Electrostatic gates define a potential minimum and tunnel barriers in a two-dimensional electron gas.
What is measured experimentally?
Orbital spacing and charge-sensor transitions characterize the dot.
Assumptions, noise and limitations
Actual potentials require self-consistent electrostatics.
Research and simulation exercise
Solve a two-dimensional harmonic dot Hamiltonian.
Connect the ideas
Explore the chapter overview, learning path, and references.