From Quantized Hall Plateaus to Topological Surfaces: Quantum Capacitance as a Unifying Probe
Quantum capacitance is an electrostatic probe used to detect density of states signatures imposed by topological invariants in systems like the Quantum Hall Effect and topological insulators. It distinguishes between bulk signatures (Landau levels) and boundary signatures (Dirac surface states), revealing local compressibility and how topology constrains the density of states at the boundary.