Manifestations of Classical Chaos in the Energy Level Spectrum of a Quantum Well

The electronic energy levels and eigenfunctions of a wide potential well in a double barrier structure with a large tilted magnetic field are investigated in the regime of strong classical chaos. Periodic modulations of the level density are identified and related to distinct unstable closed classical orbits. Single periodic orbits “scar” the wave functions corresponding to regular subsets of energy levels determined by quantizing the classical action. Pronounced features in the tunneling rates into the well provide an experimentally accessible means of studying wave-function scarring.