Persistent currents in quantum chaotic systems

PERSISTENT CURRENTS and MAGNETIZATION in TWO-DIMENSIONAL MAGNETIC QUANTUM SYSTEMS

Persistent currents and magnetization are considered for a two-dimensional electron (or gas of electrons) coupled to various magnetic fields. Thermodynamic formulae for the magnetization and the persistent current are established and the “classical” relationship between current and magnetization is shown to hold for systems invariant both by translation and rotation. Applications are given, inc...

Superpersistent currents and whispering gallery modes in relativistic quantum chaotic systems

Persistent currents (PCs), one of the most intriguing manifestations of the Aharonov-Bohm (AB) effect, are known to vanish for Schrödinger particles in the presence of random scatterings, e.g., due to classical chaos. But would this still be the case for Dirac fermions? Addressing this question is of significant value due to the tremendous recent interest in two-dimensional Dirac materials. We ...

Oscillatory persistent currents in self-assembled quantum rings.

We report the direct measurement of the persistent current carried by a single electron by means of magnetization experiments on self-assembled InAs/GaAs quantum rings. We measured the first Aharonov-Bohm oscillation at a field of 14 T, in perfect agreement with our model based on the structural properties determined by cross-sectional scanning tunneling microscopy measurements. The observed os...

Persistent and Radiation-Induced Currents in Distorted Quantum Rings

Dynamics of quantum trajectories in chaotic systems

– Quantum trajectories defined in the de Broglie–Bohm theory provide a causal way to interpret physical phenomena. In this Letter, we use this formalism to analyze the short time dynamics induced by unstable periodic orbits in a classically chaotic system, a situation in which scars are known to play a very important role. We find that the topologies of the quantum orbits are much more complica...