Planck’s Quantum-Driven Integer Quantum Hall Effect in Chaos
Planck’s Quantum-Driven Integer Quantum Hall Effect in Chaos
We find in a canonical chaotic system, the kicked spin-1/2 rotor, a Planck's quantum(he)-driven phenomenon bearing a close analogy to the integer quantum Hall effect but of chaos origin. Specifically, the rotor's energy growth is unbounded ("metallic" phase) for a discrete set of critical values of he, but otherwise bounded …