Quantum chaos with non-periodic, complex orbits in the Resonant Tunneling Diode

Abstract

We show that a special type of orbits, which are non-periodic and complex, 'Saddle Orbits' (SOs) describe accurately the quantal and experimental current oscillations in the Resonant Tunneling Diode in tilted fields. This is the first demonstration that one needs to abandon the periodic orbits (POs) paradigm in favour of this new and peculiar type of orbit. The SOs solve the puzzle of broad regions of experimental oscillations where we find no real or complex PO that can explain the data. The SOs succeeds in regimes involving several non-isolated POs, where PO formulas fail.

3 pages, 5 figures

References in corpus (3)

• Semiclassical theory of magnetotransport through a chaotic quantum well
• Semiclassical description of resonant tunneling
• Periodic Orbit theory for Resonant Tunneling Diodes : comparison with quantum and experimental results

Cited by in corpus (11)

• Prevalence of marginally unstable periodic orbits in chaotic billiards
• Bifurcations and chaos in semiconductor superlattices with a tilted magnetic field
• The Statistics of Chaotic Tunnelling
• Chaos in Quantum Dots: Dynamical Modulation of Coulomb Blockade Peak Heights
• Semiclassical Theory of Coulomb Blockade Peak Heights in Chaotic Quantum Dots
• Exact Green's function for rectangular potentials and its application to quasi-bound states
• Ghost orbits in the diamagnetic hydrogen spectrum using harmonic inversion
• Classical orbit bifurcation and quantum interference in mesoscopic magnetoconductance
• Existence and characterization of stable ghost orbits in the Henon map
• $\hslash$ corrections in semi-classical formula for smooth chaotic dynamics
• Semiclassical Gaussian matrix elements for chaotic quantum wells