Quantum corrections to the conductivity and periodic orbits: Integrable systems

✍ Scribed by Gregor Hackenbroich; Felix von Oppen

• Publisher: John Wiley and Sons
• Year: 2010
• Tongue: English
• Weight: 718 KB
• Volume: 508
• Category: Article
• ISSN: 0003-3804
• DOI: 10.1002/andp.2065080805

✦ Synopsis

We extend the recently developed semiclassical theory for the conductivity to periodic semiconductor structures whose classical dynamics is integrable. We find that the conductivity of integrable systems exhibits quantum oscillations as function of magnetic field and Fermi energy which are closely related to both the Shubnikov-de Haas oscillations and the oscillations observed in the conductivity of antidot lattices. A general expression for the quantum oscillations is derived which is analogous to the Berry-Tabor formula for the spectral density of integrable systems.