Spectral cross correlations of magnetic edge states

Abstract

We observe strong, non-trivial cross-correlations between the edge states found in the interior and the exterior of magnetic quantum billiards. Our analysis is based on a novel definition of the edge state spectral density which is rigorous, practical and semiclassically accessible.

4 pages, 3 figures (high quality version available at http://www.klaus-hornberger.de)

References in corpus (3)

• Periodic Orbit Theory of the circular billiard in homogeneous magnetic fields
• The boundary integral method for magnetic billiards
• Hyperbolic Magnetic Billiards on Surfaces of Constant Curvature

Cited by in corpus (3)

• Husimi functions at dielectric interfaces: Inside-outside duality for optical systems and beyond
• Ballistic quantum transport at high energies and high magnetic fields
• Intermixture of extended edge and localized bulk energy levels in macroscopic Hall systems