2001/08/14 by D. G. Polyakov, Ferdinand Evers, F. Evers +1 · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Quantum, superfluid, helium dynamics #cond-mat.dis-nn #cond-mat.mes-hall
paper · pdf · doi:10.1103/physrevb.65.125326
published as Phys. Rev. B, 65 (2002) 125326 · 9 pages, 4 figures
arxiv created 2001/08/14 · openalex publication_date 2002/03/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the dynamical properties of an electron gas scattered by impenetrable antidots in the presence of a strong magnetic field. We find that the line shape of the cyclotron resonance is very different from the Lorentzian and is not characterized by the Drude scattering rate. We show that the dissipative dynamical response of skipping orbits, Sc(\ensuremathω), is broadened on a scale of the cyclotron frequency \ensuremathωc and has a sharp dip \ensuremath∝|\ensuremathω\ensuremath-\ensuremathωc|. For small antidots, Sc(\ensuremathω) is strongly modulated with a period equal to \ensuremathωc and has sharp square-root singularities for a series of resonant frequencies. For large antidots, Sc(\ensuremathω) has a hard gap at \ensuremathω<\ensuremathωc between two sharp peaks, associated, respectively, with edge states and free cyclotron orbits.