Fermi-Edge Singularities in the Mesoscopic X-Ray Edge Problem
arXiv:cond-mat/0402207 · doi:10.1103/PhysRevLett.93.176807
Abstract
We study the x-ray edge problem for a chaotic quantum dot or nanoparticle displaying mesoscopic fluctuations. In the bulk, x-ray physics is known to produce deviations from the naively expected photoabsorption cross section in the form of a peaked or rounded edge. For a coherent system with chaotic dynamics, we find substantial changes and in particular that a photoabsorption cross section showing a rounded edge in the bulk will change to a slightly peaked edge on average as the system size is reduced to a mesoscopic (coherent) scale.
4 pages, 3 figures, final version as published in PRL
References in corpus (11)
- The Statistical Theory of Quantum Dots
- Quantum Effects in Coulomb Blockade
- Spectroscopy of discrete energy levels in ultrasmall metallic grains
- Magnetic-field-induced singularities in spin dependent tunneling through InAs quantum dots
- Spatial Correlation in Quantum Chaotic Systems with Time-reversal Symmetry: Theory and Experiment
- Shifts of Random Energy Levels by a Local Perturbation
- Many-body Correlation Effects in the Ultrafast Nonlinear Optical Response of Confined Fermi Seas
- Anderson Orthogonality Catastrophe in Disordered Systems
- Dissipation and Tunnelling in Quantum Hall Bilayers
- Orthogonality Catastrophe in Parametric Random Matrices
- Parametric spectral correlations in disordered and chaotic structures
Cited by in corpus (9)
- Orthogonality catastrophe and Kondo effect in graphene
- Multiple Core-Hole Coherence in X-Ray Four-Wave-Mixing Spectroscopies
- Fermi Edge Singularities in the Mesoscopic Regime: I. Anderson Orthogonality Catastrophe
- Exponential Orthogonality Catastrophe at the Anderson Metal-Insulator Transition
- Fermi-edge singularity in the vicinity of the resonant scattering condition
- Fermi Edge Singularities in the Mesoscopic Regime: II. Photo-absorption Spectra
- Photoabsorption spectra and the X-ray edge problem in graphene
- Microscopic bosonization of band structures: X-ray processes beyond the Fermi edge
- Anderson orthogonality catastrophe in realistic quantum dots