Gradient Catastrophe and Fermi Edge Resonances in Fermi Gas
Mesoscale and Nanoscale Physics
2011-04-21 v2 Quantum Gases
Abstract
A smooth spatial disturbance of the Fermi surface in a Fermi gas inevitably becomes sharp. This phenomenon, called {\it the gradient catastrophe}, causes the breakdown of a Fermi sea to disconnected parts with multiple Fermi points. We study how the gradient catastrophe effects probing the Fermi system via a Fermi edge singularity measurement. We show that the gradient catastrophe transforms the single-peaked Fermi-edge singularity of the tunneling (or absorption) spectrum to a set of multiple asymmetric singular resonances. Also we gave a mathematical formulation of FES as a matrix Riemann-Hilbert problem.
Keywords
Cite
@article{arxiv.1011.1993,
title = {Gradient Catastrophe and Fermi Edge Resonances in Fermi Gas},
author = {Eldad Bettelheim and Yitzhak Kaplan and Paul B. Wiegmann},
journal= {arXiv preprint arXiv:1011.1993},
year = {2011}
}