Electron-electron correlations in a dynamical impurity system with a Fermi edge singularity

2012/12/09 by Izak Snyman, I. Snyman · 2 citations
Mathematics · Physics and Astronomy · #Condensed matter physics #Electron #Fermi energy #Fermi gas #Fermi level #Geometry #Impurity #Mathematics #Physics #Physics of Superconductivity and Magnetism #Power law #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Singularity #cond-mat.str-el

paper · pdf · doi:10.1103/physrevb.87.165135

published in Physical Review B 87(16) (American Physical Society) · 9 pages

arxiv created 2012/12/09 · openalex publication_date 2013/04/26 · arxiv updated 2013/08/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study spatial correlations in the ground state of a one-dimensional electron gas coupled to a dynamic quantum impurity. The system displays a nontrivial many-body effect known as the Fermi edge singularity: transitions between discrete internal states of the impurity have a power-law dependence on the internal energies of the impurity states. We present compact formulas for the static current-current correlator and the pair-correlation function. These reveal that spatial correlations induced by the impurity decay slowly (as the third inverse power of distance) and have a power-law energy dependence, characteristic of the Fermi edge singularity.

Citations

• Polarization of a Charge Qubit Strongly Coupled to a Voltage-Driven Quantum Point Contact
• X-ray edge singularity in optical spectra of quantum dots
• Fermi-Edge Resonance and Tunneling in Nonequilibrium Electron Gas
• Few-electron quantum dot circuit with integrated charge read out
• Exact Solution of a Many-Fermion System and Its Associated Boson Field
• Gradient Catastrophe and Fermi-Edge Resonances in Fermi Gas
• Dynamics of the dissipative two-state system