Many-body theory of the quantum mirage

Abstract

In recent scanning tunneling microscopy experiments, confinement in an elliptical corral has been used to project the Kondo effect from one focus to the other one. I solve the Anderson model at arbitrary temperatures, for an impurity hybridized with eigenstates of an elliptical corral, each of which has a resonant level width delta. This width is crucial. If delta < 20 meV, the Kondo peak disappears, while if delta > 80 meV, the mirage disappears. For particular conditions, a stronger mirage with the impurity out of the foci is predicted.

5 pages, 5 figures. Some clarifications of the method added, and a reference included to show that the hybridization of the impurity with bulk states can be neglected

Cited by in corpus (29)

• Theory of Quantum Corrals and Quantum Mirages
• Quantum Interference between Impurities: Creating Novel Many-Body States in s-wave Superconductors
• Mirages and many-body effects in quantum corrals
• Nonequilibrium magnetotransport through a quantum dot: An interpolative perturbative approach
• Kondo impurities in nanoscopic systems: new confinement-induced regimes
• Impurities, Quantum Interference and Quantum Phase Transitions in s-wave superconductors
• Single-Atom Gating of Quantum State Superpositions
• Spectral density of an interacting dot coupled indirectly to conducting leads
• Spectroscopic and magnetic mirages of impurities in nanoscopic systems
• Persistent currents in mesoscopic rings with a quantum dot
• Spatially dependent Kondo effect in Quantum Corrals
• Heat current across a capacitively coupled double quantum dot for high magnetic field
• Interaction between Kondo impurities in a quantum corral
• Quantum Corrals, Eigenmodes and Quantum Mirages in s-wave Superconductors
• Quantum interference between non-magnetic impurities in d_x2-y2-wave superconductors
• One- and many-body effects on mirages in quantum corrals
• Mirages and enhanced magnetic interactions in quantum corrals
• Quantum Corrals and Quantum Mirages on the Surface of a Topological Insulator
• Quantum corral wave function engineering
• Detection and Cloaking of Molecular Objects in Coherent Nanostructures Using Inelastic Electron Tunneling Spectroscopy
• Quantum Imaging and Selection Rules in Triangular Quantum Corrals
• Line shape in the mirage experiment
• Quantum correlations in nanostructured two-impurity Kondo systems
• Scanning tunneling microscopy of adsorbed molecules on metalic surfaces for nearly localized atomic states
• Static and dynamical properties of elliptic quantum corrals
• Kondo temperature when the Fermi level is near a step in the conduction density of states
• Nanoscale Impurity Structures on the Surface of $d_{x^2-y^2}$-wave Superconductors
• Zero-field splitting of the Kondo resonance and quantum criticality in triple quantum dots
• Miraging a Majorana