Microscopic theory for quantum mirages in quantum corrals

Abstract

Scanning tunneling microscopy permits to image the Kondo resonance of a single magnetic atom adsorbed on a metallic surface. When the magnetic impurity is placed at the focus of an elliptical quantum corral, a Kondo resonance has been recently observed both on top of the impurity and on top of the focus where no magnetic impurity is present. This projection of the Kondo resonance to a remote point on the surface is referred to as quantum mirage. We present a quantum mechanical theory for the quantum mirage inside an ideal quantum corral and predict that the mirage will occur in corrals with shapes other than elliptical.

References in corpus (4)

• Theory of the Fano Resonance in the STM Tunneling Density of States due to a Single Kondo Impurity
• Theory of Scanning Tunneling Spectroscopy of a Magnetic Adatom on a Metallic Surface
• Projecting the Kondo Effect: Theory of the Quantum Mirage
• Kondo effect in mesoscopic systems

Cited by in corpus (24)

• Theory of Quantum Corrals and Quantum Mirages
• Controlling the Kondo Effect in CoCu_n Clusters Atom by Atom
• Mirages and many-body effects in quantum corrals
• Impurities, Quantum Interference and Quantum Phase Transitions in s-wave superconductors
• First-principles Calculation of the Single Impurity Surface Kondo Resonance
• Many-body theory of the quantum mirage
• Relevance of complete Coulomb interaction matrix for the Kondo problem: Co impurity on Cu(111)
• Single-Atom Gating of Quantum State Superpositions
• Spectroscopic and magnetic mirages of impurities in nanoscopic systems
• Spatially dependent Kondo effect in Quantum Corrals
• Interaction between Kondo impurities in a quantum corral
• Quantum Corrals, Eigenmodes and Quantum Mirages in s-wave Superconductors
• One- and many-body effects on mirages in quantum corrals
• Mirages and enhanced magnetic interactions in quantum corrals
• Quantum corral wave function engineering
• Quantum Imaging and Selection Rules in Triangular Quantum Corrals
• Line shape in the mirage experiment
• Quantum correlations in nanostructured two-impurity Kondo systems
• Static and dynamical properties of elliptic quantum corrals
• Mirage phenomena in superconducting quantum corrals
• Kondo temperature when the Fermi level is near a step in the conduction density of states
• Magnetic properties of Quantum Corrals from first principles calculations
• Nanoscale Impurity Structures on the Surface of $d_{x^2-y^2}$-wave Superconductors
• Miraging a Majorana