Quantum Corrals, Eigenmodes and Quantum Mirages in s-wave Superconductors

Abstract

We study the electronic structure of magnetic and non-magnetic quantum corrals embedded in s-wave superconductors. We demonstrate that a quantum mirage of an impurity bound state peak can be projected from the occupied into the empty focus of a non-magnetic quantum corral via the excitation of the corral's eigenmodes. We observe an enhanced coupling between magnetic impurities inside the corral, which can be varied through oscillations in the corral's impurity potential. Finally, we discuss the form of eigenmodes in magnetic quantum corrals.

4 pages, 4 figures

References in corpus (17)

• Coherent coupling of two quantum dots embedded in an Aharonov-Bohm ring
• Spectral Properties of Quasiparticle Excitations Induced by Magnetic Moments in Superconductors
• Conformal Field Theory Approach to the 2-Impurity Kondo Problem: Comparison with Numerical Renormalization Group Results
• The local spectrum of a superconductor as a probe of interactions between magnetic impurities
• Scattering Theory of Kondo Mirages and Observation of Single Kondo Atom Phase Shift
• Quantum Interference between Impurities: Creating Novel Many-Body States in s-wave Superconductors
• Projecting the Kondo Effect: Theory of the Quantum Mirage
• Many-body theory of the quantum mirage
• Microscopic theory for quantum mirages in quantum corrals
• Two impurities in a d-wave superconductor:local density of states
• Spectroscopic and magnetic mirages of impurities in nanoscopic systems
• Interaction between Kondo impurities in a quantum corral
• Quantum interference between non-magnetic impurities in d_x2-y2-wave superconductors
• A simple interpretation of quantum mirages
• Quantum interference between multiple impurities in anisotropic superconductors
• Mirages and enhanced magnetic interactions in quantum corrals
• Quantum Interference Phenomena Between Impurity States in d-wave Superconductors

Cited by in corpus (14)

• Ab initio study of mirages and magnetic interactions in quantum corrals
• Impurities, Quantum Interference and Quantum Phase Transitions in s-wave superconductors
• Spatially dependent Kondo effect in Quantum Corrals
• Quantum-well states at the surface of the heavy-fermion superconductor URu${}_2$Si${}_2$
• Quantum Corrals and Quantum Mirages on the Surface of a Topological Insulator
• Magnetic impurities in a superconductor: Effect of domain walls and interference
• Quantum Imaging and Selection Rules in Triangular Quantum Corrals
• Magnetic chains on a triplet superconductor
• Quasiparticle states and quantum interference induce by magnetic impurities on a two-dimensional topological superconductor
• Quantum correlations in nanostructured two-impurity Kondo systems
• Zero energy modes in a superconductor with ferromagnetic adatom chains and quantum phase transitions
• Mirage phenomena in superconducting quantum corrals
• Nanoscale Impurity Structures on the Surface of $d_{x^2-y^2}$-wave Superconductors
• Miraging a Majorana