Quantum impurity on the surface of a topological insulator

Abstract

It is shown that the Hamiltonian for a quantum magnetic impurity on the surface of a topological insulator can be mapped to the conventional pseudo-gap Anderson impurity model, albeit with the combinations of continuum states which hybridize with the impurity having more complex structure in the reciprocal and spin space. If the Fermi level is away from the Dirac point, the impurity is predicted to be fully screened at low enough temperatures, i.e., there are no residual degrees of freedom.

4 pages; update to correspond to the published version + some typos corrected (missing minus sign in the transformation matrix)

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Cited by in corpus (35)

• Topological insulators and superconductors
• The Physics of Kondo Impurities in Graphene
• Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
• Emulating heavy fermions in twisted trilayer graphene
• Magnetic anisotropy effects on quantum impurities in superconducting host
• The Kondo effect in the presence of the Rashba spin-orbit interaction
• Kondo effect on the surface of 3D topological insulators: Signatures in scanning tunneling spectroscopy
• Local moment formation and Kondo screening in impurity trimers
• Kondo effect and non-Fermi liquid behavior in Dirac and Weyl semimetals
• Magnetic and defect probes of the SmB${}_6$ surface state
• Spin connection and boundary states in a topological insulator
• Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field
• Kondo effect in the presence of spin-orbit coupling
• Kondo effect in graphene with Rashba spin-orbit coupling
• Kondo Signatures of a Quantum Magnetic Impurity in Topological Superconductors
• Nontrivial interplay of strong disorder and interactions in quantum spin-Hall insulators doped with dilute magnetic impurities
• Quantum phase transitions and thermodynamics of the power-law Kondo model
• Tunable unconventional Kondo effect on topological insulator surfaces
• Suppression of the Kondo Resistivity Minimum in Magnetic Topological Insulators
• Quantum impurity in the bulk of topological insulator
• Spatial structure of correlations around a quantum impurity at the edge of a two-dimensional topological insulator
• Kondo screening by the surface modes of a strong topological insulator
• Kondo Spin Screening Cloud in Two-dimensional Electron Gas with Spin-orbit Couplings
• Kondo screening regimes in multi-Dirac and Weyl systems
• Electrical and thermoelectrical transport in Dirac fermions through a quantum dot
• Kondo effect in a non-Hermitian, $\mathcal{P}\mathcal{T}$-symmetric Anderson model with Rashba spin-orbit coupling
• Critical quasiparticles in single-impurity and lattice Kondo models
• Nested Defects on the Boundary of Topological Superconductors
• Deformation of the Fermi Surface and Anomalous Mass Renormalization by Critical Spin Fluctuations through Asymmetric Spin-Orbit Interaction
• Two-Impurity Kondo Model: Spin-Orbit Interactions and Entanglement
• Programmable Kondo Effect Formed by Landau Levels
• Kondo screening in two-dimensional $p$-type transition-metal dichalcogenides
• Transmission of charge and spin in a topological-insulator-based magnetic structure
• Tunable magnetic anisotropy from higher-harmonics exchange scattering on the surface of a topological insulator
• Anderson Impurities In Edge States with Nonlinear and Dissipative Perturbations