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)

References in corpus (6)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• The numerical renormalization group method for quantum impurity systems
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Localized Spins on Graphene

Cited by in corpus (4)

• Magnetic anisotropy effects on quantum impurities in superconducting host
• Spin connection and boundary states in a topological insulator
• Probing surface states of topological insulator: Kondo effect and Friedel oscillation under magnetic field
• Two-Impurity Kondo Model: Spin-Orbit Interactions and Entanglement