An Anderson impurity interacting with the helical edge states in a quantum spin Hall insulator
arXiv:2201.05308 · doi:10.1088/0256-307X/35/6/067301
Abstract
Using the natural orbitals renormalization group (NORG) method, we have investigated the screening of the local spin of an Anderson impurity interacting with the helical edge states in a quantum spin Hall insulator. We find that there is a local spin formed at the impurity site and the local spin is completely screened by electrons in the quantum spin Hall insulator. Meanwhile, the local spin is screened dominantly by a single active natural orbital. We then show that the Kondo screening mechanism becomes transparent and simple in the framework of natural orbitals formalism. We project the active natural orbital respectively into real space and momentum space to characterize its structure. And we confirm the spin-momentum locking property of the edge states based on the occupancy of a Bloch state in the edge to which the impurity couples. Furthermore, we study the dynamical property of the active natural orbital represented by the local density of states, from which we observe the Kondo resonance peak.
5 pages, 6 figures
References in corpus (10)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Quantum Spin Hall Insulator State in HgTe Quantum Wells
- The Helical Liquid and the Edge of Quantum Spin Hall Systems
- Kondo effect in the helical edge liquid of the quantum spin Hall state
- Conductance of a helical edge liquid coupled to a magnetic impurity
- Kondo lattice on the edge of a two-dimensional topological insulator
- Kondo effect in graphene with Rashba spin-orbit coupling
- Kondo effect in a quantum wire with spin-orbit coupling
- Interplay of Coulomb interaction and spin-orbit effects in multi-level quantum dots
- Spatial structure of correlations around a quantum impurity at the edge of a two-dimensional topological insulator