Magnetic Impurity Affected by Spin-Orbit Coupling: Behavior near a Topological Phase Transition

Abstract

We investigate the effect of spin-orbit coupling on the behavior of magnetic impurity at the edge of a zigzag graphene ribbon by means of quantum Monte Carlo simulations. A peculiar interplay of Kane-Mele type spin-orbit and impurity-host coupling is found to affect local properties such as the impurity magnetic moment and spectral densities. The special helical nature of the topological insulator on the edge is found to affect nonlocal quantities, such as the two-particle and spin-spin correlation functions linking electrons on the impurity with those in the conduction band.

12 figures. And a shorter version will be published in PRB

References in corpus (6)

• Spin-orbit coupling in curved graphene, fullerenes, nanotubes, and nanotube caps
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Quantum Anomalous Hall Effect in Graphene from Rashba and Exchange Effects
• 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 screening cloud in a one dimensional wire: Numerical renormalization group study

Cited by in corpus (12)

• Colloquium: Topological Band Theory
• Single magnetic impurities in the Kane-Mele model
• Tunable unconventional Kondo effect on topological insulator surfaces
• Probing topological phases in a perturbed Kane-Mele model via RKKY interaction: Application to monolayer jacutingaite Pt${}_2$HgSe${}_3$
• Spatial structure of correlations around a quantum impurity at the edge of a two-dimensional topological insulator
• Controlling spin polarization of a quantum dot via a helical edge state
• An Anderson impurity interacting with the helical edge states in a quantum spin Hall insulator
• Tunable correlation effects of magnetic impurities by the cubic Rashba spin-orbit couplings
• Natural orbitals renormalization group approach to a spin-1/2 impurity interacting with two helical liquids
• In-gap states of magnetic impurity in quantum spin Hall insulator proximitized to a superconductor
• Magnetic correlation between two local spins in a quantum spin Hall insulator
• Kondo screening of spin-charge separated fluxons by a helical liquid