Single Magnetic Impurity in Tilted Dirac Surface States

Abstract

We utilize variational method to investigate the Kondo screening of a spin-1/2 magnetic impurity in tilted Dirac surface states with the Dirac cone tilted along the $k_y$-axis. We mainly study about the effect of the tilting term on the binding energy and the spin-spin correlation between magnetic impurity and conduction electrons, and compare the results with the counterparts in a two dimensional helical metal. The binding energy has a critical value while the Dirac cone is slightly tilted. However, as the tilting term increases, the density of states around the Fermi surface becomes significant, such that the impurity and the host material always favor a bound state. The diagonal and the off-diagonal terms of the spin-spin correlation between the magnetic impurity and conduction electrons are also studied. Due to the spin-orbit coupling and the tilting of the spectra, various components of spin-spin correlation show very strong anisotropy in coordinate space, and are of power-law decay with respect to the spatial displacements.

7 pages, 5 figures

References in corpus (25)

• Type-II Weyl Semimetals
• Prediction of the Weyl semimetal in the orthorhombic MoTe2
• Lorentz-violating type-II Dirac fermions in transition metal dichalcogenide PtTe${}_2$
• MoTe2: A Type-II Weyl Topological Metal
• Tilted anisotropic Dirac cones in quinoid-type graphene and alpha-(BEDT-TTF)_2I_3
• Experimental Realization of Type-II Dirac Fermions in PdTe${}_2$ Superconductor
• Structured Weyl Points in Spin-Orbit Coupled Fermionic Superfluids
• Renormalization-group study of Anderson and Kondo impurities in gapless Fermi systems
• Nontrivial Berry phase and type II Dirac transport in layered material PdTe2
• Electronic properties of 8-Pmmn borophene
• Strain-induced pseudomagnetic field in Dirac semimetal borophene
• Phase transitions in the pseudogap Anderson and Kondo models: Critical dimensions, renormalization group, and local-moment criticality
• RKKY interaction of magnetic impurities in Dirac and Weyl semimetals
• Kondo screening cloud in a one dimensional wire: Numerical renormalization group study
• Upper-critical dimension in a quantum impurity model: Critical theory of the asymmetric pseudogap Kondo problem
• The Screening Cloud in the k-Channel Kondo Model: Perturbative and Large-k Results
• Anomalous Spin Correlations and Mass-Generating Excitonic Instability of Interacting Weyl Fermions
• Coulomb interaction effect in tilted Weyl fermion in two dimensions
• Signature of tilted Dirac cones in Weiss oscillations of $8-Pmmn$ borophene
• Type-II Dirac surface states in topological crystalline insulators
• Anderson Impurity in Helical Metal
• A magnetic Impurity in a Weyl semimetal
• Block Lanczos density-matrix renormalization group method for general Anderson impurity models: Application to magnetic impurity problems in graphene
• Overscreened Kondo effect, (color) superconductivity and Shiba states in Dirac metals and quark matter
• Hybridization and anisotropy in the exchange interaction in 3D Dirac semimetals

Cited by in corpus (4)

• Anisotropic longitudinal optical conductivities of tilted Dirac bands in 1T${}^{\prime }$-MoS${}_2$
• Signatures of Lifshitz transition in the optical conductivity of two-dimensional tilted Dirac materials
• Spatial anisotropy of Kondo screening cloud in a type-II Weyl semimetal
• Tunable correlation effects of magnetic impurities by the cubic Rashba spin-orbit couplings