Magnetic-impurity resonance states for different pairing symmetries in twisted bilayer graphene

Abstract

In this work, we study the magnetic-impurity resonance states in superconducting phase of twisted bilayer graphene for different pairing symmetries. Using the two-orbital model proposed by Yuan and Fu in [Phys. Rev. B 98, 045103 (2018)], we find that when the impurity is located at one site of the emergent honeycomb lattice, the spacial distributions of the resonance states will break both the threefold and twofold rotation symmetries of $D_3$ group for pairing symmetries which belong to the irreducible representations of this point group. When the magnetic impurity is located at the center of the emergent honeycomb lattice, the appearance of resonance peak at the position close to the impurity can be considered as a strong evidence of non-$s$-wave pairing.

arXiv comment11 pages, 9 figures

References in corpus (66)

• Topological insulators and superconductors
• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Moire bands in twisted double-layer graphene
• Non-abelian statistics of half-quantum vortices in p-wave superconductors
• Topological superconductors: a review
• Graphene bilayer with a twist: electronic structure
• Observation of Van Hove singularities in twisted graphene layers
• Flat Bands in Slightly Twisted Bilayer Graphene
• Imaging the Effects of Individual Zinc Impurity Atoms on Superconductivity in Bi2Sr2CaCu2O8+delta
• Single Layer Behavior and Its Breakdown in Twisted Graphene Layers
• Continuum Model of the Twisted Bilayer
• Imaging Quasiparticle Interference in Bi2Sr2CaCu2O8+d
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Maximally-localized Wannier orbitals and the extended Hubbard model for the twisted bilayer graphene
• Optical Absorption in Twisted Bilayer Graphene
• Unravelling the intrinsic and robust nature of van Hove singularities in twisted bilayer graphene
• Topological Superconductivity in Twisted Multilayer Graphene
• Interplay of magnetism and high-Tc superconductivity at individual Ni impurity atoms in Bi2Sr2CaCu2O8+d
• Symmetry, maximally localized Wannier states, and low energy model for the twisted bilayer graphene narrow bands
• Quasiparticle Scattering Interference in High Temperature Superconductors
• Numerical studies of confined states in rotated bilayers of graphene
• Model for Metal-Insulator Transition in Graphene Superlattices and Beyond
• Unconventional Superconductivity and Density Waves in Twisted Bilayer Graphene
• Chiral SDW and d + id superconductivity in the magic-angle twisted bilayer-graphene
• Random-matrix theory of Majorana fermions and topological superconductors
• Renormalization-group study of Anderson and Kondo impurities in gapless Fermi systems
• Electronic Structure Theory of Weakly Interacting Bilayers
• Quasi-particle interference and superconducting gap in a high-temperature superconductor Ca2-xNaxCuO2Cl2
• Pairing symmetry of interacting fermions on twisted bilayer graphene superlattice
• Correlations and electronic order in a two-orbital honeycomb lattice model for twisted bilayer graphene
• Kondo Quantum Criticality of Magnetic Adatoms in Graphene
• Josephson current through a nanoscale magnetic quantum dot
• Superfluid density of the $\pm$s-wave state for the iron-based superconductors
• Resonant impurity scattering in the $\pm$s-gap state of the Fe-based superconductors
• Van Hove Singularities and Excitonic Effects in the Optical Conductivity of Twisted Bilayer Graphene
• Coherence factors in a high-Tc cuprate probed by quasi-particle scattering off vortices
• Impurity in a d-wave superconductor: Kondo effect and STM spectra
• Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
• Novel phases in twisted bilayer graphene at magic angles as a result of van Hove singularities and interactions
• Unconventional topological superconductivity and phase diagram for an effective two-orbital model as applied to twisted bilayer graphene
• Persistence of Li Induced Kondo Moments in the Superconducting State of Cuprates
• Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
• Kondo effect in flux phases
• Kondo effect of impurity moments in d-wave superconductors: Quantum phase transition and spectral properties
• Kondo effect in asymmetric Josephson couplings through a quantum dot
• Understanding the Josephson current through a Kondo-correlated quantum dot
• A weak coupling CTQMC study of the single impurity and periodic Anderson models with s-wave superconducting baths
• Strongly bound excitons dominate electronic relaxation in resonantly excited twisted bilayer graphene
• Impurity-induced bound states in iron-based superconductors with s-wave cos(kx)cos(ky) pairing symmetry
• Numerical renormalization group calculation of near-gap peaks in spectral functions of the Anderson model with superconducting leads
• Optical absorption of twisted bilayer graphene with interlayer potential asymmetry
• Universal impurity-induced bound state in topological superfluids
• Overscreening of magnetic impurities in $d_{x^2-y^2}$ wave superconductors
• Magnetic impurity resonance states and symmetry of the superconducting order parameter in iron-based superconductors
• Magnetic and Kohn-Luttinger instabilities near a Van Hove singularity: monolayer versus twisted bilayer graphene
• Marginal Fermi liquid resonance induced by a quantum magnetic impurity in d-wave superconductors
• The Andreev states of a superconducting quantum dot: mean field vs exact numerical results
• Scanning tunneling spectroscopy of a magnetic atom on graphene in the Kondo regime
• Local Quasiparticle States around an Anderson Impurity in a d-Wave Superconductor: Kondo Effects
• Kondo effect in d-wave superconductors
• Gap States in Dilute Magnetic Alloy Superconductors
• Numerical Renormalization Group Study of Kondo Effect in Unconventional Superconductors
• Kondo screening in d-wave superconductors in a Zeeman field and implications for STM spectra of Zn-doped cuprates
• Impurity- and Magnetic-field-induced Quasiparticle States in Chiral $p$-wave Superconductors
• Ground State and Spectral Properties of a Quantum Impurity in d-Wave Superconductors

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• The Landau Level of Fragile Topology
• Nematic superconductivity stabilized by density wave fluctuations: Possible application to twisted bilayer graphene
• Pairing in graphene-based moiré superlattices
• Metal-insulator transition and dominant $d+id$ pairing symmetry in twisted bilayer graphene
• Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle-twisted bilayer-graphene
• Defect-induced band restructuring and length scales in twisted bilayer graphene