RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
arXiv:1909.03406 · doi:10.1063/5.0008129
Abstract
Motivated by the research interests on realizing flat bands and magnetization plateaus in kagome lattices, we study the electronic properties and magnetic interactions in both zero- and one-dimensional triangular Kagome lattice (1D-TKL) models, by using the real-space Greens function approach in tight-binding model. We firstly study the electronic properties of both 0D and 1D-TKL in the presence of staggered sublattice potential, then, by analyzing the Ruderman-Kittel-Kasuya-Yoshida (RKKY) interaction in these lattice structures, the magnetic ground states of both 0D and 1D-TKL in the presence of two magnetic adatoms are evaluated. It is found that the 1D channels of TKL show different electronic and magnetic behaviors due to different values of the hopping integrals and spin-orbit couplings. Two important salient features of these TKLs are the presence of flat bands in their band structure as well as the emergence of the RKKY plateaus versus the Fermi energy. These RKKY plateaus have not been reported before, to the best of our knowledge. The most remarkable observation is the potential and Fermi energy variation of the width and location of the RKKY plateaus in both 0D and 1D TKLs. The spatial configurations of the magnetic impurities can also dramatically change the quality and quantity of the RKKY plateaus. We believe that our results provide significant insights towards designing further experiments to search for the realizing of the flat bands and magnetization plateau phases in spintronics and pseudospin electronics devices based on TKLs.
arXiv comment12 pages, 13 figures
References in corpus (129)
- Magic-angle graphene superlattices: a new platform for unconventional superconductivity
- Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
- Experimental Realization of Two-Dimensional Boron Sheets
- Magnetism in Graphene Induced by Single-Atom Defects
- Magnetic Pyrochlore Oxides
- High temperature fractional quantum Hall states
- Controlling Spin Exchange Interactions of Ultracold Atoms in Optical Lattices
- Fractional quantum Hall states at zero magnetic field
- Emergent electrodynamics of skyrmions in a chiral magnet
- Ionic high-pressure form of elemental boron
- Nearly-flat bands with nontrivial topology
- Novel Precursors for Boron Nanotubes: The Competition of Two-Center and Three-Center Bonding in Boron Sheets
- Spin-half paramagnetism in graphene induced by point defects
- Magnetism in graphene nano-islands
- Skyrmion lattice with a giant topological Hall effect in a frustrated triangular-lattice magnet
- Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
- Observation of a localized flat-band state in a photonic Lieb lattice
- Phosphorene nanoribbons, nanotubes and van der Waals multilayers
- Disorder Induced Localized States in Graphene
- Herbertsmithite and the Search for the Quantum Spin Liquid
- Topological insulator on the kagome lattice
- Flat bands and Wigner crystallization in the honeycomb optical lattice
- Colloquium: Artificial spin ice: Designing and imaging magnetic frustration
- Magnetic nanographite
- Ultracold Atoms in a Tunable Optical Kagome Lattice
- Negative flat band magnetism in a spin-orbit coupled correlated kagome magnet
- Experimental realization and characterization of an electronic Lieb lattice
- Skyrmion-electronics: Writing, deleting, reading and processing magnetic skyrmions toward spintronic applications
- From Nagaoka's ferromagnetism to flat-band ferromagnetism and beyond: An introduction to ferromagnetism in the Hubbard model
- Skyrmion phase and competing magnetic orders on a breathing kagome lattice
- Band touching from real space topology in frustrated hopping models
- First excitations of the spin 1/2 Heisenberg antiferromagnet on the kagomé lattice
- Probing the Synthesis of Two-Dimensional Boron by First-Principles Computations
- Macroscopic magnetization jumps due to independent magnons in frustrated quantum spin lattices
- Bosonic Condensation and Disorder-Induced Localization in a Flat Band
- Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice
- Multi-Component Quantum Gases in Spin-Dependent Hexagonal Lattices
- Topological states in engineered atomic lattices
- Local defects and ferromagnetism in graphene layers
- Properties of an algebraic spin liquid on the kagome lattice
- Organic Topological Insulators in Organometallic Lattices
- RKKY in half-filled bipartite lattices: graphene as an example
- Intrinsic Quantum Anomalous Hall Effect in the Kagome Lattice Cs2LiMn3F12
- Diluted Graphene Antiferromagnet
- Flat Chern Band in a Two-Dimensional Organometallic Framework
- Electrically controllable surface magnetism on the surface of topological insulator
- Theoretical prediction of a strongly correlated Dirac metal
- Exotic electronic states in the world of flat bands: from theory to material
- Detangling Flat Bands into Fano Lattices
- RKKY Interaction in Graphene from Lattice Green's Function
- Classification of flat bands according to the band-crossing singularity of Bloch wave functions
- Ordering of magnetic impurities and tunable electronic properties of topological insulators
- RKKY coupling in graphene
- Twisted exchange interaction between localized spins embedded in a one- or two-dimensional electron gas with Rashba spin-orbit coupling
- Compact localized states and flatband generators in one dimension
- Magnetization plateaus in frustrated antiferromagnetic quantum spin models
- Projected wave function study of Z2 spin liquids on the kagome lattice for the spin-1/2 quantum Heisenberg antiferromagnet
- Magnetic Properties of the Spin-1/2 Ferromagnetic-Ferromagnetic-Antiferromagnetic Trimerized Heisenberg Chain:
- Magnetization Curves of Antiferromagnetic Heisenberg Spin-1/2 Ladders
- RKKY Interaction in Graphene Calculated Following Ruderman and Kittel
- RKKY interaction in graphene
- Phosphorene nanoribbons
- Chiral Flat Bands: Existence, Engineering and Stability
- Ground-State Energy and Spin Gap of Spin-1/2 Kagome Heisenberg Antiferromagnetic Clusters: Large Scale Exact Diagonalization Results
- Hofstadter butterflies for flat bands
- Quantum magnetism in two dimensions: From semi-classical Néel order to magnetic disorder
- Magnetization Process of the S=1 and 1/2 Uniform and Distorted Kagome Heisenberg Antiferromagnets
- A simple method to construct Flat Band lattices
- Analytical Expression for the RKKY Interaction in Doped Graphene
- Landau-Zener Bloch oscillations with perturbed flat bands
- Classical Spin Liquid: Exact Solution for the Infinite-Component Antiferromagnetic Model on the Kagomé Lattice
- The Heisenberg antiferromagnet on the kagome lattice with arbitrary spin: A high-order coupled cluster treatment
- Magnetization plateaus as insulator-superfluid transitions in quantum spin systems
- Dirac Cones, Topological Edge States, and Nontrivial Flat Bands in Two-Dimensional Semiconductors with a Honeycomb Nanogeometry
- Observation of flat band for terahertz spoof plasmon in metallic kagomé lattice
- RKKY interaction in carbon nanotubes and graphene nanoribbons
- Edge states and flat bands in graphene nanoribbons with arbitrary geometries
- Topological Invariants for Polyacetylene, Kagome and Pyrochlore lattices
- Boson and fermion dynamics in quasi-one-dimensional flat band lattices
- Graphene Nanoribbon and Graphene Nanodisk
- Elasticity and Response in Nearly Isostatic Periodic Lattices
- Boron Fullerenes: A First-Principles Study
- Abrupt field-induced transition triggered by magnetocaloric effect in phase-separated manganites
- Spin nematics and magnetization plateau transition in anisotropic Kagome magnets
- Flat-band ferromagnetism in quantum dot superlattices
- Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: a density matrix renormalization group study
- Compact localized states and flat bands from local symmetry partitioning
- Stability of ferromagnetism in the Hubbard model on the kagomé lattice
- Ground State of a Spin System with Two- and Four-spin Exchange Interactions on the Triangular Lattice
- Magnetization process of the spin-1/2 XXZ models on square and cubic lattices
- Flat-band engineering in tight-binding models: Beyond the nearest-neighbor hopping
- Incompressible polaritons in a flat band
- Observation of a nonradiative flat band for spoof surface plasmons in a metallic Lieb lattice
- Frustrated ferromagnetic spin-1/2 chain in the magnetic field
- Indirect exchange interaction between magnetic adatoms in a monolayer MoS2
- Topological phase and edge states dependence of the RKKY interaction in zigzag silicene nanoribbon
- Self-consistent theory of ferromagnetism on the surface of a topological insulator
- Ruderman-Kittel-Kasuya-Yosida interactions on a bipartite lattice
- Frustrated spin chains in strong magnetic field: dilute two-component Bose gas regime
- Electronic structure of vacancy resonant states in graphene: a critical review of the single vacancy case
- Prospect of quantum anomalous Hall and quantum spin Hall effect in doped kagome lattice Mott insulators
- New class of flat-band models on tetragonal and hexagonal lattices: Gapped versus crossing flat bands
- Metamagnetism in the XXZ model with next-to-nearest-neighbor coupling
- Tight-binding photonic bands in metallophotonic waveguide networks and flat bands in kagome lattices
- Magnetization Jump in the Magnetization Process of the spin-1/2 Heisenberg Antiferromagnet on a Distorted Square-Kagome Lattice
- Ground State Magnetization of Polymerized Spin Chains
- Strongly anisotropic RKKY interaction in monolayer black phosphorus
- Ruderman-Kittel-Kasuya-Yosida interaction in biased bilayer graphene
- Universal condition for critical percolation thresholds of kagome-like lattices
- Flat bands and long range Coulomb interactions: conducting or insulating?
- Anisotropic RKKY interaction in spin polarized graphene
- Half-metallicity in honeycomb-kagome-lattice Mg3C2 monolayer with carrier doping
- Double flat bands in kagome twisted bilayers
- Dynamical exchange interaction between localized spins out of equilibrium
- Site percolation and random walks on d-dimensional Kagome lattices
- Flat bands in Weaire-Thorpe model and silicene
- Boron Triangular Kagome Lattice with Half-Metallic Ferromagnetism
- Exchange interaction of magnetic impurities in biased bilayer phosphorene nanoribbon
- Magnetization jump in the XXZ chain with next-nearest-neighbor exchange
- Magnetization plateaus in the spin-1/2 antiferromagnetic Heisenberg model on a kagome-strip chain
- Multiple Magnetization Plateaus and the Magnetic Structures in Heisenberg Model on the Checkerboard Lattice
- Quantum Phase Transition in Hall Conductivity on an Anisotropic Kagome Lattice
- Metamagnetism of antiferromagnetic XXZ quantum spin chains
- Absence of O Knight-Shift Changes across the First-Order Phase Transition Line in SrRuO
- Magnetization plateaux and jumps in a frustrated four-leg spin tube under a magnetic field
- Exactly solvable spin-1 Ising-Heisenberg diamond chain with the second-neighbor interaction between nodal spins
- Tilt-induced anomalous thermal transport in normal/superconducting borophane junctions
- Strain-induced modulation of exchange interaction in monolayer zigzag nanoribbons of BS
- Tuning the electronic structure and magnetic coupling in armchair BS nanoribbons using strain and staggered sublattice potential