Topological states in engineered atomic lattices

Abstract

Topological materials exhibit protected edge modes that have been proposed for applications in for example spintronics and quantum computation. While a number of such systems exist, it would be desirable to be able to test theoretical proposals in an artificial system that allows precise control over the key parameters of the model. The essential physics of several topological systems can be captured by tight-binding models, which can also be implemented in artificial lattices. Here, we show that this method can be realized in a vacancy lattice in a chlorine monolayer on a Cu(100) surface. We use low-temperature scanning tunneling microscopy (STM) to fabricate such lattices with atomic precision and probe the resulting local density of states (LDOS) with scanning tunneling spectroscopy (STS). We create analogues of two tight-binding models of fundamental importance: The polyacetylene (dimer) chain with topological domain wall states, and the Lieb lattice, featuring a lattice pseudospin 1 system with a flat electron band. These results provide the first steps in realizing designer quantum materials with tailored properties.

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Cited by in corpus (161)

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• Realization of robust boundary modes and non-contractible loop states in photonic Kagome lattices
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• Precise atom manipulation through deep reinforcement learning
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• Topological phases of a dimerized Fermi-Hubbard model for semiconductor nano-lattices
• Flat bands by latent symmetry
• Tuneable topological domain wall states in engineered atomic chains
• Edge-dependent topology in Kekulé lattices
• Non-Hermitian generalizations of extended Su-Schrieffer-Heeger models
• Designer Flat Bands in Quasi-One-Dimensional Atomic Lattices
• Initiating and monitoring the evolution of single electrons within atom-defined structures
• p-band engineering in artificial electronic lattices
• Engineered electronic states in atomically precise artificial lattices and graphene nanoribbons
• Electronic and Magnetic Characterization of Epitaxial VSe${}_2$ Monolayers on Superconducting NbSe${}_2$
• Quantum fluids of light in all-optical scatterer lattices
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• Origin of the flat band in heavily Cs doped graphene
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• Quantum simulator to emulate lower dimensional molecular structure
• Flatband Line States in Photonic Super-Honeycomb Lattices
• Construction of topological quantum magnets from atomic spins on surfaces
• A many-body approach to transport in quantum systems: From the transient regime to the stationary state
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• Quantum many-body topology of quasicrystals
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• Disorder-induced topological phase transitions on Lieb lattices
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• Long-range hopping and indexing assumption in one-dimensional topological insulators
• Topological Random Fractals
• Experimental Realization of Two-Dimensional Buckled Lieb lattice
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• Emergence of quasiparticle Bloch states in artificial crystals crafted atom-by-atom
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• Flat-Band Lasing in Silicon Waveguide-Integrated Metasurfaces
• Strain induced superconductor-insulator transition on Lieb lattice
• Tailored Topological Edge Waves via Chiral Hierarchical Metamaterials
• Topological States in Dimerized Quantum-Dot Chains Created by Atom Manipulation
• Topological properties of a class of Su-Schrieffer-Heeger variants
• Topological phase diagrams of exactly solvable non-Hermitian interacting Kitaev chains
• Roadmap on Atomic-scale Semiconductor Devices
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• Impurity-induced resonant spinon zero modes in Dirac quantum spin-liquids
• Two dimensional vertex-decorated Lieb lattice with exact mobility edges and robust flat bands
• Josephson effect in a Fibonacci quasicrystal
• Realistic flat-band model based on degenerate $p$-orbitals in two-dimensional ionic materials
• Spin-Imbalanced Pairing and Fermi Surface Deformation in Flat Bands
• Quench dynamics of quantum spin models with flat bands of excitations
• Thermalization by a synthetic horizon
• Quantum phase transitions of multi-species Dirac fermions
• Dimerization-induced topological superconductivity in a Rashba nanowire
• Exchange interaction, disorder, and stacking faults in rhombohedral graphene multilayers
• Magnetization, d-wave superconductivity and non-Fermi liquid behavior in a crossover from dispersive to flat bands
• Catalog of noninteracting tight-binding models with two energy bands in one dimension
• Z3 Charge Density Wave of Silicon Atomic Chains on a Vicinal Silicon Surface
• Flat band induced non-Fermi liquid behavior of multicomponent fermions
• Adatom engineering magnetic order in superconductors: Applications to altermagnetic superconductivity
• Compact localized boundary states in a quasi-1D electronic diamond-necklace chain
• Spin-Imbalanced Fermi Superfluidity in a Lieb Lattice Hubbard Model
• Topological superconductivity in Fibonacci quasicrystals
• Nonsymmorphic chiral symmetry and solitons in the Rice-Mele model
• Atomically-precise engineering of spin-orbit polarons in a kagome magnetic Weyl semimetal
• Identifying gap-closings in open non-Hermitian systems by Biorthogonal Polarization
• Inducing a many-body topological state of matter through Coulomb-engineered local interactions
• Kondo-lattice-mediated interactions in flat band systems
• Bulk-edge correspondence with generalized chiral symmetry
• Designer quantum states on a fractal substrate: compact localization, flat bands and the edge modes
• Non-Universal Critical Behaviors in Disordered Pseudospin-1 Systems
• Going beyond the Chandrasekhar-Clogston limit in a flat-band superconductor
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• Compact localised states in magnonic Lieb lattices
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• Extraction of autonomous quantum coherences
• Transport signatures of symmetry protection in 1D Floquet topological insulators
• Quasiparticle excitations in a one-dimensional interacting topological insulator: Application for dopant-based quantum simulation
• Spectral Properties of Two Coupled Fibonacci Chains
• Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
• Impurity-induced excitations in a topological two-dimensional ferromagnet/superconductor van der Waals moiré heterostructure
• Probing the chirality of 1D Majorana edge states around a 2D nanoflake in a superconductor
• Lieb lattices formed by real atoms on Ag(111) and their lattice constant dependent electronic properties
• Orbital degree of freedom in artificial electron lattices on metal surface
• Tunable Aharonov-Bohm cages through anti-$\mathcal{P}\mathcal{T}$-symmetric imaginary couplings
• Implementation and characterization of the dice lattice in the electron quantum simulator
• Chaos based Berry phase detector
• Metal-insulator transition in the disordered Hubbard model of the Lieb lattice
• Optical properties of two dimensional Dirac Weyl materials with a flatband
• Topological and trivial domain wall states in engineered atomic chains
• One-dimensional Kronig-Penney superlattices at the LaAlO${}_3$/SrTiO${}_3$ interface
• Ferromagnetism in armchair graphene nanoribbon heterostructures
• A semimetallic square-octagon (fes) two-dimensional polymer with high mobility
• Flat-band engineering of quasi-one-dimensional systems via supersymmetric transformations
• Wannier center spectroscopy to identify boundary-obstructed topological insulators
• Spin-1 two-impurity Kondo problem on a lattice
• Engineering metal-$s{p}_{xy}$ Dirac bands on the oxidized SiC surface
• Particle and thermal transport through one dimensional topological systems via Lindblad formalism
• Fubini-Study metric and topological properties of flat band electronic states: the case of an atomic chain with $s-p$ orbitals
• Chern-Simons theory and atypical Hall conductivity in the Varma phase
• Flat bands without twists: periodic holey graphene
• Insulator-pseudogap crossover in the Lieb lattice
• Emergence of Surface Superconductivity through Interference in Superconducting-proximity Topological Insulators
• Snakes on Lieb lattice
• Designer fermion models in functionalized graphene bilayers
• Artificial Relativistic Molecules
• Emergence of asymmetric fermionic order in interacting birefringent fermions
• Anomalous in-gap edge states in two-dimensional pseudospin-1 Dirac insulators
• Magnetic properties of moiré quantum dot arrays
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Hybrid Interference Induced Flat Band Localization in Bipartite Optomechanical Lattices
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• Effects of anisotropic correlations in fermionic zero-energy bound states of topological phases
• Altermagnetism and its induced higher-order topology on the Lieb lattice
• Holographic Lieb lattice and gapping its Dirac band
• Flux-mediated effective Su-Schrieffer-Heeger model in an impurity decorated diamond chain
• Characterizing topological pumping of charges in exactly solvable Rice-Mele chains of the non-Hermitian variety
• Band structure and optical response of Kekulé-modulated $\alpha -{\mathcal{T}}_3$ model
• Point defects and their dynamic behaviors in silver monolayer intercalated between graphene and SiC
• Higher-Order Topological Systems and Their Sub-Symmetry-Protected Topology
• Quantum dot coupled to topological insulators: The role of edge states
• Electronic properties of atomically coherent square PbSe nanocrystal superlattice resolved by STS
• Symmetry-protected flatband condition for Hamiltonians with local symmetry
• Su-Schrieffer-Heeger-Hubbard model at quarter filling: effects of magnetic field and non-local interactions
• Current circulation near additional energy degeneracy points in quadratic Fermionic networks
• Lee-Yang formalism for phase transitions of interacting fermions using tensor networks
• Gauge fields induced by curved spacetime
• Normalization procedure for obtaining the local density of states from high-bias scanning tunneling spectroscopy
• Topological boundary states in engineered quantum-dot molecules on the InAs(111)A surface
• Synthesizing and multiplexing autonomous quantum coherences
• Quantized valley Hall response from local bulk density variations
• Revealing inverted chirality of hidden domain wall states in multiband systems without topological transition
• Reconfigurable Oxide Nanoelectronics by Tip-induced Electron Delocalization
• Quantum simulator of extended bipartite Hubbard model with broken sublattice symmetry: magnetism, correlations, and phase transitions
• Designer quantum matter in van der Waals heterostructures
• Charge waves and dynamical signatures of topological phases in Su-Schrieffer-Heeger chains
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Dissipation-Driven Transition of Particles from Dispersive to Flat Bands