Imaging Quasi-Periodic Electronic States in a Synthetic Penrose Tiling
arXiv:1707.06554 · doi:10.1038/ncomms15961
Abstract
Quasicrystals possess long-range order but lack the translational symmetry of crystalline solids. In solid state physics, periodicity is one of the fundamental properties that prescribes the electronic band structure in crystals. In the absence of periodicity and the presence of quasicrystalline order, the ways that electronic states change remain a mystery. Scanning tunneling microscopy and atomic manipulation can be used to assemble a two-dimensional quasicrystalline structure mapped upon the Penrose tiling. Here, carbon monoxide molecules are arranged on the surface of Cu(111) one at a time to form the potential landscape that mimics the ionic potential of atoms in natural materials by constraining the electrons in the two-dimensional surface state of Cu(111). The real-space images reveal the presence of the quasiperiodic order in the electronic wave functions and the Fourier analysis of our results links the energy of the resonant states to the local vertex structure of the quasicrystal.
arXiv commentMain text: 14 pages, 4 figures; Supplement: 5 pages, 4 figures
References in corpus (5)
Cited by in corpus (47)
- Dirac Electrons in a Dodecagonal Graphene Quasicrystal
- Design and characterization of electronic fractals
- Robust zero-energy modes in an electronic higher-order topological insulator: the dimerized Kagome lattice
- Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
- Topological states on fractal lattices
- Conventional superconductivity in quasicrystals
- Engineering interfacial quantum states and electronic landscapes by molecular nanoarchitectures
- Atomic-scale manipulation and in situ characterization with scanning tunneling microscopy
- Edge-dependent topology in Kekulé lattices
- p-band engineering in artificial electronic lattices
- Topological superconductivity in quasicrystals
- Engineered electronic states in atomically precise artificial lattices and graphene nanoribbons
- Topological Gaps by Twisting
- Quantum many-body topology of quasicrystals
- Strictly localized states in the octagonal Ammann-Beenker quasicrystal
- Noncrystalline topological superconductors
- Nature of Protected Zero Energy States in Penrose Quasicrystals
- Electronic instabilities in Penrose quasi-crystals: competition, coexistence and collaboration of order
- Projected Topological Branes
- Topological Gaps in Quasi-Periodic Spin Chains: A Numerical and K-Theoretic Analysis
- Hyperuniform electron distributions controlled by electron interactions in quasicrystal
- Mechanics and dynamics of two-dimensional quasiperiodic composites
- Josephson effect in a Fibonacci quasicrystal
- Effect of Electron-Electron Interactions on Metallic State in Quasicrystals
- A Kitaev-type spin liquid on a quasicrystal
- Colloquium: Synthetic quantum matter in non-standard geometries
- Topological charge pumping in quasiperiodic systems characterized by Bott index
- Topological superconductivity in Fibonacci quasicrystals
- Dynamic mass generation on two-dimensional electronic hyperbolic lattices
- Orbital degree of freedom in artificial electron lattices on metal surface
- Implementation and characterization of the dice lattice in the electron quantum simulator
- Lieb lattices formed by real atoms on Ag(111) and their lattice constant dependent electronic properties
- Magnetic catalysis in weakly interacting hyperbolic Dirac materials
- Beating the aliasing limit with aperiodic monotile arrays
- Self-consistent study of topological superconductivity in two-dimensional quasicrystals
- Localized States in Local Isomorphism Classes of Pentagonal Quasicrystals
- Engineering metal- Dirac bands on the oxidized SiC surface
- Emergent quasiparticles in Euclidean tilings
- Moiré fractals in twisted graphene layers
- Electronic structure and transport in materials with flat bands: 2D materials and quasicrystals
- Observation of Light Localization at the Edges of Quasicrystal Waveguide Arrays
- Model non-Hermitian topological operators without skin effect: A general principle of construction
- Gap labeling theorem for multilayer thin film heterostructures
- Mapping Chern numbers in quasi-periodic interacting spin chains
- Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
- Observation of Magnetic Devil's Staircase-Like Behavior in Quasiperiodic Qubit Lattices
- Site-selective correlations in interacting "flat-band" quasicrystals