Desiging Artificial Lieb Lattice on Metal Surface

Abstract

Recently, several experiments have illustrated that metal surface electrons can be manipulated to form a two dimensional (2D) lattice by depositing a designer molecule lattice on metal surface. This offers a promising new technique to construct artificial 2D electron lattices. Here we theoretically propose a molecule lattice pattern to realize an artificial Lieb lattice on metal surface, which shows a flat electronic band due to the lattice geometry. We show that the localization of electrons in the flat band may be understood from the viewpoint of electron interference, which may be probed by measuring the local density of states with the scanning tunnelling microscopy. Our proposal may be readily implemented in experiment and may offer an ideal solid state platform to investigate the novel flat band physics of the Lieb lattice.

5 pages, 4 figures

References in corpus (14)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Observation of a localized flat-band state in a photonic Lieb lattice
• Fractional quantum Hall effect in the absence of Landau levels
• Observation of bound states in Lieb photonic lattices
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Topological Insulators on the Lieb and Perovskite Lattices
• Flat Chern Band in a Two-Dimensional Organometallic Framework
• Topological Phases for Fermionic Cold Atoms on the Lieb Lattice
• Exotic electronic states in the world of flat bands: from theory to material
• Making Massless Dirac Fermions from Patterned Two-Dimensional Electron Gases
• Quantum Anomalous Hall Effect in Flat Band Ferromagnet
• Density-functional investigation of molecular graphene: CO on Cu(111)

Cited by in corpus (4)

• p-band engineering in artificial electronic lattices
• Disorder-induced topological phase transitions on Lieb lattices
• Lieb lattices formed by real atoms on Ag(111) and their lattice constant dependent electronic properties
• Hybrid Interference Induced Flat Band Localization in Bipartite Optomechanical Lattices