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Certain lattices with specific geometries have one or more spectral bands that are strictly flat, i.e. the electron energy is independent of the momentum. This can occur robustly irrespective of the specific couplings between the lattices…

Mesoscale and Nanoscale Physics · Physics 2021-01-01 Md Nurul Huda , Shawulienu Kezilebieke , Peter Liljeroth

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…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Wen-Xuan Qiu , Shuai Li , Jin-Hua Gao , Yi Zhou , Fu-Chun Zhang

Geometry, whether on the atomic or nanoscale, is a key factor for the electronic band structure of materials. Some specific geometries give rise to novel and potentially useful electronic bands. For example, a honeycomb lattice leads to…

Engineered lattices in condensed matter physics, such as cold atom optical lattices or photonic crystals, can have fundamentally different properties from naturally-occurring electronic crystals. Here, we report a novel type of artificial…

Artificially engineered lattices provide a flexible platform for reproducing and extending the electronic behavior of atomic-scale materials. Artificial graphene systems, in particular, mimic graphene-like linear dispersion with tunable…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Emre Okcu , Emre Mesudiyeli , Hâldun Sevinçli , A. Devrim Güçlü

We theoretically demonstrate that the desired $p_{x,y}$-orbital honeycomb electron lattice can be readily realized by arranging CO molecules into a hexagonal lattice on Cu(111) surface with scanning tunneling microscopy (STM). The…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Wen-Xuan Qiu , Liang Ma , Jing-Tao Lü , Jin-Hua Gao

Motivated by new capabilities to realise artificial gauge fields in ultracold atomic systems, and by their potential to access correlated topological phases in lattice systems, we present a new strategy for designing topologically…

Quantum Gases · Physics 2012-11-22 N. R. Cooper , R. Moessner

The fabrication of atomically precise structures with designer electronic properties is one of the emerging topics in condensed matter physics. The required level of structural control can either be reached through atomic manipulation using…

Materials Science · Physics 2019-10-29 Linghao Yan , Peter Liljeroth

Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximation, arising from either internal symmetries or fine-tuned…

Mesoscale and Nanoscale Physics · Physics 2018-06-07 Daniel Leykam , Alexei Andreanov , Sergej Flach

In nearly free electron theory the imposition of a periodic electrostatic potential on free electrons creates the bandstructure of a material, determined by the crystal lattice spacing and geometry. Imposing an artificially designed…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 Daisy Q. Wang , Zeb Krix , Oleg P. Sushkov , Ian Farrer , David A. Ritchie , Alexander R. Hamilton , Oleh Klochan

Atomically engineered artificial lattices are a useful tool for simulating complex quantum phenomena, but have so far been limited to the study of Hamiltonians where electron-electron interactions do not play a role -- but it's precisely…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Rasa Rejali , Laëtitia Farinacci , David Coffey , Rik Broekhoven , Jeremie Gobeil , Yaroslav M. Blanter , Sander Otte

Materials science and the study of the electronic properties of solids are a major field of interest in both physics and engineering. The starting point for all such calculations is single-electron, or non-interacting, band structure…

Quantum Physics · Physics 2020-01-08 Alicia J. Kollár , Mattias Fitzpatrick , Peter Sarnak , Andrew A. Houck

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…

Mesoscale and Nanoscale Physics · Physics 2018-10-15 Robert Drost , Teemu Ojanen , Ari Harju , Peter Liljeroth

Though several theoretical models have been proposed to design electronic flat-bands, the definite experimental realization in two-dimensional atomic crystal is still lacking. Here we propose a novel and realistic flat-band model based on…

Materials Science · Physics 2021-02-04 Jiang Zeng , Ming Lu , Haiwen Liu , Hua Jiang , X. C. Xie

We introduce a systematic method for constructing a class of lattice structures that we call ``partial line graphs''.In tight-binding models on partial line graphs, energy bands with flat energy dispersions emerge.This method can be applied…

Strongly Correlated Electrons · Physics 2009-11-11 Shin Miyahara , Kenn Kubo , Hiroshi Ono , Yoshihiro Shimomura , Nobuo Furukawa

Theory anticipates that the in-plane px, py orbitals in a honeycomb lattice lead to new and potentially useful quantum electronic phases. So far, p orbital bands were only realized for cold atoms in optical lattices and for light and…

Using an optical potential with subwavelength resolution in the form of sharp $\delta$-like peaks, new potential landscapes are created with increased anharmonicity in placement of lattice band energies and more favorable energy scales. In…

Quantum Gases · Physics 2021-05-12 Mateusz Łącki

We extend previous work applying elementary matrix mechanics to one-dimensional periodic arrays (to generate energy bands) to two-dimensional arrays. We generate band structures for the square lattice "2D Kronig-Penney model" (square…

Mesoscale and Nanoscale Physics · Physics 2018-01-09 R. L. Pavelich , F. Marsiglio

We develop an approach to design, engineer, and measure band structures in a synthetic crystal composed of electric circuit elements. Starting from the nodal analysis of a circuit lattice in terms of currents and voltages, our Laplacian…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Tobias Helbig , Tobias Hofmann , Ching Hua Lee , Ronny Thomale , Stefan Imhof , Laurens W. Molenkamp , Tobias Kiessling

Advances in nanotechnology now allow the creation of artificial atoms - engineered structures whose electronic states closely mimic those of real atoms. Understanding how these artificial atoms interact and bond is key to designing new…

Mesoscale and Nanoscale Physics · Physics 2026-04-17 Mong-Wen Gu , Aizhan Sabitova , Taner Esat , Christian Wagner , F. Stefan Tautz , Aleksandr Rodin , Ruslan Temirov
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