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We study site- and bond-percolation on a class of lattices referred to as Lieb lattices. In two dimensions the Lieb lattice (LL) is also known as the decorated square lattice, or as the CuO$_2$ lattice; in three dimensions it can be…

Statistical Mechanics · Physics 2022-01-05 W. S. Oliveira , J. Pimentel de Lima , Natanael C. Costa , R. R. dos Santos

The ability to manipulate two-dimensional (2D) electrons with external electric fields provides a route to synthetic band engineering. By imposing artificially designed and spatially periodic superlattice (SL) potentials, 2D electronic…

Inspired by the growing interest in probing many-body phases in novel two-dimensional lattice geometries we investigate the properties of cold atoms as they could be observed in an optical Lieb lattice. We begin by computing Wannier…

Quantum Gases · Physics 2021-08-12 Stuart Flannigan , Luisa Madail , Ricardo G. Dias , Andrew J. Daley

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

Due to the large-period superlattices emerging in moire two-dimensional (2D) materials, electronic states in such systems exhibit low energy flat bands that can be used to simulate strongly correlated physics in a highly tunable setup.…

The ability to construct 2D systems, beyond materials natural formation, enriches the search and control capability of new phenomena. For instance, the synthesis of topological lattices of vacancies on metal surfaces through scanning…

Materials Science · Physics 2020-04-07 F. Crasto de Lima , R. H. Miwa

The Luttinger liquid (LL) model of one-dimensional (1D) electronic systems provides a powerful tool for understanding strongly correlated physics including phenomena such as spin-charge separation. Substantial theoretical efforts have…

We study the emergence of altermagnetism from repulsive interactions for electrons on the Lieb lattice as a model of quasi-2D oxychalcogenides with the so-called "anti-CuO$_{2}$" lattice structure. A comprehensive study of the Lieb lattice…

Strongly Correlated Electrons · Physics 2024-12-25 Nitin Kaushal , Marcel Franz

Scanning tunneling microscopy is a powerful tool to build artificial atomic structures even not exist in nature but possess exotic properties. We here constructed Lieb lattices with different lattice constants by real atoms, i.e., Fe atoms…

Mesoscale and Nanoscale Physics · Physics 2022-05-25 Xiaoxia Li , Qili Li , Tongzhou Ji , Ruige Yan , Wenlin Fan , Bingfeng Miao , Liang Sun , Gong Chen , Weiyi Zhang , Haifeng Ding

Two-dimensional electronic flat bands and their induced correlated electronic interactions have been discovered, probed, and tuned in interlayer regions of hexagonally shaped van der Waals moire superlattices. Fabrication of anisotropic…

Mesoscale and Nanoscale Physics · Physics 2022-06-22 Yafei Li , Qing Yuan , Deping Guo , Cancan Lou , Xingxia Cui , Guangqiang Mei , Hrvoje Petek , Limin Cao , Wei Ji , Min Feng

The recent discovery of the Lorentz symmetry-violating 'Type II' Weyl semimetal phase has renewed interest in the study of Weyl physics in condensed matter systems. However, tuning the exceptional properties of this novel state has remained…

Quantum Gases · Physics 2017-01-25 Kunal Shastri , Zhaoju Yang , Baile Zhang

Two recent preprints in the physics archive (arXiv) have called attention as they claim experimental evidence that a Cu-substituted apatite material (dubbed LK-99) exhibits superconductivity at room temperature and pressure. If this proves…

Superconductivity · Physics 2024-05-17 J. Cabezas-Escares , N. F. Barrera , R. H. Lavroff , A. N. Alexandrova , C. Cardenas , F. Munoz

We study the mean-field phase diagram of the two-dimensional (2D) Hubbard model in the Lieb lattice allowing for spin and charge density waves. Previous studies of this diagram have shown that the mean-field magnetization surprisingly…

Strongly Correlated Electrons · Physics 2016-02-17 J. D. Gouveia , R. G. Dias

Ultrathin semiconductors present various novel electronic properties. The first experimental realized two-dimensional (2D) material is graphene. Searching 2D materials with heavy elements bring the attention to Si, Ge and Sn. 2D buckled…

The subject of the present paper is a thorough numerical investigation of plasmon expectations, their dispersions and damping within a Lieb lattice. The Lieb lattice is known for its unique low-energy band structure which consists of a…

Materials Science · Physics 2026-03-04 Andrii Iurov , Liubov Zhemchuzhna , Godfrey Gumbs , Danhong Huang

Two-dimensional (2D) materials exhibit a number of improved mechanical, optical, electronic properties compared to their bulk counterparts. The absence of dangling bonds in the cleaved surfaces of these materials allows combining different…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Yu Kyoung Ryu , Riccardo Frisenda , Andres Castellanos-Gomez

We study an anisotropic two-dimensional non-Hermitian Lieb lattice, where the staggered gain and loss present in the horizontal and vertical directions, respectively. The intra-cell nonreciprocal coupling generates magnetic flux enclosed in…

Mesoscale and Nanoscale Physics · Physics 2021-11-02 L. C. Xie , H. C. Wu , X. Z. Zhang , L. Jin , Z. Song

We consider a hitherto unexplored setting of stacked multilayer ($\mathcal{N}$) Lieb lattice which undergoes an unusual topological transition in the presence of intra-layer spin-orbit coupling (SOC). The specific stacking configuration…

Strongly Correlated Electrons · Physics 2021-06-18 Saikat Banerjee , Avadh Saxena

Exotic phenomenon can be achieved in quantum materials by confining electronic states into two dimensions. For example, relativistic fermions are realised in a single layer of carbon atoms, the quantized Hall effect can result from…

Two-dimensional (2D) atom lattices provide model setups for Coulomb correlations inducing competing ground states, partly with topological character. Hexagonal SiC(0001) is an intriguing wide-gap substrate, spectroscopically separated from…

Strongly Correlated Electrons · Physics 2015-06-29 Stefan Glass , Gang Li , Florian Adler , Julian Aulbach , Andrzej Fleszar , Ronny Thomale , Werner Hanke , Ralph Claessen , Jörg Schäfer