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Kagome lattice has been actively studied for the possible realization of frustration-induced two-dimensional flat bands and a number of correlation-induced phases. Currently, the search for kagome systems with a nearly dispersionless flat…

Strongly Correlated Electrons · Physics 2024-06-27 Subhasis Samanta , Hwiwoo Park , Chanhyeon Lee , Sungmin Jeon , Hengbo Cui , Yong-Xin Yao , Jungseek Hwang , Kwang-Yong Choi , Heung-Sik Kim

Flat bands in lattice models have provided useful platforms for studying strong correlation and topological physics. Recently, honeycomb superlattices have been shown to host flat bands that persist in the presence of local perturbations…

Mesoscale and Nanoscale Physics · Physics 2020-12-15 Zihao Qi , Eric Bobrow , Yi Li

Rhombohedral (ABC-stacked) multilayer graphene hosts interaction-driven phases enabled by surface flat bands at large displacement fields. In thick flakes, however, strong screening suppresses internal electric fields, raising the question…

Mesoscale and Nanoscale Physics · Physics 2026-05-26 Kryštof Kolář , Andrea F. Young , Cyprian Lewandowski

We investigate low-energy properties of a generalized spin ladder model with both of the spin alternation and the bond alternation, which allows us to systematically study not only ladder systems but also alternating spin chains. By…

Strongly Correlated Electrons · Physics 2009-10-30 A. Koga , S. Kumada , N. Kawakami , T. Fukui

Motivated by the recent theoretical studies on a two-dimensional (2D) chiral Hamiltonian based on the Su-Schrieffer-Heeger chains, we experimentally and computationally demonstrate that topological flat frequency bands can occur at open…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Kai Qian , Linghua Zhu , Keun Hyuk Ahn , Camelia Prodan

We present a micromagnetic analysis of spin-wave propagation in a magnonic crystal realized as a permalloy spin-wave waveguide with a spatial periodical variation of its saturation magnetization. Frequency band gaps were clearly observed in…

Mesoscale and Nanoscale Physics · Physics 2015-03-24 Florin Ciubotaru , Andrii V. Chumak , Björn Obry , Alexander A. Serga , Burkard Hillebrands

Band formation in periodic media is a central topic in undergraduate solid-state physics, typically introduced through Bloch's theorem as an eigenvalue problem in reciprocal space for infinitely periodic systems. While mathematically…

Computational Physics · Physics 2026-04-07 Nishant Kashyap , Amit Tanwar , Vivek T. Ramamoorthy , Pragati Ashdhir

In recent years, there has been a growing interest in flatband systems which exhibit macroscopic degeneracies. These systems offer a valuable mathematical framework for the extreme sensitivity to perturbations and interactions. This…

Disordered Systems and Neural Networks · Physics 2024-01-19 Sanghoon Lee

We study the attractive Hubbard model with spin imbalance on two lattices featuring a flat band: the Lieb and kagome lattices. We present mean-field phase diagrams featuring exotic superfluid phases, similar to the…

We investigate the dynamical properties of a strongly disordered micropolar lattice made up of cubic block units. This phononic lattice model supports both transverse and rotational degrees of freedom hence its disordered variant posses an…

Pattern Formation and Solitons · Physics 2020-08-12 A. Ngapasare , G. Theocharis , O. Richoux , Ch. Skokos , V. Achilleos

We propose a method to generate a real-energy flat band in a two-dimensional (2D) non-Hermitian Lieb lattice. The coincidence of the flat band eigenstate in both real and momentum spaces is essential for the proposed flat band, which is…

Quantum Physics · Physics 2019-10-10 S. M. Zhang , L. Jin

In this review, we present recent works on materials whose common point is the presence of electronic bands of very low dispersion, called "flat bands", which are due to specific atomic order effects without electron interactions. These…

Frustration, or the competition between interacting components of a network, is often responsible for the complexity of many body systems, from social and neural networks to protein folding and magnetism. In quantum magnetic systems,…

Numerous machine learning problems require an exploration basis - a mechanism to explore the action space. We define a novel geometric notion of exploration basis with low variance, called volumetric spanners, and give efficient algorithms…

Machine Learning · Computer Science 2014-05-27 Elad Hazan , Zohar Karnin , Raghu Mehka

Many-body physics of electron-electron correlations plays a central role in condensed mater physics, it governs a wide range of phenomena, stretching from superconductivity to magnetism, and is behind numerous technological applications. To…

Mesoscale and Nanoscale Physics · Physics 2023-06-09 Anupam Bhattacharya , Ivan Timokhin , Ratnamala Chatterjee , Qian Yang , Artem Mishchenko

The low-energy magnetic configurations of artificial frustrated spin chains are investigated using magnetic force microscopy and micromagnetic simulations. Contrary to most studies on two-dimensional artificial spin systems where…

Mesoscale and Nanoscale Physics · Physics 2017-08-02 V. -D. Nguyen , Y. Perrin , S. Le Denmat , B. Canals , N. Rougemaille

Flat band materials such as the kagome metals or moir\'e superlattice systems are of intense current interest. Flat bands can result from the electron motion on numerous (special) lattices and usually exhibit topological properties. Their…

Strongly Correlated Electrons · Physics 2024-05-28 Joseph G. Checkelsky , B. Andrei Bernevig , Piers Coleman , Qimiao Si , Silke Paschen

The design and development of new photonic devices for technological applications requires a deep understanding of the effect of structural properties on the resulting band gap size and its position. Here, we perform a theoretical study of…

Optics · Physics 2024-05-24 Oscar D. H. Pardo , R. R. Rey-González

Understanding the nature of strongly correlated states in flat-band materials (such as moir\'e heterostructures) is at the forefront of both experimental and theoretical pursuits. While magnetotransport, scanning probe, and optical…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 Michał Papaj , Cyprian Lewandowski

Geometric frustration leads to complex phases of matter with exotic properties. Antiferromagnets on triangular lattices and square ice are two simple models of geometrical frustration. We map their highly degenerated ground-state phase…

Statistical Mechanics · Physics 2015-05-13 Yilong Han