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Spinless fermions on highly frustrated lattices are characterized by a lowest single-particle band which is completely flat. Concrete realizations are provided by the sawtooth chain and the kagome lattice. For these models a real-space…

Strongly Correlated Electrons · Physics 2015-03-03 A. Honecker , J. Richter

Graphene-based systems have emerged as a rich platform for exploring emergent quantum phenomena-including superconductivity, magnetism, and correlated insulating behavior-arising from flat electronic bands that enhance many-body…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Xinyu Cai , Fengfan Ren , Qiao Li , Yanran Shi , Yifan Wang , Yifan Zhang , Zhenghang Zhi , Jiawei Luo , Yulin Chen , Jianpeng Liu , Xufeng Kou , Zhongkai Liu

We propose a scheme to dynamically generate optical flux lattices with nontrivial band topology using amplitude-modulated Raman lasers and radio-frequency (rf) magnetic fields. By tuning the strength of Raman and rf fields, three distinct…

Quantum Gases · Physics 2017-02-07 Jinlong Yu , Zhi-Fang Xu , Li You

The kagome lattice has emerged as a promising platform for investigating exotic quantum phases. However, achieving a single-atomic-layer kagome lattice in elemental materials remains a significant challenge. Here, we introduce line-graph…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Qiwei Tian , Sahar Izadi Vishkayi , Chen Zhang , Jiang Zeng , Bo Li , Li Zhang , Long-Jing Yin , Yuan Tian , Meysam Bagheri Tagani , Lijie Zhang , Zhihui Qin

We propose a feasible experimental scheme to realize a three-dimensional chiral topological insulator with cold fermionic atoms in an optical lattice, which is characterized by an integer topological invariant distinct from the conventional…

Strongly Correlated Electrons · Physics 2014-07-18 Sheng-Tao Wang , Dong-Ling Deng , Lu-Ming Duan

We propose an exact analytical decimation transformation scheme to explore the fascinating coexistence of flat bands and Dirac fermions in three-dimensional coupled kagome systems. Our method allows coarse-graining of the parameter space…

Materials Science · Physics 2023-11-08 Anumita Bose , Arka Bandyopadhyay , Awadhesh Narayan

The kagome lattice has garnered significant attention due to its ability to host quantum spin Fermi liquid states. Recently, the combination of unique lattice geometry, electron-electron correlations, and adjustable magnetism in solid…

Strongly Correlated Electrons · Physics 2025-01-06 Man Li , Huan Ma , Rui Lou , Shancai Wang

Hexagonal Kagome lattice is a multiband system with a quadratic band crossing point, in contrast with honeycomb lattice with linear band crossing point, which has exotic correlated effect and can produce various novel quantum states. Here…

Strongly Correlated Electrons · Physics 2013-12-03 Heng-Fu Lin , Yao-Hua Chen , Hai-Di Liu , Hong-Shuai Tao , Wu-Ming Liu

We drive periodically a two-dimensional diamond-octagon lattice model by switching between two Hamiltonian corresponding two different magnetic flux piercing through diamond plaquette to investigate the generation of topological flat bands.…

Statistical Mechanics · Physics 2021-10-18 Tanay Nag , Atanu Rajak

We have studied interacting and non-interacting quantum degenerate Fermi gases in a three-dimensional optical lattice. We directly image the Fermi surface of the atoms in the lattice by turning off the optical lattice adiabatically. Due to…

Superconductivity · Physics 2009-11-10 Michael Köhl , Henning Moritz , Thilo Stöferle , Kenneth Günter , Tilman Esslinger

Topological phases and modes, including pseudospin-Hall-selective edge transport and corner states, provide robust control of wave propagation and modal confinement in classical wave platforms. Under a tight-binding framework, we…

Mesoscale and Nanoscale Physics · Physics 2025-12-03 Shenglong Guo , Qinhui Jiang , Yuma Kawaguchi , Bo Li , Mengyao Li

We describe a simple model of fermions in quasi-one dimension that features interaction induced deconfinement (a phase transition where the effective dimensionality of the system increases as interactions are turned on) and which can be…

Strongly Correlated Electrons · Physics 2015-05-13 Sam T. Carr , Jorge Quintanilla , Joseph J. Betouras

The manipulation of particle transport in synthetic quantum matter is an active research frontier for its theoretical importance and potential applications. Here we experimentally demonstrate an engineered topological transport in a…

Quantum Gases · Physics 2024-01-09 Hang Li , Qian Liang , Zhaoli Dong , Hongru Wang , Wei Yi , Jian-Song Pan , Bo Yan

Geometrically frustrated systems with a large degeneracy of low energy states are of central interest in condensed-matter physics. The kagome net - a pattern of corner-sharing triangular plaquettes - presents a particularly high degree of…

Topological insulators are studied via tight-binding approximations of longitudinally driven photonic lattices with three lattice sites per unit cell. Two cases are considered in detail: Lieb and Kagome lattices. The lattice is decomposed…

Pattern Formation and Solitons · Physics 2019-03-27 Mark J. Ablowitz , Justin T. Cole

Topological mechanical metamaterials have been widely explored for their boundary states, which can be robustly isolated or transported in a controlled manner. However, such systems often require pre-configured design or complex active…

Mesoscale and Nanoscale Physics · Physics 2022-12-06 Yasuhiro Miyazawa , Chun-Wei Chen , Rajesh Chaunsali , Timothy S. Gormley , Gloria Yin , Georgios Theocharis , Jinkyu Yang

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

We consider a model for a two-dimensional Kagome-lattice with defocusing nonlinearity, and show that families of localized discrete solitons may bifurcate from localized linear modes of the flat band with zero power threshold. Each family…

Pattern Formation and Solitons · Physics 2013-09-17 Rodrigo A. Vicencio , Magnus Johansson

Topological behavior has been observed in quantum systems including ultracold atoms. However, background harmonic traps for cold-atoms hinder direct detection of topological edge states arising at the boundary because the distortion fuses…

Quantum Gases · Physics 2017-08-17 Mekena Metcalf , Chen-Yen Lai , Kevin Wright , Chih-Chun Chien

We study an ultracold atomic gas with attractive interactions in a one-dimensional optical lattice. We find that its excitation spectrum displays a quantum soliton band, corresponding to $N$-particle bound states, and a continuum band of…

Quantum Gases · Physics 2019-02-13 Piero Naldesi , Juan Polo Gomez , Anna Minguzzi , Boris Malomed , Maxim Olshanii , Luigi Amico