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We examine localization of light in nonlinear (Kerr) kagome lattices in the shape of narrow strips of varying width. For the narrowest ribbon, the band structure features a flat band leading to linear dynamical trapping of an initially…

Pattern Formation and Solitons · Physics 2015-06-11 Mario I. Molina

We study the superfluid state of atomic fermions in a tunable optical kagome lattice motivated by recent experiments. We show that imposed superflow induces spatial modulations in the density and order parameter of the pair condensate and…

Quantum Gases · Physics 2013-04-12 Daisuke Yamamoto , Chika Sato , Tetsuro Nikuni , Shunji Tsuchiya

We report the presence of multiple flat bands in a class of two-dimensional (2D) lattices formed by Sierpinski gasket (SPG) fractal geometries as the basic unit cells. Solving the tight-binding Hamiltonian for such lattices with different…

Disordered Systems and Neural Networks · Physics 2018-05-02 Biplab Pal , Kush Saha

The explicit construction of non-dispersive flat band modes and the tunability of has been reported for a hierarchical 3-simplex fractal geometry. A single band tight binding Hamiltonian defined for the deterministic self-similar…

Mesoscale and Nanoscale Physics · Physics 2021-02-08 Atanu Nandy

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 long-wavelength physics of monolayer graphene in the presence of periodic strain fields has a natural chiral scattering network description. When the strain field varies slowly compared to the graphene lattice and the effective magnetic…

Mesoscale and Nanoscale Physics · Physics 2023-01-18 Christophe De Beule , Vo Tien Phong , E. J. Mele

The spin dynamics and electronic orders of the kagome system at different filling levels stand as an intriguing subject in condensed matter physics. By first-principles calculations and random phase approximation analyses, we investigate…

Superconductivity · Physics 2025-02-12 Siqi Wu , Chenchao Xu , Xiaoqun Wang , Hai-Qing Lin , Chao Cao , Guang-Han Cao

Two-dimensional systems in magnetic fields host rich physics, most notably the quantum Hall effect arising from Landau level quantization. In a broad class of two-dimensional models, flat bands with topologically nontrivial band…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Soujanya Datta , Krishanu Roychowdhury

Electronic flat band systems are a fertile platform to host correlation-induced quantum phenomena such as unconventional superconductivity, magnetism and topological orders. While flat band has been established in geometrically frustrated…

We report on the experimental realization of a uniform synthetic magnetic flux and the observation of Aharonov-Bohm cages in photonic lattices. Considering a rhombic array of optical waveguides, we engineer modulation-assisted tunneling…

The present view of modern physics on non-equilibrium dynamics is that generic systems equilibrate or thermalize under rather general conditions, even closed systems under unitary time evolution. The investigation of exceptions thus not…

Strongly Correlated Electrons · Physics 2025-10-27 H. Schlüter , J. Schnack , J. Eckseler

A flat band is nondispersive and formed under destructive interference. Although flat bands are found in various Hermitian systems, to realize a flat band in non-Hermitian systems is an interesting task. Here, we propose a flat band in a…

Quantum Physics · Physics 2019-03-07 L. Jin

We present the mean-field phase diagram of electrons in a kagome flat band with repulsive interactions. In addition to flat-band ferromagnetism, the Hartree-Fock analysis yields cascades of unconventional magnetic orders driven by onsite…

Strongly Correlated Electrons · Physics 2024-07-30 Yu-Ping Lin , Chunxiao Liu , Joel E. Moore

We demonstrate that a flat-band state in a quasi-one-dimensional rhombic lattice is robust in the presence of external drivings along the lattice axis. The lattice was formed by periodic arrays of evanescently coupled optical waveguides,…

Optics · Physics 2017-06-06 Sebabrata Mukherjee , Robert R. Thomson

Kagome lattices facilitate various quantum phases, yet in bulk materials, their kagome flat-bands often interact with bulk bands, suppressing kagome electronic characteristics for hosting these phases. Here, we use density-functional-theory…

Materials Science · Physics 2024-08-29 Jiaqi Dai , Zhongqin Zhang , Zemin Pan , Cong Wang , Chendong Zhang , Zhihai Cheng , Wei Ji

CoSn is a prototypical kagome compound showing lattice-born flat bands with suppressed bandwidth over large parts of the Brillouin zone. Here, by means of time- and angle-resolved photoelectron spectroscopy, we provide direct evidence of…

A model for two-dimensional electronic, photonic, and mechanical metamaterial systems is presented, which has flat one-dimensional zero-mode energy bands and stable localized states of a topological origin confined within twin boundaries,…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Linghua Zhu , Emil Prodan , Keun Hyuk Ahn

We develop a systematic framework for constructing all-bands-flat (ABF) lattice Hamiltonians that explicitly break time-reversal symmetry (TRS). By threading magnetic flux through disconnected polygonal plaquettes and applying local…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Rohit Kishan Ray , Carlo Danieli , Alexei Andreanov , Sergej Flach

The kagome lattice naturally hosts flat bands, Dirac fermions, and van Hove singularities, yet whether its geometry can stabilize orbital-selective phases - a hallmark of Hund's physics in multi-orbital correlated systems - has remained an…

Strongly Correlated Electrons · Physics 2026-03-24 S. V. Streltsov , H. Y. Huang , A. Ushakov , C. I. Wu , A. Singh , J. Su , J. Okamoto , C. T. Chen , K. Wang , A. I. Poteryaev , S-W. Cheong , A. Fujimori , D. J. Huang

Magnetic kagome materials provide a fascinating playground for exploring the interplay of magnetism, correlation and topology. Many magnetic kagome systems have been reported including the binary FemXn (X=Sn, Ge; m:n = 3:1, 3:2, 1:1) family…