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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…

强关联电子 · 物理学 2009-11-11 Shin Miyahara , Kenn Kubo , Hiroshi Ono , Yoshihiro Shimomura , Nobuo Furukawa

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…

介观与纳米尺度物理 · 物理学 2021-01-01 Md Nurul Huda , Shawulienu Kezilebieke , Peter Liljeroth

Periodic photonic structures enable precise control over the light-matter interaction through band structure engineering. Certain lattice geometries exhibit dispersionless flat bands, characterized by vanishing group velocity and diverging…

Theoretical quest of flat-band tight-binding models usually relies on lattice structures on which electrons reside. Typical examples of candidate lattice structures include the Lieb-type lattices and the line graphs. Meanwhile, there can be…

材料科学 · 物理学 2024-11-27 Tomonari Mizoguchi , Mina Maruyama , Yasuhiro Hatsugai , Susumu Okada

Materials in which atoms are arranged in a pyrochlore lattice have found renewed interest, as, at least theoretically, orbitals on those lattices can form flat bands. However, real materials often do not behave according to theoretical…

材料科学 · 物理学 2025-05-20 Fatmagül Katmer , Milena Jovanovic , Jennifer Cano , Lukas Muechler , Leslie M. Schoop

In a class of carbon-based materials called polymerized triptycene, which consist of triptycene molecules and phenyls, exotic electronic structures such as Dirac cones and flat bands arise from the kagome-type network. In this paper, we…

介观与纳米尺度物理 · 物理学 2019-11-26 Tomonari Mizoguchi , Mina Maruyama , Susumu Okada , Yasuhiro Hatsugai

We present a thorough tight-binding analysis of the band structure of a wide variety of lattices belonging to the class of honeycomb and Kagome systems including several mixed forms combining both lattices. The band structure of these…

强关联电子 · 物理学 2017-11-22 Cyrille Barreteau , Francois Ducastelle , Talal Mallah

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…

介观与纳米尺度物理 · 物理学 2018-06-07 Daniel Leykam , Alexei Andreanov , Sergej Flach

In the present study, we propose a unique scheme to generate and control multiple flat bands in a decorated diamond chain by using a strain-induced proximity effect between the diagonal sites of each diamond plaquette. This is in complete…

强关联电子 · 物理学 2025-12-11 K Shivanand Thakur , Vihodi Theuno , Amrita Mukherjee , Biplab Pal

In typical flat-band models, defined as nearest-neighbor tight-binding models, flat bands are usually pinned to the special energies, such as top or bottom of dispersive bands, or band-crossing points. In this paper, we propose a simple…

强关联电子 · 物理学 2019-06-12 Tomonari Mizoguchi , Masafumi Udagawa

The discovery of flat-bands in magic-angle twisted bilayer graphene has underscored the potential of moire engineering for correlated states, but such phases are notoriously difficult to realize and highly fragile against perturbations.…

介观与纳米尺度物理 · 物理学 2025-10-14 Yalan Wei , Shifang Li , Yuke Song , Chaoyu He

We present general design principles for engineering and discovering periodic systems with flat bands. Our paradigm exploits spin-orbit assisted orbital frustration on a lattice to produce band structures that contain multiplets of narrowly…

强关联电子 · 物理学 2023-03-02 Zachariah Addison , Nandini Trivedi

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…

材料科学 · 物理学 2021-02-04 Jiang Zeng , Ming Lu , Haiwen Liu , Hua Jiang , X. C. Xie

We report results of systematic analysis of various modes in the flatband lattice, based on the diamond-chain model with the on-site cubic nonlinearity, and its double version with the linear on-site mixing between the two lattice fields.…

斑图形成与孤子 · 物理学 2017-08-02 Krzysztof B. Zegadlo , Nir Dror , Nguyen Viet Hung , Marek Trippenbach , Boris A. Malomed

Flat bands imply lack of itinerancy due to some constraints that, in principle, results in anomalous behaviors with randomness. By a molecular orbital (MO) representation of the flat band systems, random MO models are introduced where the…

无序系统与神经网络 · 物理学 2022-01-05 Yasuhiro Hatsugai

We propose a new class of tight-binding models where a flat band is either gapped from or crossing right through a dispersive band on two-band (i.e., two sites/unit cell) tetragonal and honeycomb lattices. By imposing a condition on the…

材料科学 · 物理学 2017-10-27 Tatsuhiro Misumi , Hideo Aoki

Flat bands - single-particle energy bands - in tight-binding networks have attracted attention due to the presence of macroscopic degeneracies and their extreme sensitivity to perturbations. This makes them natural candidates for emerging…

光学 · 物理学 2024-03-27 Carlo Danieli , Alexei Andreanov , Daniel Leykam , Sergej Flach

We map certain highly correlated electron systems on lattices with geometrical frustration in the motion of added particles or holes to the spatial defect-defect correlations of dimer models in different geometries. These models are studied…

强关联电子 · 物理学 2007-05-23 F. Pollmann , J. J. Betouras , E. Runge

Electronic flat bands can lead to rich many-body quantum phases by quenching the electron's kinetic energy and enhancing many-body correlation. The reduced bandwidth can be realized by either destructive quantum interference in frustrated…

We report room temperature lasing in two-dimensional diffractive lattices of silver and gold plasmon particle arrays embedded in a dye-doped polymer that acts both as waveguide and gain medium. As compared to conventional dielectric…

光学 · 物理学 2014-09-26 A. Hinke Schokker , A. Femius Koenderink
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