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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

Flat-band systems are highly sensitive to external perturbations, providing a route to study unconventional localization, transport, and spin physics. Lieb lattice, a two-dimensional geometry with an inherent flat band, exemplifies this…

Quantum Gases · Physics 2025-08-29 Nana Chang , Xiaoji Zhou

Materials with flat bands can serve as a promising platform to investigate strongly interacting phenomena. However, experimental realization of ideal flat bands is mostly limited to artificial lattices or moir\'e systems. Here we report a…

Motivated by new capabilities to realise artificial gauge fields in ultracold atomic systems, and by their potential to access correlated topological phases in lattice systems, we present a new strategy for designing topologically…

Quantum Gases · Physics 2012-11-22 N. R. Cooper , R. Moessner

We present two methods for constructing a flat band (FB) system having a flat energy dispersion over the entire Brillouin zone within tight-binding model, where the resulting Hamiltonian may not be easily obtained by existing methods based…

Materials Science · Physics 2021-05-19 Toshitaka Ogata , Mitsuaki Kawamura , Taisuke Ozaki

We develop a comprehensive theoretical framework that unifies quantum emission dynamics in one-dimensional Lieb lattices, bridging the gap between ideal flat-band coherence and realistic narrow-band dissipation. By coupling an emitter to…

Optics · Physics 2026-05-08 Zhiyong Liu , Yue Sun , Ying Hu

Flat electronic bands are expected to show proportionally enhanced electron correlations, which may generate a plethora of novel quantum phases and unusual low-energy excitations. They are increasingly being pursued in $d$-electron-based…

Strongly Correlated Electrons · Physics 2024-06-21 Lei Chen , Fang Xie , Shouvik Sur , Haoyu Hu , Silke Paschen , Jennifer Cano , Qimiao Si

The possibility of engineering experimentally viable systems that realize gauge fluxes within plaquettes of hopping have been subject of search for decades due to vast amounts of theoretical study. This is of particular interest for…

Mesoscale and Nanoscale Physics · Physics 2019-12-04 Toshikaze Kariyado , Robert-Jan Slager

The Hubbard model with geometrical frustration is investigated in a metallic phase close to half-filling. We calculate the single particle spectral function for the triangular lattice within dynamical cluster approximation, which is further…

Strongly Correlated Electrons · Physics 2009-11-07 Yoshiki Imai , Norio Kawakami

We consider a deformed flat-band Hubbard model under a periodic boundary condition in arbitrary dimensions. We show that the ground state is only all-spin-up or -down state. We obtain upper and lower bounds of the one-magnon spin-wave…

Strongly Correlated Electrons · Physics 2007-05-23 Makoto Homma

It has long been noticed that special lattices contain single-electron flat bands (FB) without any dispersion. Since the kinetic energy of electrons is quenched in the FB, this highly degenerate energy level becomes an ideal platform to…

Strongly Correlated Electrons · Physics 2014-07-16 Zheng Liu , Feng Liu , Yong-Shi Wu

Using the conventional $T$-matrix approach, we discuss gapped phases in 1D, 2D, and 3D spin systems (both with and without a long range magnetic order) with bond disorder and with weakly interacting bosonic elementary excitations. This work…

Strongly Correlated Electrons · Physics 2014-11-04 O. I. Utesov , A. V. Sizanov , A. V. Syromyatnikov

Frustrated systems, typically characterized by competing interactions that cannot all be simultaneously satisfied, display rich behaviours not found elsewhere in nature. Artificial spin ice takes a materials-by-design approach to studying…

Mesoscale and Nanoscale Physics · Physics 2017-01-23 Jasper Drisko , Thomas Marsh , John Cumings

The forthcoming communication systems are advancing towards improved flexibility in various aspects. Improved flexibility is crucial to cater diverse service requirements. This letter proposes a novel waveform design scheme that exploits…

Signal Processing · Electrical Eng. & Systems 2019-02-19 Mostafa Ibrahim , Ali Fatih Demir , Huseyin Arslan

The role of the multiorbital effects on the emergence of frustrated electronic orders on the triangular lattice at half filling is investigated through an extended spinless fermion Hubbard model. By using two complementary approaches,…

Strongly Correlated Electrons · Physics 2015-11-09 C. Février , S. Fratini , A. Ralko

Certain tight binding lattices host macroscopically degenerate flat spectral bands. Their origin is rooted in local symmetries of the lattice, with destructive interference leading to the existence of compact localized eigenstates. We study…

Disordered Systems and Neural Networks · Physics 2017-01-13 Daniel Leykam , Joshua D. Bodyfelt , Anton S. Desyatnikov , Sergej Flach

We consider the spin--orbital model for a magnetic system with singly occupied but triply degenerate $t_{2g}$ orbitals coupled into a planar, triangular lattice, as would be exemplified by NaTiO$_2$. We investigate the ground states of the…

Strongly Correlated Electrons · Physics 2008-10-15 Bruce Normand , Andrzej M. Oles

'Magic'-angle twisted bilayer graphene has received a lot of interest due to its flat bands with potentially non-trivial topology that lead to intricate correlated phases. A spectrum with flat bands, however, does not require a twist…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Anastasiia Skurativska , Stepan S. Tsirkin , Fabian D Natterer , Titus Neupert , Mark H Fischer

Flat-band physics has attracted much attention in recently years because of its interesting properties and important applications. Some typical lattices have been proposed to generate flat bands, such as Kagome and Lieb lattices. The flat…

Materials Science · Physics 2021-08-17 Siwen Li , Yuee Xie , Yuanping Chen

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…

Strongly Correlated Electrons · Physics 2019-06-12 Tomonari Mizoguchi , Masafumi Udagawa