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Related papers: A Recipe for Flat Bands in Pyrochlore Materials: A…

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We examine the appearance of superconductivity in the strong-coupling limit of the Hubbard model on the pyrochlore lattice. We focus upon the limit of half filling, where the normal-state band structure realizes a $j=3/2$ semimetal.…

Superconductivity · Physics 2022-04-14 Shingo Kobayashi , Ankita Bhattacharya , Carsten Timm , P. M. R. Brydon

The interplay of hopping parameters that can give rise to flat bands in consequence of quantum interference in electronic, photonic, and other interesting materials has become an extensively studied topic. Most of the recognized structures…

Materials Science · Physics 2019-08-02 Chi-Cheng Lee , Antoine Fleurence , Yukiko Yamada-Takamura , Taisuke Ozaki

We study instabilities of single-species fermionic atoms in the p-orbital bands in two-dimensional optical lattices at noninteger filling against interactions. Charge density wave and orbital density wave orders with stripe or checkerboard…

Quantum Gases · Physics 2012-05-09 Zixu Zhang , Xiaopeng Li , W. Vincent Liu

In order to analytically capture and identify peculiarities in the electronic structure of silicene, Weaire-Thorpe(WT) model, a standard model for treating three-dimensional (3D) silicon, is applied to silicene with the buckled 2D…

Mesoscale and Nanoscale Physics · Physics 2015-03-30 Y. Hatsugai , K. Shiraishi , H. Aoki

We point out the possibility of nearly flat band with Chern number C=2 on the dice lattice in a simple nearest-neighbor tightbinding model. This lattice can be naturally formed by three adjacent $(111)$ layers of cubic lattice, which may be…

Strongly Correlated Electrons · Physics 2012-03-21 Fa Wang , Ying Ran

A bipartite lattice with chiral symmetry is known to host zero energy flat bands if the numbers of the two sublattices are different. We demonstrate that this mechanism of producing flat bands can be realized on graphene by introducing…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Matheus S. M. de Sousa , Fujun Liu , Fanyao Qu , Wei Chen

We present the Stagome lattice, a variant of the Kagome lattice, where one can make any of the bands completely flat by tuning an externally controllable magnetic flux. This systematically allows the energy of the flat band to coincide with…

Strongly Correlated Electrons · Physics 2025-03-03 Biplab Pal , Georges Bouzerar

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…

Flat bands, in which kinetic energy is quenched and quantum states become macroscopically degenerate, host a rich variety of correlated and topological phases, from unconventional superconductors to fractional Chern insulators. In Hermitian…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 Juan Pablo Esparza , Vladimir Juričić

The geometric properties of a lattice can have profound consequences on its band spectrum. For example, symmetry constraints and geometric frustration can give rise to topologicially nontrivial and dispersionless bands, respectively.…

Mesoscale and Nanoscale Physics · Physics 2020-12-25 Christie S. Chiu , Da-Shuai Ma , Zhi-Da Song , B. Andrei Bernevig , Andrew A. Houck

Flat bands have attracted considerable interest in condensed matter physics because they provide a fertile platform for realizing strongly correlated and topological quantum phases. To date, however, most studies have focused on flat bands…

Superconductivity · Physics 2026-03-31 Keiji Yada , Yuri Fukaya , Yukio Tanaka

Electronic flat bands in momentum space, arising from strong localization of electrons in real space, are an ideal stage to realize strong correlation phenomena. In certain lattices with built-in geometrical frustration, electronic…

The majority of quantum simulators treat simplified one-band strongly correlated models, whereas multiple bands are needed to describe materials with intermediate correlation. We investigate the sensitivity of multiband quantum simulators…

Atomic Physics · Physics 2017-04-05 J. P. Hague , C. MacCormick

We propose a simple family of valence-bond crystals as potential ground states of the $S=1/2$ and $S=1$ Heisenberg antiferromagnet on the pyrochlore lattice. Exponentially numerous in the linear size of the system, these can be visualized…

Strongly Correlated Electrons · Physics 2023-09-04 Robin Schäfer , Benedikt Placke , Owen Benton , Roderich Moessner

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

Orbital degrees of freedom play an important role for understanding the emergence of unconventional quantum phases. Ultracold atomic gases in optical lattices provide a wonderful platform to simulate orbital physics. In this work, we…

Quantum Gases · Physics 2024-07-02 Jiaqi Wu , Hui Tan , Rui Cao , Jianmin Yuan , Yongqiang Li

We study the prototype 5d pyrochlore iridate Y2Ir2O7 from first principles using the local density approximation and dynamical mean-field theory (LDA+DMFT). We map out the phase diagram in the space of temperature, onsite Coulomb repulsion…

Strongly Correlated Electrons · Physics 2015-10-14 Hiroshi Shinaoka , Shintaro Hoshino , Matthias Troyer , Philipp Werner

A pyrochlore lattice is considered where the average electron number of electrons per site is half--integer, concentrating on the case of exactly half an electron per site. Strong on-site repulsions are assumed, so that all sites are either…

Strongly Correlated Electrons · Physics 2017-09-27 Peter Fulde , Karlo Penc , Nic Shannon

We perform a systematic study of the signatures of fragile topology in over 50 nonmagnetic two-dimensional materials with formula AB$_2$, belonging to space group $P$-$3m1$. Using group theory analysis in the framework of topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Olga Arroyo-Gascón , Sergio Bravo , Leonor Chico , Mónica Pacheco

Topological Quantum Chemistry and Symmetry-Based Indicators have facilitated large-scale searches for materials with topological properties at the Fermi energy ($E_{F}$). We report the completion of a publicly accessible catalog of stable…