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Related papers: Flat bands and Dirac cones in breathing lattices

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The quest for quantum degenerate Fermi gases interacting through the anisotropic and long-range dipole-dipole interaction is an exciting and fast developing branch within the cold-atoms research program. Recent experimental progress in…

Quantum Gases · Physics 2011-09-09 Aristeu R. P. Lima , Axel Pelster

Dirac points lie at the heart of many fascinating phenomena in condensed matter physics, from massless electrons in graphene to the emergence of conducting edge states in topological insulators [1, 2]. At a Dirac point, two energy bands…

Quantum Gases · Physics 2013-06-26 Leticia Tarruell , Daniel Greif , Thomas Uehlinger , Gregor Jotzu , Tilman Esslinger

Geometric frustration of particle motion in a kagome lattice causes the single-particle band structure to have a flat s-orbital band. We probe this band structure by exciting a Bose-Einstein condensate into excited Bloch states of an…

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…

Materials Science · Physics 2025-05-20 Fatmagül Katmer , Milena Jovanovic , Jennifer Cano , Lukas Muechler , Leslie M. Schoop

We theoretically investigate spin-lattice coupling (SLC) effects on the in-field ordering properties of classical Heisenberg antiferromagnets on the breathing pyrochlore lattice. Here, we use the two possible simplified models describing…

Strongly Correlated Electrons · Physics 2021-12-07 Kazushi Aoyama , Masaki Gen , Hikaru Kawamura

Kagome materials are at the frontier of condensed matter physics. An ideal kagome lattice features only one geometrically frustrated flat band spanning the entire momentum space and a single Dirac cone at the Brillouin-zone corners.…

Discrete breathers (nonlinear localised modes) have been shown to exist in various nonlinear Hamiltonian lattice systems. In the present paper we study the dynamics of classical spins interacting via Heisenberg exchange on spatial…

Condensed Matter · Physics 2009-10-31 Y. Zolotaryuk , S. Flach , V. Fleurov

We study the dispersion relation of a metamaterial composed of metallic disks and bars arranged to have kagome symmetry and find that a plasmonic flat band is formed by the topological nature of the kagome lattice. To confirm the flat-band…

Optics · Physics 2012-05-21 Yosuke Nakata , Takanori Okada , Toshihiro Nakanishi , Masao Kitano

The interesting properties of Kagome bands, consisting of Dirac bands and a flat band, have attracted extensive attention. However, the materials with only one Kagome band around the Fermi level cannot possess physical properties of Dirac…

Materials Science · Physics 2018-07-10 Sili Huang , Yuee Xie , Chengyong Zhong , Yuanping Chen

The hedgehog lattice, a three-dimensional periodic array of magnetic monopoles and antimonopoles, is known to be realized in the presence of the Dzyaloshinskii-Moriya (DM) interaction. Here, we demonstrate by means of Monte Carlo…

Strongly Correlated Electrons · Physics 2021-01-18 Kazushi Aoyama , Hikaru Kawamura

In recent years, kagome lattices have garnered significant attention for their diverse properties in topology, magnetism, and electron correlations. However, the exploration of breathing kagome lattices, which exhibit dynamic breathing…

Materials Science · Physics 2025-02-26 Kai-Qi Wang , Jun-Ding Zheng , Wen-Yi Tong , Chun-Gang Duan

In this paper we report the latest results of exact diagonalizations of SU(2) invariant models on various lattices (square, triangular, hexagonal, checkerboard and kagome lattices). We focus on the low lying levels in each S sector. The…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Claire Lhuillier

We study two models of correlated bond- and site-disorder on the kagome lattice considering both translationally invariant and completely disordered systems. The models are shown to exhibit a perfectly flat ground state band in the presence…

Strongly Correlated Electrons · Physics 2018-12-12 Thomas Bilitewski , Roderich Moessner

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 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

We investigate the spin-1/2 Heisenberg antiferromagnet on the kagome lattice with breathing anisotropy (i.e. with weak and strong triangular units), constructing an improved simplex Resonating Valence Bond (RVB) ansatz by successive…

Strongly Correlated Electrons · Physics 2020-05-06 Mohsin Iqbal , Didier Poilblanc , Norbert Schuch

After the discovery of graphene and its many fascinating properties, there has been a growing interest for the study of "artificial graphenes". These are totally different and novel systems which bear exciting similarities with graphene.…

Mesoscale and Nanoscale Physics · Physics 2019-06-20 Gilles Montambaux

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

A ferromagnet with spin anisotropies on the 2D Kagome lattice is theoretically studied. This is a typical example of the flat-band ferromagnet. The Berry phase induced by the tilting of the spins opens the band gap and quantized Hall…

Strongly Correlated Electrons · Physics 2009-10-31 Kenya Ohgushi , Shuichi Murakami , Naoto Nagaosa

Thermal fluctuations lift the high ground state degeneracy of the classical nearest neighbour pyrochlore antiferromagnet, with easy plane anisotropy, giving a first order phase transition to a long range ordered state. We show, from spin…

Condensed Matter · Physics 2009-11-10 J D M Champion , P C W Holdsworth