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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…

强关联电子 · 物理学 2012-03-21 Fa Wang , Ying Ran

Lattice geometry continues providing exotic topological phases in condensed matter physics. Exciting recent examples are the higher-order topological phases, manifesting via localized lower-dimensional boundary states. Moreover, flat…

超导电性 · 物理学 2023-10-12 Narayan Mohanta , Rahul Soni , Satoshi Okamoto , Elbio Dagotto

The dice lattice, containing a stack of three triangular lattices, has been proposed to exhibit nontrivial flat bands with nonzero Chern numbers, but unlike the honeycomb lattice it is much less studied. By employing density-functional…

强关联电子 · 物理学 2023-05-05 Okan Köksal , L. L. Li , Rossitza Pentcheva

Boundary conditions for the two-dimensional fermions in ribbons of the hexagonal lattice are studied in the dice model whose energy spectrum in infinite system consists of three bands with one completely flat band of zero energy. Like in…

强关联电子 · 物理学 2019-01-15 D. O. Oriekhov , E. V. Gorbar , V. P. Gusynin

In this paper, we study the topological properties of magnons on a dice lattice, also known as the dual of a more widely studied kagome lattice. This structure has a central atom at the center of the honeycomb lattice, which leads to the…

介观与纳米尺度物理 · 物理学 2024-10-01 Shreya Debnath , Saurabh Basu

We report the results of a Hartree-Fock study applied to interacting electrons moving in two different bipartite lattices: the dice and the Lieb lattices, at half-filling. Both lattices develop ferrimagnetic order in the phase diagram…

强关联电子 · 物理学 2021-12-22 Rahul Soni , Amit Bikram Sanyal , Nitin Kaushal , Satoshi Okamoto , Adriana Moreo , Elbio Dagotto

The long-sought dice lattice flat band has recently been discovered for the first time in two-dimensional layered electride yttrium monochloride (YCl) [Nature Communications 17, 2213 (2026)]. While essential flat band features of YCl were…

材料科学 · 物理学 2026-05-05 Jianqi Zhong , Songyuan Geng , Teng-Fei Ying , Haoxiang Li , Benjamin T. Zhou

Ribbons of two-dimensional lattices have properties depending sensitively on the morphology of the two edges. For regular ribbons with two parallel straight edges, the atomic chains terminating the two edges may have more than one choices…

介观与纳米尺度物理 · 物理学 2023-04-27 Lei Hao

Topological flat bands play an essential role in inducing exotic interacting physics, ranging from fractional Chern insulators to superconductivity, in moir\'e materials. In this work, we propose a design principle for realizing topological…

介观与纳米尺度物理 · 物理学 2026-02-03 Yunzhe Liu , Anoj Aryal , Kaijie Yang , Dumitru Calugaru , Zhenyao Fang , Haoyu Hu , Qimin Yan , B. Andrei Bernevig , Chao-xing Liu

Flat band materials such as the kagome metals or moir\'e superlattice systems are of intense current interest. Flat bands can result from the electron motion on numerous (special) lattices and usually exhibit topological properties. Their…

强关联电子 · 物理学 2024-05-28 Joseph G. Checkelsky , B. Andrei Bernevig , Piers Coleman , Qimiao Si , Silke Paschen

Electronic correlation effects are manifested in quantum materials when either the onsite Coulomb repulsion is large or the electron kinetic energy is small. The former is the dominant effect in the cuprate superconductors or heavy fermion…

We propose a Haldane-like model of dice lattice analogous to graphene and explore its topological properties within the tight-binding formalism. The topological phase boundary of the system is identical to that of Haldane model of graphene…

介观与纳米尺度物理 · 物理学 2020-06-04 Bashab Dey , Priyadarshini Kapri , Ojasvi Pal , Tarun Kanti Ghosh

We consider ultracold atoms in a two-dimensional optical lattice of the dice geometry in a tight-binding regime. The atoms experience a laser-assisted tunneling between the nearest neighbour sites of the dice lattice accompanied by the…

We study characteristic band structures of the fermions on a square kagome lattice, one of the two-dimensional lattices hosting a corner-sharing network of triangles. We show that the band structures of the nearest-neighbor tight-binding…

介观与纳米尺度物理 · 物理学 2021-08-05 Tomonari Mizoguchi , Yoshihito Kuno , Yasuhiro Hatsugai

We investigate the Hubbard Hamiltonian on ladders where the number of sites per rung alternates between two and three. These geometries are bipartite, with a non-equal number of sites on the two sublattices. Thus they share a key feature of…

强关联电子 · 物理学 2021-05-05 Kaouther Essalah , Ali Benali , Anas Abdelwahab , Eric Jeckelmann , Richard T. Scalettar

$\mathrm{Fe_{n=4,5}GeTe_2}$ exhibits quasi-two-dimensional properties as a promising candidate for a near-room-temperature ferromagnet, which has attracted great interest. In this work, we notice that the crystal lattice of…

材料科学 · 物理学 2023-11-22 Fuyi Wang , Haijun Zhang

In this work, we propose a new and simple model that supports Chern semimetals. These new gapless topological phases share several properties with the Chern insulators like a well-defined Chern number associated to each band, topologically…

介观与纳米尺度物理 · 物理学 2015-12-09 Giandomenico Palumbo , Konstantinos Meichanetzidis

Flat bands and dispersive Dirac bands are known to coexist in the electronic bands in a two-dimensional kagome lattice. Including the relativistic spin-orbit coupling, such systems often exhibit nontrivial band topology, allowing for…

强关联电子 · 物理学 2022-08-09 Satoshi Okamoto , Narayan Mohanta , Elbio Dagotto , D. N. Sheng

We consider the effect of spin-orbit coupling on a two-dimensional Kondo Lattice model, in which conduction electrons are antiferromagnetically coupled to a Yao-Lee spin liquid. When a Rashba spin-orbit interaction and a nearest-neighbor…

强关联电子 · 物理学 2025-01-07 Zekun Zhuang , Piers Coleman

Flat bands can induce strong electron correlation effects that help stabilize both magnetic and superconducting states. Here, we carry out angle-resolved photoemission spectroscopy and density functional theory calculations to study the…

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