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We study the quantum phase diagram of spinful fermions on kagome lattice with half-filled lowest flat bands. To understand the competition between magnetism, flat band frustration, and repulsive interactions, we adopt an extended $t$-$J$…

Strongly Correlated Electrons · Physics 2021-03-24 Yafei Ren , Hong-Chen Jiang , Zhenhua Qiao , D. N. Sheng

Engineering new quantum phases requires fine tuning of the electronic, orbital, spin, and lattice degrees of freedom. To this end, the kagome lattice with flat bands has garnered great attention by hosting various topological and correlated…

Coulomb interactions among charge carriers that occupy an electronic flat band have a profound impact on the macroscopic properties of materials. At sufficient strength, these interactions can give rise to captivating phenomena such as…

Strongly Correlated Electrons · Physics 2024-09-12 Caiyun Chen , Jiangchang Zheng , Yuman He , Xuzhe Ying , Soumya Sankar , Luanjing Li , Yizhou Wei , Xi Dai , Hoi Chun Po , Berthold Jäck

Kagome lattice has been actively studied for the possible realization of frustration-induced two-dimensional flat bands and a number of correlation-induced phases. Currently, the search for kagome systems with a nearly dispersionless flat…

Strongly Correlated Electrons · Physics 2024-06-27 Subhasis Samanta , Hwiwoo Park , Chanhyeon Lee , Sungmin Jeon , Hengbo Cui , Yong-Xin Yao , Jungseek Hwang , Kwang-Yong Choi , Heung-Sik Kim

The Kagome lattice Fermi-Hubbard model is one of the most physically rich, and at the same time most challenging, models to study in strongly-correlated physics. Among its special features are geometric frustration and a flat energy band…

Strongly Correlated Electrons · Physics 2026-04-30 Francisco Correia , Kyle Corbett , Ehsan Khatami

We theoretically investigate a model with electrons and holes whose Fermi surfaces are perfectly nested. The fermions are assumed to be interacting, both with each other and with the lattice. To suppress inhomogeneous states, a sufficiently…

Mesoscale and Nanoscale Physics · Physics 2025-11-25 Ya. I. Rodionov , A. V. Rozhkov , M. E. S. Beck , A. O. Sboychakov , K. I. Kugel , A. L. Rakhmanov

The discovery of a charge density wave in FeGe extends the discussion of the nature of charge order in kagome metals to a magnetic compound. Motivated by this observation, we combine density functional theory (DFT) and…

Strongly Correlated Electrons · Physics 2024-11-19 Pietro M. Bonetti , Yi Jiang , Haoyu Hu , Dumitru Călugăru , Michael M. Scherer , B. Andrei Bernevig , Laura Classen

Hexagonal Kagome lattice is a multiband system with a quadratic band crossing point, in contrast with honeycomb lattice with linear band crossing point, which has exotic correlated effect and can produce various novel quantum states. Here…

Strongly Correlated Electrons · Physics 2013-12-03 Heng-Fu Lin , Yao-Hua Chen , Hai-Di Liu , Hong-Shuai Tao , Wu-Ming Liu

We investigate the competing Fermi surface instabilities in the Kagome tight-binding model. Specifically, we consider onsite and short-range Hubbard interactions in the vicinity of van Hove filling of the dispersive Kagome bands where the…

Strongly Correlated Electrons · Physics 2013-03-27 Maximilian L. Kiesel , Christian Platt , Ronny Thomale

We study the presence of ferromagnetism in the phase diagram of the two-dimensional honeycomb lattice close to half-filling (graphene) as a function of the strength of the Coulomb interaction and doping. We show that exchange interactions…

Strongly Correlated Electrons · Physics 2009-11-11 N. M. R. Peres , F. Guinea , A. H. Castro Neto

We present the mean-field phase diagram of electrons in a kagome flat band with repulsive interactions. In addition to flat-band ferromagnetism, the Hartree-Fock analysis yields cascades of unconventional magnetic orders driven by onsite…

Strongly Correlated Electrons · Physics 2024-07-30 Yu-Ping Lin , Chunxiao Liu , Joel E. Moore

BaFe$_2$As$_2$ with transition-metal doping exhibits a variety of rich phenomenon from coupling of structure, magnetism, and superconductivity. Using density functional theory, we systematically compare the Fermi surfaces (FS), formation…

Computational Physics · Physics 2014-05-28 Suffian Khan , Aftab Alam , Duane Johnson

The exploration of topological electronic phases that result from strong electronic correlations is a frontier in condensed matter physics. One class of systems that is currently emerging as a platform for such studies are so-called kagome…

Interaction in a flat band is magnified due to the divergence in the density of states, which gives rise to a variety of many-body phenomena such as ferromagnetism and Wigner crystallization. Until now, however, most studies of the flat…

Materials Science · Physics 2018-08-01 Yuanping Chen , Shenglong Xu , Yuee Xie , Chengyong Zhong , Congjun Wu , S. B. Zhang

We consider the potential for novel forms of magnetism arising from the subtle interplay between electrons and spins in the under-screened kagome Kondo lattice model. At weak coupling, we show that incommensurate non-coplanar multi-wave…

Strongly Correlated Electrons · Physics 2015-08-05 Shivam Ghosh , Patrick O' Brien , Christopher L. Henley , Michael J. Lawler

Metallic magnetism is both ancient and modern, occurring in such familiar settings as the lodestone in compass needles and the hard drive in computers. Surprisingly, a rigorous theoretical basis for metallic ferromagnetism is still largely…

Strongly Correlated Electrons · Physics 2010-11-05 Seiji J. Yamamoto , Qimiao Si

We explore the interplay between nematicity~(spontaneous breaking of the sixfold rotational symmetry), superconductivity, and non-Fermi liquid behavior in partially flat-band models on the triangular lattice. A key result is that the…

Superconductivity · Physics 2023-04-04 Sharareh Sayyad , Motoharu Kitatani , Abolhassan Vaezi , Hideo Aoki

Rhombohedral graphene systems with different number of layers feature an abundance of correlated phases and superconducting states in experimental measurements with different doping and displacement fields. Some of the superconducting…

Strongly Correlated Electrons · Physics 2025-08-05 Guillermo Parra-Martínez , Alejandro Jimeno-Pozo , Jose Angel Silva-Guillén , Francisco Guinea

We study a two-dimensional system of spin-polarized fermions on the kagome lattice at filling fraction f=1/3 interacting through a nearest-neighbor interaction V. Above a critical interaction strength V_c a charge-density wave with a broken…

Strongly Correlated Electrons · Physics 2015-03-17 Andreas Ruegg , Gregory A. Fiete

We use density matrix renormalization group to investigate the phase diagram of the Fermi Hubbard model on a triangular lattice with densities above half-filling, $1 \leq n < 2$. We discuss the important role of kinetic magnetism and…

Strongly Correlated Electrons · Physics 2024-02-23 Ivan Morera , Eugene Demler
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