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The kagome lattice, whose electronic valence band (VB) structure includes two Dirac bands and one flat band, offers a rich space to realise tuneable topological and strongly correlated electronic phases in two-dimensional (2D) and layered…

Strongly Correlated Electrons · Physics 2021-09-16 Dhaneesh Kumar , Jack Hellerstedt , Bernard Field , Benjamin Lowe , Yuefeng Yin , Nikhil V. Medhekar , Agustin Schiffrin

It is shown that the semimetallic state of the two-dimensional honeycomb lattice with a point-like Fermi surface is unstable towards a canted antiferromagnetic insulator upon application of an in-plane magnetic field. This instability is…

Strongly Correlated Electrons · Physics 2009-07-16 M. Bercx , T. C. Lang , F. F. Assaad

A geometrically frustrated lattice may host frustrated electron spin or charge states that spawn exotic quantum phases. We show that a newly synthesized metal-organic framework of Cu-Hexaaminobenzene [Cu$_3$(HAB)$_2$] exhibits a multi…

Strongly Correlated Electrons · Physics 2019-08-16 Wei Jiang , Zheng Liu , Jia-Wei Mei , Bin Cui , Feng Liu

In the last years, kagome materials received massive attention by virtue of being candidate hosts for a large variety of quantum phases: spin liquids, unconventional superconductivity, and topological phases of matter, to name the more…

Strongly Correlated Electrons · Physics 2025-07-10 Simone Ciceri , Matteo Massaro , Lars Fritz

The recent proposal of Romero-Isart {\em et al.}~\cite{romero-isart_superconducting_2013} to utilize the vortex lattice phases of superconducting materials to prepare a lattice for ultra-cold atoms-based quantum emulators, raises the need…

Superconductivity · Physics 2015-09-01 Qingyou Meng , Christopher N. Varney , Hans Fangohr , Egor Babaev

Kondo screening of local moments in normal metals typically leads to hybridized conduction and valence bands separated by a Kondo gap, resulting in an insulating state at half-band filling. We show a dramatic change of this scenario in a…

Strongly Correlated Electrons · Physics 2026-04-17 Hanting Zhong , Shuxiang Yang , Chao Cao , Xiao-Yong Feng , Jianhui Dai

We study the XXZ spin-one quantum magnet on the kagome lattice as an example where quantum fluctuations on highly degenerate classical ground states lead to various exotic quantum ground states. Previous studies have predicted several…

Strongly Correlated Electrons · Physics 2009-05-11 Sergei V. Isakov , Yong Baek Kim

Metallic kagome systems have attracted considerable interest in recent years, as they provide a rich platform for studying phenomena associated with their distinctive band structure. The coexistence of bands with Dirac points similar to…

Strongly Correlated Electrons · Physics 2025-12-22 Patricia A Almeida , George B Martins , Sergio Ulloa

Periodic systems feature the Hofstadter butterfly spectrum produced by Brown--Zak minibands of electrons formed when magnetic field flux through the lattice unit cell is commensurate with flux quantum and manifested by magneto-transport…

In spin-charge coupled systems, geometrical frustration of underlying lattice structures can give rise to nontrivial magnetic orders and electronic states. Here we explore such a possibility in the Kondo lattice model with classical…

Strongly Correlated Electrons · Physics 2015-05-20 Yutaka Akagi , Yukitoshi Motome

Mechanical deformations of graphene induce a term in the Dirac Hamiltonian which is reminiscent of an electromagnetic vector potential. Strain gradients along particular lattice directions induce local pseudomagnetic fields and substantial…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Eran Sela , Yakov Bloch , Felix von Oppen , Moshe Ben Shalom

Special arrangements of atoms with more than one atom per unit cell, including honeycomb or kagome (woven bamboo mat) lattices, can host propagating excitations with non-trivial topology as defined by their evolution along closed paths in…

A kagome lattice naturally features Dirac fermions, flat bands and van Hove singularities in its electronic structure. The Dirac fermions encode topology, flat bands favour correlated phenomena such as magnetism, and van Hove singularities…

Strongly Correlated Electrons · Physics 2022-12-23 Jia-Xin Yin , Biao Lian , M Zahid Hasan

We construct a physically realistic and analytically tractable model for spin-1 systems with orbital degeneracy on the honeycomb lattice, relevant to honeycomb materials with large Hund's and weak spin-orbit couplings, and two electrons in…

Strongly Correlated Electrons · Physics 2026-04-01 Lucile Savary

The electronic implications of strain in graphene can be captured at low energies by means of pseudovector potentials which can give rise to pseudomagnetic fields. These strain-induced vector potentials arise from the local perturbation to…

Mesoscale and Nanoscale Physics · Physics 2013-04-15 Alexander L. Kitt , Vitor M. Pereira , Anna K. Swan , Bennett B. Goldberg

Emergent phases often appear when the electronic kinetic energy is comparable to the Coulomb interactions. One approach to seek material systems as hosts of such emergent phases is to realize localization of electronic wavefunctions due to…

Quantum spin liquids form a novel class of matter where, despite the existence of strong exchange interactions, spins do not order down to the lowest measured temperature. Typically, these occur in lattices that act to frustrate the…

Strongly Correlated Electrons · Physics 2016-12-05 M. R. Norman

Kagome lattice hosts a plethora of quantum states arising from the interplay of topology, spin-orbit coupling, and electron correlations. Here, we report symmetry-breaking electronic orders tunable by an applied magnetic field in a model…

Materials Science · Physics 2023-11-13 Huimin Zhang , Basu Dev Oli , Qiang Zou , Xu Guo , Zhengfei Wang , Lian Li

The low energy spectrum of a particle in planar honeycomb lattices is conical, which leads to the unusual electronic properties of graphene. In this letter we calculate the quasienergy spectra of a charged particle in honeycomb lattices…

Other Condensed Matter · Physics 2015-05-13 Wei Zhang , Ping Zhang , Suqing Duan , Xian-Geng Zhao