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We numerically study the spin-1/2 antiferromagnetic Heisenberg model on the kagom\'{e} lattice using the density-matrix renormalization group (DMRG) method. We find that the ground state is a magnetically disordered spin liquid,…

Strongly Correlated Electrons · Physics 2008-09-11 H. C. Jiang , Z. Y. Weng , D. N. Sheng

Motivated by recent experiments on Nd-langasite, we consider the effect of strong easy axis single-ion anisotropy $D$ on $S > 3/2$ spins interacting with antiferromagnetic exchange $J$ on the Kagome lattice. When $T \ll DS^2$, the collinear…

Strongly Correlated Electrons · Physics 2015-05-13 Arnab Sen , Kedar Damle , R. Moessner

A spinel related oxide, Na4Ir3O8, was found to have a three dimensional network of corner shared Ir4+ (t2g^5) triangles. This gives rise to an antiferromagnetically coupled S = 1/2 spin system formed on a geometrically frustrated…

Strongly Correlated Electrons · Physics 2009-11-13 Yoshihiko Okamoto , Minoru Nohara , Hiroko Aruga-Katori , Hidenori Takagi

The Heisenberg antiferromagnet on the kagome lattice is an archetypal instance of how large ground state degeneracies arise, and how they may get resolved by thermal and quantum fluctuations. Augmenting the Heisenberg model by chiral spin…

Strongly Correlated Electrons · Physics 2022-10-11 Jackson Pitts , Finn Lasse Buessen , Roderich Moessner , Simon Trebst , Kirill Shtengel

Kagome lattice Heisenberg antiferromagnets are known to be highly sensitive to perturbations caused by structural disorder. NMR is a local probe ideally suited for investigating such disorder-induced effects, but in practice large…

Strongly Correlated Electrons · Physics 2023-01-09 Weishi Yuan , Jiaming Wang , Philip M. Singer , Rebecca W. Smaha , Jiajia Wen , Young S. Lee , Takashi Imai

Motivated by recent numerical and experimental studies of the spin-1/2 Heisenberg antiferromagnet on kagome, we formulate a many-body model for fermionic spinons introduced by us earlier [Phys. Rev. Lett. 103, 187203 (2009)]. The spinons…

Strongly Correlated Electrons · Physics 2013-06-10 Zhihao Hao , Oleg Tchernyshyov

Recent experiments have identified fascinating electronic orders in kagome materials, including intriguing superconductivity, charge density wave (CDW) and nematicity. In particular, some experimental evidence for AV$_3$Sb$_5$ (A = K,Rb,Cs)…

Strongly Correlated Electrons · Physics 2026-04-07 Rui-Qing Fu , Jun Zhan , Matteo Dürrnagel , Hendrik Hohmann , Ronny Thomale , Jiangping Hu , Ziqiang Wang , Sen Zhou , Xianxin Wu

The spiral spin liquid (SSL) is a highly degenerate state characterized by a continuous contour or surface in reciprocal space spanned by a spiral propagation vector. Although the SSL state has been predicted in a number of various…

ZnCu$_{3}$(OH)$_{6}$Cl$_{2}$ ($S=1/2$) is a promising new candidate for an ideal Kagom\'e Heisenberg antiferromagnet, because there is no magnetic phase transition down to $\sim$50 mK. We investigated its local magnetic and lattice…

Strongly Correlated Electrons · Physics 2008-10-03 T. Imai , E. A. Nytko , B. M. Bartlett , M. P. Shores , D. G. Nocera

The ground state of the simple Heisenberg nearest-neighbor quantum kagome antiferromagnetic model is a magnetically disordered spin liquid, yet various perturbations may lead to fundamentally different states. Here we disclose the origin of…

Strongly Correlated Electrons · Physics 2020-07-10 T. Arh , M. Gomilšek , P. Prelovšek , M. Pregelj , M. Klanjšek , A. Ozarowski , S. J. Clark , T. Lancaster , W. Sun , J. -X. Mi , A. Zorko

This is a review of ground-state features of the s=1/2 Heisenberg antiferromagnet on two-dimensional lattices. A central issue is the interplay of lattice topology (e.g. coordination number, non-equivalent nearest-neighbor bonds, geometric…

Strongly Correlated Electrons · Physics 2016-11-28 J. Richter , J. Schulenburg , A. Honecker

Recent interest in honeycomb lattice materials has focused on their potential to host quantum spin liquid (QSL) states. Variations in bond angles and spin allow a range of interesting behaviors on this lattice, from the predicted QSL ground…

Strongly Correlated Electrons · Physics 2021-09-15 Veronica J. Stewart , Juan R. Chamorro , Tyrel M. McQueen

We study spin S=1 and S=3/2 Heisenberg antiferromagnets on a cubic lattice focusing on spin solid states. Using Schwinger boson formulation for spins, we start in a U(1) spin liquid phase proximate to Neel phase and explore possible…

Strongly Correlated Electrons · Physics 2009-11-13 Karol Gregor , Olexei I. Motrunich

One main theme in current condensed matter physics is the search of quantum spin liquid (QSL), an exotic magnetic state with strongly-fluctuating and highly-entangled spins down to zero temperature without static order. However, there is no…

Strongly Correlated Electrons · Physics 2023-01-10 Chengpeng Tu , Dongzhe Dai , Xu Zhang , Chengcheng Zhao , Xiaobo Jin , Bin Gao , Tong Chen , Pengcheng Dai , Shiyan Li

The spin wave excitations of the ideal S=5/2 Kagome lattice antiferromagnet KFe3(OH)6(SO4)2 have been measured using high-resolution inelastic neutron scattering. We directly observe a flat mode which corresponds to a lifted "zero energy…

Strongly Correlated Electrons · Physics 2008-10-31 K. Matan , D. Grohol , D. G. Nocera , T. Yildirim , A. B. Harris , S. H. Lee , S. E. Nagler , Y. S. Lee

Motivated by recent experiments on the Heisenberg S=1/2 quantum spin liquid candidate material kapellasite, we classify all possible chiral (time-reversal symmetry breaking) spin liquids with fermionic spinons on the kagome lattice. We…

Strongly Correlated Electrons · Physics 2016-02-05 Samuel Bieri , Laura Messio , Bernard Bernu , Claire Lhuillier

Pinch point singularities, associated with flat band magnetic excitations, are tell-tale signatures of Coulomb spin liquids. While their properties in the presence of quantum fluctuations have been widely studied, the fate of the…

Quantum spin liquids (QSLs) are an exotic state of matter that is subject to extensive research. However, the relationship between the ubiquitous disorder and the QSL behaviors is still unclear. Here, by performing comparative experimental…

We study the properties of the Heisenberg antiferromagnet with spatially anisotropic nearest-neighbour exchange couplings on the kagome net, i.e. with coupling J in one lattice direction and couplings J' along the other two directions. For…

Strongly Correlated Electrons · Physics 2009-11-13 T. Yavors'kii , W. Apel , H. -U. Everts

Motivated by the search for chiral spin liquids (CSL), we consider a simple model defined on the kagome lattice of interacting SU(3) spins (in the fundamental representation) including two-site and three-site permutations between nearest…