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The Dirac spin liquid ground state of the spin 1/2 Heisenberg kagome antiferromagnet has potential instabilities[1-4]. This has been suggested as the reason why it is not strongly supported in large-scale numerical calculations[5]. However,…

Strongly Correlated Electrons · Physics 2013-11-13 Bryan Clark , Jesse Kinder , Eric Neuscamman , Garnet Kin-Lic Chan , Michael J. Lawler

We report muSR experiments on Mg{x}Cu{4-x}(OH)6Cl2 with x \sim 1, a new material isostructural to Herbertsmithite exhibiting regular kagome planes of spin 1/2 (Cu^{2+}), and therefore a candidate for a spin liquid ground state. We evidence…

Strongly Correlated Electrons · Physics 2014-10-06 E. Kermarrec , P. Mendels , F. Bert , R. H. Colman , A. S. Wills , P. Strobel , P. Bonville , A. Hillier , A. Amato

Motivated by recent experimental observations in $\alpha$-RuCl$_3$, we study the $K$-$\Gamma$ model on the honeycomb lattice in an external magnetic field. By a slave-particle representation and Variational Monte Carlo calculations, we…

Strongly Correlated Electrons · Physics 2018-05-15 Zheng-Xin Liu , Bruce Normand

Spin liquids are exotic phases of quantum matter challenging Landau's paradigm of symmetry-breaking phase transitions. Despite strong exchange interactions, spins do not order or freeze down to zero temperature. While well-established for…

Strongly Correlated Electrons · Physics 2020-04-22 P. Khuntia , M. Velazquez , Q. Barthélemy , F. Bert , E. Kermarrec , A. Legros , B. Bernu , L. Messio , A. Zorko , P. Mendels

Kagome lattice antiferromagnets exhibit plethora of intriguing phases of matter. Particularly interesting state appears at the magnetic field-induced $1/9$ magnetization plateau observed in several recent experimental studies. The nature…

Strongly Correlated Electrons · Physics 2025-12-15 Tanja Đurić , Pinaki Sengupta

The nature of the ground state for the $S = 1/2$ kagome Heisenberg antiferromagnet (KHAF) has been elusive. We revisit this challenging problem and provide numerical evidence that its ground state might be a chiral spin liquid. Combining…

Strongly Correlated Electrons · Physics 2024-02-06 Rong-Yang Sun , Hui-Ke Jin , Hong-Hao Tu , Yi Zhou

The kagome Heisenberg antiferromagnet is a leading candidate in the search for a spin system with a quantum spin-liquid ground state. The nature of its ground state remains a matter of great debate. We conducted 17-O single crystal NMR…

Strongly Correlated Electrons · Physics 2015-11-09 M. Fu , T. Imai , T. -H. Han , Y. S. Lee

We perform a density-matrix renormalization group (DMRG) study of the S=1/2 Heisenberg antiferromagnet on the kagome lattice to identify the conjectured spin liquid ground state. Exploiting SU(2) spin symmetry, which allows us to keep up to…

Strongly Correlated Electrons · Physics 2012-08-15 Stefan Depenbrock , Ian P. McCulloch , Ulrich Schollwoeck

The spin-1/2 kagome lattice antiferromagnet herbertsmithite, ZnCu$_{3}$(OH)$_{6}$Cl$_{2}$, is a candidate material for a quantum spin liquid ground state. We show that the magnetic response of this material displays an unusual scaling…

Strongly Correlated Electrons · Physics 2010-04-07 J. S. Helton , K. Matan , M. P. Shores , E. A. Nytko , B. M. Bartlett , Y. Qiu , D. G. Nocera , Y. S. Lee

We report variational Monte Carlo calculations for the spin-$\frac{1}{2}$ Heisenberg model on the kagome lattice in the presence of both nearest-neighbor $J_1$ and next-nearest-neighbor $J_2$ antiferromagnetic superexchange couplings. Our…

Strongly Correlated Electrons · Physics 2015-01-13 Yasir Iqbal , Didier Poilblanc , Federico Becca

We revisit the challenging problem of identifying the quantum spin liquid candidate in the spin-1/2 $J_1$-$J_2$ Heisenberg antiferromagnet on the square lattice. By integrating the Gutzwiller-guided density matrix renormalization group…

Strongly Correlated Electrons · Physics 2025-03-11 Hui-Ke Jin , Hong-Hao Tu , Ya-Hui Zhang

Copper hydroxyhalide materials herbertsmithite ZnCu$_{3}$(OH)$_{6}$Cl$_{2}$ and Zn-barlowite ZnCu$_{3}$(OH)$_{6}$FrBr are thought to be the best realizations of the spin-$\frac{1}{2}$ Kagome quantum antiferromagnetic Heisenberg model and…

Strongly Correlated Electrons · Physics 2024-03-27 Jianhua Yang , Tao Li

In recent work, we argued that a particular algebraic spin liquid (ASL) may be the ground state of the S = 1/2 kagome lattice Heisenberg antiferromagnet. This state, which lacks a spin gap, is appealing in light of recent experiments on…

Strongly Correlated Electrons · Physics 2008-06-10 Michael Hermele , Ying Ran , Patrick A. Lee , Xiao-Gang Wen

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

We provide strong numerical evidence, using improved variational wave functions, for a ground state with vanishing spin gap in the spin-$1/2$ quantum Heisenberg model on the kagome lattice. Starting from the algebraic $U(1)$ Dirac spin…

Strongly Correlated Electrons · Physics 2014-01-20 Yasir Iqbal , Didier Poilblanc , Federico Becca

YbZn$_2$GaO$_5$ is a promising candidate for realizing a quantum spin liquid (QSL) state, particularly owing to its lack of significant site disorder. Pulsed-field magnetometry at 0.5 K shows magnetization saturating near 15 T, with a…

We study the energy and the static spin structure factor of the ground state of the spin-1/2 quantum Heisenberg antiferromagnetic model on the kagome lattice. By the iterative application of a few Lanczos steps on accurate projected…

Strongly Correlated Electrons · Physics 2015-03-20 Yasir Iqbal , Federico Becca , Sandro Sorella , Didier Poilblanc

We studied the magnetic properties of YCu$_3$(OH)$_6$Br$_2$[Br$_{1-x}$(OH)$_{x}$] ($x$ = 0.33), where Cu$^{2+}$ ions form two-dimensional kagome layers. There is no magnetic order down to 50 mK while the Curie-Weiss temperature is on the…

While the existence of a spin-liquid ground state of the spin-1/2 kagome Heisenberg antiferromagnet (KHAF) is well established, the discussion of the effect of an interlayer coupling (ILC) by controlled theoretical approaches is still…

Strongly Correlated Electrons · Physics 2016-08-03 Oliver Götze , Johannes Richter

On a lattice composed of triangular plaquettes where antiferromagnetic exchange interactions between localized spins cannot be simultaneously satisfied, the system becomes geometrically frustrated with magnetically disordered phases…

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