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There is growing evidence from both experiment and numerical studies that low half-odd integer quantum spins on a kagome lattice with predominant antiferromagnetic near neighbor interactions do not order magnetically or break lattice…

Strongly Correlated Electrons · Physics 2009-11-13 S. Ryu , O. I. Motrunich , J. Alicea , Matthew P. A. Fisher

Inspired by the recent theoretical suggestion that the random-bond $S=1/2$ antiferromagnetic Heisenberg model on the triangular and the kagome lattices might exhibit a randomness-induced quantum spin liquid (QSL) behavior when the strength…

Strongly Correlated Electrons · Physics 2015-10-28 Tokuro Shimokawa , Ken Watanabe , Hikaru Kawamura

With strong geometric frustration and quantum fluctuations, S=1/2 quantum Heisenberg antiferromagnets on the Kagome lattice has long been considered as an ideal platform to realize spin liquid (SL), a novel phase with no symmetry breaking…

Strongly Correlated Electrons · Physics 2015-03-19 Yuan-Ming Lu , Ying Ran , Patrick A. Lee

Motivated by recent density-matrix renormalization group (DMRG) calculations [Yan, Huse, and White, Science 332, 1173 (2011)], which claimed that the ground state of the nearest-neighbor spin-1/2 Heisenberg antiferromagnet on the kagome…

Strongly Correlated Electrons · Physics 2011-07-25 Yasir Iqbal , Federico Becca , Didier Poilblanc

It has been suggested that the nearest-neighbour (NN) antiferromagnetic Heisenberg (HAF) model on the Kagome lattice may be a good starting point to understand the quantum spin-liquid (QSL) behaviour discovered in Herbertsmithite. We…

Strongly Correlated Electrons · Physics 2014-01-16 Tyler Dodds , Subhro Bhattacharjee , Yong Baek Kim

Spin-$1/2$ kagome antiferromagnets are leading candidates for realizing quantum spin liquid (QSL) ground states. While QSL ground states are predicted for the pure Heisenberg model, understanding the robustness of the QSL to additional…

Strongly Correlated Electrons · Physics 2026-02-16 Shengtao Jiang , Arthur C. Campello , Wei He , Jiajia Wen , Daniel M. Pajerowski , Young S. Lee , Hong-Chen Jiang

We investigate various competing paramagnetic ground states of the Heisenberg antiferromagnet on the two dimensional star lattice which exhibits geometric frustration. Using slave particle mean field theory combined with a projective…

Strongly Correlated Electrons · Physics 2013-05-29 Bohm-Jung Yang , Arun Paramekanti , Yong Baek Kim

Nearest-neighbor interacting S = 1/2 spins on the ideal Kagom\'{e} lattice are predicted to form a variety of novel quantum entangled states, including quantum spin-liquid (SL) and valence bond solid (VBS) phases. In real materials, the…

Strongly Correlated Electrons · Physics 2019-10-31 N. J. Laurita , A. Ron , J. W. Han , A. Scheie , J. P. Sheckelton , R. W. Smaha , W. He , J. -J. Wen , J. S. Lee , Y. S. Lee , M. R. Norman , D. Hsieh

We explore the Dirac spin liquid (DSL) as a candidate for the ground state of the Mott insulating phase of fermions with six flavors on the Kagome lattice, particularly focusing on realizations using $^{173}$Yb atoms in optical lattices.…

Strongly Correlated Electrons · Physics 2025-12-02 Dániel Vörös , Kránitz Péter , Karlo Penc

A preponderance of evidence suggests that the ground state of the nearest-neighbor $S = 1/2$ antiferromagnetic Heisenberg model on the kagome lattice is a gapless spin liquid. Many candidate materials for the realization of this model…

Strongly Correlated Electrons · Physics 2018-12-13 Chih-Yuan Lee , B. Normand , Ying-Jer Kao

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

Algebraic spin liquids are quantum disordered phases of insulating magnets which exhibit fractionalized gapless excitations and power-law correlations. Quantum spin liquids in this category include the experimentally established 1D…

Strongly Correlated Electrons · Physics 2025-12-09 Francesco Ferrari , Josef Willsher , Urban F. P. Seifert , Roser Valentí , Johannes Knolle

The kagome Heisenberg antiferromagnet formed by frustrated spins arranged in a lattice of corner-sharing triangles is a prime candidate for hosting a quantum spin liquid (QSL) ground state consisting of entangled spin singlets. But the…

Strongly Correlated Electrons · Physics 2022-03-09 Jiaming Wang , Weishi Yuan , Philip M. Singer , Rebecca W. Smaha , Wei He , Jiajia Wen , Young S. Lee , Takashi Imai

The effect of the quenched bond-randomness on the ordering of the $S=1/2$ antiferromagnetic Heisenberg model on the kagome lattice is investigated by means of an exact-diagonalization method. When the randomness exceeds a critical value,…

Strongly Correlated Electrons · Physics 2015-08-18 Hikaru Kawamura , Ken Watanabe , Tokuro Shimokawa

We investigate the low temperature magnetic properties of a $S=\frac{5}{2}$ Heisenberg kagom\'e antiferromagnet, the layered monodiphosphate Li$_9$Fe$_3$(P$_2$O$_7$)$_3$(PO$_4$)$_2$, using magnetization measurements and $^{31}$P nuclear…

Strongly Correlated Electrons · Physics 2021-10-08 E. Kermarrec , R. Kumar , G. Bernard , R. Hénaff , P. Mendels , F. Bert , P. L. Paulose , B. K. Hazra , B. Koteswararao

Temperature-dependent dynamical spin correlations, which can be readily accessed via a variety of experimental techniques, hold the potential of offering a unique fingerprint of quantum spin liquids and other intriguing dynamical states. In…

Strongly Correlated Electrons · Physics 2021-01-21 P. Prelovšek , M. Gomilšek , T. Arh , A. Zorko

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

Recent experiments suggest a quantum spin liquid ground state in the material PbCuTe$_2$O$_6$, where $S=1/2$ moments are coupled by antiferromagnetic Heisenberg interactions into a three dimensional structure of corner sharing triangles…

Strongly Correlated Electrons · Physics 2021-09-15 Li Ern Chern , Yong Baek Kim

Spin-1/2 kagome-lattice Heisenberg antiferromagnet is theoretically known to have a quantum spin liquid ground state, one of the frontiers of condensed matter physics. The search for the model substances has been continued for a long time,…

Strongly Correlated Electrons · Physics 2024-08-21 Hidekazu Tanaka

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
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