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Related papers: Raman signature of the U(1) Dirac spin-liquid stat…

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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

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 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

We perform a Gutzwiller projected wavefunction study for the spin-1/2 Heisenberg model on the Kagome lattice to compare energies of several spin-liquid states. The result indicates that a U(1)-Dirac spin-liquid state has the lowest energy.…

Strongly Correlated Electrons · Physics 2007-05-23 Ying Ran , Michael Hermele , Patrick A. Lee , Xiao-Gang Wen

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

Quantum spin liquid (QSL) represents a new class of condensed matter states characterized by the long-range many-body entanglement of topological orders. The most prominent feature of the elusive QSL state is the existence of fractionalized…

We investigate the impact of the spin-phonon coupling on the S=1/2 Heisenberg model on the kagome lattice. For the pure spin model, there is increasing evidence that the low-energy properties can be correctly described by a Dirac spin…

Strongly Correlated Electrons · Physics 2024-04-19 Francesco Ferrari , Federico Becca , Roser Valenti

Recently Azaria et al have studied strips of the Kagome-lattice in the weak-coupling limit, where they consist of two spin-half chains on the outside weakly coupled to an array of half-integer spins in the middle. Using a number of mappings…

Condensed Matter · Physics 2009-10-31 Swapan K. Pati , Rajiv R. P. Singh

We numerically study the spin-$1/2$ breathing kagome lattice. In this variation of the kagome Heisenberg antiferromagnet, the spins belonging to upward and downward facing triangles have different coupling strengths. Using the density…

Strongly Correlated Electrons · Physics 2017-11-22 Cécile Repellin , Yin-Chen He , Frank Pollmann

We have performed thermodynamic and neutron scattering measurements on the S=1/2 kagome lattice antiferromagnet Zn Cu_3 (OH)_6 Cl_2. The susceptibility indicates a Curie-Weiss temperature of ~ -300 K; however, no magnetic order is observed…

Strongly Correlated Electrons · Physics 2007-05-23 J. S. Helton , K. Matan , M. P. Shores , E. A. Nytko , B. M. Bartlett , Y. Yoshida , Y. Takano , A. Suslov , Y. Qiu , J. -H. Chung , D. G. Nocera , Y. S. Lee

We find that the best RVB state of the spin-$\frac{1}{2}$ Kagome antiferromagnetic Heisenberg model(spin-$\frac{1}{2}$ KAFH) is described by a $Z_{2}$ gapped mean field ansatz, which hosts a mean field spinon dispersion very different from…

Strongly Correlated Electrons · Physics 2020-11-11 Chun Zhang , Tao Li

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

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

In this paper we report the latest results of exact diagonalizations of SU(2) invariant models on various lattices (square, triangular, hexagonal, checkerboard and kagome lattices). We focus on the low lying levels in each S sector. The…

Strongly Correlated Electrons · Physics 2015-05-13 Philippe Sindzingre , Claire Lhuillier

We study the quantum phase diagram of the spin-$1/2$ Heisenberg model on the kagom\'e lattice with first-, second-, and third-neighbor interactions $J_1$, $J_2$, and $J_3$ by means of density matrix renormalization group. For small $J_2$…

Strongly Correlated Electrons · Physics 2015-04-23 Shou-Shu Gong , Wei Zhu , Leon Balents , D. N. Sheng

We show that there exists a long-range RVB state for the kagome lattice spin-1/2 Heisenberg antiferromagnet for which the spinons have a massless Dirac spectrum. By considering various perturbations of the RVB state which give mass to the…

Strongly Correlated Electrons · Physics 2013-05-29 M. B. Hastings

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

We study the ground state phase diagram of the quantum spin-$1/2$ Heisenberg model on the kagom\'{e} lattice with first- ($J_1 < 0$), second- ($J_2 < 0$), and third-neighbor interactions ($J_d > 0$) by means of analytical low-energy field…

Strongly Correlated Electrons · Physics 2016-07-28 Shou-Shu Gong , Wei Zhu , Kun Yang , Oleg A. Starykh , D. N. Sheng , Leon Balents

We investigate the lattice dynamics in the spin-1/2 frustrated kagome compound herbertsmithite ZnCu$_3$(OH)$_6$Cl$_2$ by a combination of infrared spectroscopy measurements and ab initio density functional theory calculations, and provide…

Strongly Correlated Electrons · Physics 2020-04-29 Ying Li , A. Pustogow , M. Bories , P. Puphal , C. Krellner , M. Dressel , Roser Valenti

We have performed large scale variational search for the best RVB ansatz for the spin-$\frac{1}{2}$ kagome antiferromagnet with both nearest-neighboring(NN) and next-nearest-neighboring(NNN) exchanges assuming only translational symmetry.…

Strongly Correlated Electrons · Physics 2016-01-12 Tao Li
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