Spin-Liquid Ground State of the S = 1/2 Kagome Heisenberg Antiferromagnet
By Simeng Yan, D. Huse, S. White. Science, 2010
913 citations recorded by the source corpus.
Numerical calculations reveal that the true ground state of a frustrated two-dimensional system is a gapped spin liquid. We use the density matrix renormalization group to perform accurate calculations of the ground state of the nearest-neighbor quantum spin S = 1/2 Heisenberg antiferromagnet on the kagome lattice. We study this model on numerous long cylinders with circumferences up to 12 lattice spacings. Through a combination of very-low-energy and small finite-size effects, our results provide strong evidence that, for the infinite two-dimensional system, the ground state of this model is a fully gapped spin liquid.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/b7bb67b03cedea868104eab4d7964e76889856c1
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In Atomic and Molecular Physics, and Optics
In Condensed Matter Physics
Citations in the corpus
- Magnetostriction and magnetic texture to 100.75 Tesla in frustrated SrCu2(BO3)2 (2012, background): “due to the weakly entangled nature of the ground states, we need to keep only about 1200 DMRG basis states to achieve good convergence in the energy and correlations. In order to optimize convergence (26), we have followed a onedimensional path passing through the strong (diagonal) bonds. To pin the”
- The Hubbard Model (2021, methodology): “] DMRG calculations on cylinders of width up to W = 17 have been performed (132, 133, 134, 135, 136).”
- Fractionalized excitations in the spin-liquid state of a kagome-lattice antiferromagnet (2012, background): “This is especially important, since recent calculations on record lattice sizes indicate that the ground state of this model is, in fact, a quantum spin liquid.[18] Thus, experiments to probe the spin correlations in herbertsmithite are all the more urgent.”
- Quantum spin liquid states (2016, background): “…diagonalization (Lecheminant et al., 1997; Leung and Elser, 1993; Mila, 1998; Waldtmann et al., 1998) and DMRG calculations (Depenbrock et al., 2012; Jiang et al., 2012a, 2008; Yan et al., 2011) strongly indicate the existence of a spin gap and seem to rule out the U(1)-Dirac spin liquid scenario.”
- Superconductivity in the Z2 kagome metal KV3Sb5 (2020, background): “Between these two extremes, kagome metals are predicted to support a wide array of instabilities, ranging from bond density wave order [6, 7], charge fractionalization [8, 9], spin liquid states [10], charge density waves [11] and superconductivity [6, 12].”