Nature of the spin-liquid ground state of the S=1/2 Heisenberg model on the kagome lattice

Depenbrock, Stefan, McCulloch, Ian P. and Schollwoeck, Ulrich (2012) Nature of the spin-liquid ground state of the S=1/2 Heisenberg model on the kagome lattice. Physical Review Letters, 109 6: . doi:10.1103/PhysRevLett.109.067201

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Author Depenbrock, Stefan
McCulloch, Ian P.
Schollwoeck, Ulrich
Title Nature of the spin-liquid ground state of the S=1/2 Heisenberg model on the kagome lattice
Formatted title
Nature of the spin-liquid ground state of the S=1/2 Heisenberg model on the kagome lattice
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
1079-7114
Publication date 2012-08-07
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.109.067201
Open Access Status File (Publisher version)
Volume 109
Issue 6
Total pages 6
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2013
Language eng
Formatted abstract
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 16 000 DMRG states, we consider cylinders with circumferences up to 17 lattice spacings and find a spin liquid ground state with an estimated per site energy of -0.4386(5), a spin gap of 0.13(1), very short—range decay in spin, dimer and chiral correlation functions, and finite topological entanglement γ consistent with γ=logā”22, ruling out gapless, chiral, or nontopological spin liquids in favor of a topological spin liquid of quantum dimension 2, with strong evidence for a gapped topological Z2 spin liquid.
Keyword Matrix renormalization group
T-J model
Quantum magnetism
Antiferromagnet
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Article #067201

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2013 Collection
 
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Citation counts: TR Web of Science Citation Count  Cited 233 times in Thomson Reuters Web of Science Article | Citations
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Created: Sat, 10 Nov 2012, 05:04:28 EST by System User on behalf of Physics